1) The formula for the general term, an, is[tex]a_n = n^2.[/tex]
2) The formula for the general term, an, is [tex]a_n = (1/2)^{(n-1).[/tex]
The total of a geometric sequence's finite or infinite terms is known as a geometric series. The analogous geometric series is a + ar + ar2 +..., arn-1 + for the geometric sequence a, ar, ar2,..., arn-1,... We are aware that "series" equates to "sum". The geometric series specifically refers to the total of phrases with a common ratio between every pair of neighboring terms.
1. The given sequence is a perfect square sequence, where each term is the square of its position in the sequence. Therefore, the formula for the general term, an, is[tex]a_n = n^2.[/tex]
2. The given sequence is a geometric sequence with a common ratio of 1/2. Therefore, the formula for the general term, an, is [tex]a_n = (1/2)^{(n-1).[/tex]
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What is the probability of NOT drawing a face card from a standard deck of 52 cards.
8 over 13
3 over 13
10 over 13
1 half
The probability of NOT drawing a face card from a standard deck of 52 cards is 10 over 13.
First determine the total number of face cards and non-face cards in a standard deck of 52 cards. In a standard deck, there are 12 face cards (3 face cards per suit: Jack, Queen, and King, and 4 suits: Hearts, Diamonds, Clubs, and Spades). This means there are 52 - 12 = 40 non-face cards.
Now, we'll calculate the probability of NOT drawing a face card:
Probability = (Number of favorable outcomes) / (Total number of outcomes)
Probability of NOT drawing a face card = (Number of non-face cards) / (Total number of cards)
Probability = 40 / 52
Simplify the fraction by dividing the numerator and denominator by their greatest common divisor (4):
Probability = (40/4) / (52/4)
Probability = 10 / 13
So, the probability of NOT drawing a face card from a standard deck of 52 cards is 10/13. Your answer: 10 over 13.
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Find the point on the line 2x + 7y - 4 = 0 which is closest to the point (-3, 4)
The point on the line which is closes to the point ( -, ) would be (49/9, -10/7).
How to find the point ?Having obtained the minimum distance between (-3, 4) and the line, we now seek to locate the precise point on that line. Achieving this requires a comprehension of the perpendicular line concept. Identifying where the line encountering the pivot point in question and intersecting the reference line perpendicularly is crucial for determining the closest point present on the line.
At present, the slope of the perpendicular line as well as its passing point (-3, 4) have been successfully determined. Employing the point-slope method we can obtain the equation representing the aforementioned perpendicular line:
-2x + 4 - 28 = 7x + 21
-9x = -49
x = 49/9
We can then use x to find y:
y = ( - 2 ( 49 / 9 ) + 4 ) / 7
y = (4 - 98 / 9 ) / 7
y = ( - 90 / 9) / 7
y = -10 / 7
So, the point on the line closest to the point (-3, 4) is ( 49 / 9, -10 / 7 ).
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What is the cordinate of (-7,-3) after a rotation 90 clockwise about the origin?
The coordinates of the point (-7,-3) after a 90 degree clockwise rotation about the origin are (-3,-7).
To rotate a point 90 degrees clockwise about the origin, we need to swap its x and y coordinates and negate the new x coordinate.
So, starting with point (-7,-3):
Swap the x and y coordinates to get (3,-7)
Negate the new x coordinate to get (-3,-7)
Therefore, the coordinates of the point (-7,-3) after a 90 degree clockwise rotation about the origin are (-3,-7).
In mathematics, coordinates are used to specify the position of a point or an object in a particular space. The number of coordinates needed depends on the dimension of the space in which the point or object exists.
In two-dimensional space (also called the Cartesian plane), a point is located by two coordinates, usually denoted as (x, y), where x represents the horizontal distance from a fixed reference point called the origin, and y represents the vertical distance from the origin.
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Rose works a concession stand at a football game that sells whole pretzels and bottle of water.
Each pretzel sells for $2.50 and each bottle of water sells for $1.00
Rose collected $135 in sales
Rose sold a total of 87 items at the past game
Enter the number of pretzels rose sold at the game
Rose sold 53.6 pretzels.
P x ? + W = 135
2.50 x 53.6 + 1.00 = 135
(7, 1) and (-2, 3)
Slope =
The slope of the line passing through (7,1) and (-2,3) is -2/9.
We use the following formula to get the slope of a line through two specified points:
slope = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
We can calculate the slope of the line passing through the points (7, 1) and (-2, 3) using this formula:
slope = (3 - 1) / (-2 - 7) = 2 / (-9) = -2/9
Therefore, the slope of the line passing through the points (7, 1) and (-2, 3) is -2/9.
The slope of a line, in geometric terms, is the ratio of the vertical change (rise) to the horizontal change (run). If the slope is negative, the line is decreasing as we move from left to right. With a slope of 2 units downward for every 9 units to the right, the line is sloping downward from left to right.
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The inequality x2 – 5x + 3 < 3 can be broken down into two related inequalities. The graphs of these related inequalities are shown on the graph to the left. Which set shows the solution to the inequality? (0, 5) (–3.25, 3) (–∞, 0) ∪ (5, ∞) (–∞,–3.25) ∪ (3, ∞)
The inequality Ellen’s graph shows the solution to is, Negative 3.25 less-than negative 2.5 + r, the correct option is C.
Here, we have,
An Inequality is a statement that is formed when two expressions are joined using an inequality operator.
A number line is a line segment that depicts the real numbers marked at a fixed distance, like a coordinate axis.
A graph is a representation of the relation between two variables, a graph is useful in determining the equation of the variables.
A number line going from negative 1.25 to positive 0.75. An open circle is at negative 0.75, everything to the left of the circle is shaded.
An open circle represents the number that is not included.
x < -0.75
x < -3.25 +2.5
x -2.5 < 3.25
It can also be written as,
Negative 3.25 less-than negative 2.5 + r.
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complete question;
Ellen drew a graph showing the solution to an inequality.
A number line going from negative 1.25 to positive 0.75. An open circle is at negative 0.75. Everything to the left of the circle is shaded.
Which inequality does Ellen’s graph show the solution to?
3.25 less-than 2.5 + r
3.25 greater-than 2.5 + r
Negative 3.25 less-than negative 2.5 + r
Negative 3.25 greater-than negative 2.5 + r
WHAT IS THE AREA OF A TRAPEZOID WITH COORDINATES (1,4) (1,-3) (6,6) (6,-5)
Answer:
THESE NUTS
Step-by-step explanation:
Find f(-3) for the piece-wise function.
The value of function f(- 3) for the piece-wise function is,
⇒ f (- 3) = - 1
We have to given that;
The piece-wise function is,
f (x) = (x + 2) ; if x < 2
= (x + 1) ; if x ≥ 2
Hence, At x = - 3;
Function is,
⇒ f (x) = x + 2
Hence, Substitute x = - 3;
⇒ f (- 3) = - 3 + 2
⇒ f (-3) = - 1
Thus, The value of function f(- 3) for the piece-wise function is,
⇒ f (- 3) = - 1
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what 2 numbers equal -884
Answer:
-883 - 1
Step-by-step explanation:
Select the correct answer.
Amy constructed this figure by using a compass to draw circle C and then a straightedge to draw diameter AB through point C. Then, with the compass still set equal to the radius of the circle, Amy drew two arcs centered at point B and labeled the points of intersection D and E. She used the straightedge to draw chords AD, AE, and DE.
A circle has an arc at its center and is labeled C. Three points A D and E complete a triangle. The diameter is A B through point C. Two broken lines are drawn from C to D and D to B.
Amy notes that arcs ADB and AEB are semicircles and that ΔBDC is equilateral. Because ∠BCD is a central angle, she can say that
= 60°. She uses these facts to determine
=
=
= 120°. Finally, she concludes ΔADE is equilateral because congruent arcs are intercepted by congruent chords.
Why is ΔBDC is equilateral?
A.
Triangle BDC is equilateral because diameter AB is a perpendicular bisector of chord BD.
B.
Triangle BDC is equilateral because arcs BD and BE are two arcs with the same radius and center.
C.
Triangle BDC is equilateral because the sum of the three angle measures in ΔADE is the same as the measure of a semicircle.
D.
Triangle BDC is equilateral because the distance between all three vertices is equal to the radius of the circle.
The reason why ΔBDC is equilateral include the following: D. Triangle BDC is equilateral because the distance between all three vertices is equal to the radius of the circle.
What is an equilateral triangle?In Mathematics, an equilateral triangle can be defined as a special type of triangle that has equal side lengths and all of its three (3) interior angles are equal.
In order to determine whether the triangle with any given vertices is an equilateral triangle, we would apply the distance formula to calculate the length of each side of this triangle.
In conclusion, we can logically deduce that the triangle with these vertices is an equilateral triangle because C = A = B i.e "the distance between all three vertices is equal to the radius of the circle."
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researchers found the demand for cheese in a particular country for a particular year can be estimated by the implicit equation -0.82 Inp where p represents the price of a unit of cheese and D represents a constant that can be calculated uniquely for a particular year. Here q represents the annual per capita cheese demand. Answer parts (a) and (b) below. P do 9 dp (a) Use implicit differentiation to calculate and interpret the elasticity of demand. Recall that elasticity of demand is E- Show the first step of implicit differentiation, the equation that results from differentiating each side of the equation da dp Find the elasticity of demand E =(Simplify your answer) Interpret the elasticity of demand you calculated O A. Demand is inelastic OB. Demand is elastic O C. Demand may be elastic or inelastic, depending on the value of D. OD. Demand has unit elasticity
(b) Solve the equation for then calculate the elasticity of demand q= E=
(Simplify your answer.)
(a) First step of implicit differentiation:
-0.82dP/dt = dq/dt
The equation that results from differentiating each side of the equation with respect to P is:
-0.82 - 0.82P(d^2q/dP^2) = (dQ/dP)(dP/dt)/(dq/dt)
To find the elasticity of demand, we need to use the formula:
E = (dQ/Q)/(dP/P)
We can rewrite this as:
E = (dQ/dP) * (P/Q)
We know that dQ/dP = -0.82P(d^2q/dP^2), so we substitute that into the formula:
E = (-0.82P(d^2q/dP^2)) * (P/q)
Simplifying this expression, we get:
E = -0.82P^2(d^2q/dP^2)/q
(b) We can solve the original equation for q by dividing both sides by -0.82:
q = (-1/0.82)P + D
Taking the derivative of q with respect to P, we get:
dq/dP = -1/0.82
We can use this result to calculate the elasticity of demand using the formula:
E = (dQ/dP) * (P/Q)
Substituting the values we found, we get:
E = (-1/0.82) * (P/((-1/0.82)P + D))
Simplifying this expression, we get:
E = -1/(P/((-1/0.82)P + D))
E = -1/((D/P) - 1.22)
(a) Interpretation: The elasticity of demand is a measure of how much the quantity demanded changes in response to a change in price. If E > 1, demand is considered elastic, meaning that a small change in price will result in a large change in quantity demanded. If E < 1, demand is considered inelastic, meaning that a change in price will result in a small change in quantity demanded. If E = 1, demand is unit elastic, meaning that a change in price will result in an equal proportional change in quantity demanded.
(b) Interpretation: The elasticity of demand in this case depends on the values of D and P. If D is relatively small compared to P, then the elasticity of demand will be close to -1.22, which is the upper limit of the elasticity. If D is relatively large compared to P, then the elasticity of demand will be close to zero, which means that demand is very inelastic.
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The line graph shows the number of pairs of shoes owned
by some children
a)
Number of children
3
2
1
0
2 3 4 5 6
3 4
Number of pairs of shoes
0
1 2
What is the modal number
of pairs of shoes owned by the
children?
b) What is the median number
of pairs of shoes owned by the
children?
c) What is the mean number of
pairs of shoes owned by the
children?
1. The modal number of pairs of shoes owned by the children is 3.
2. The median number of pairs of shoes owned by the children is 3.
3. The Mean is 3.
1. The modal number of pairs of shoes owned by the children is 3.
2. The median number of pairs of shoes owned by the children
= 14/2 th term
= 7 th term
= 3
3. The Mean
= (1 x 2+ 2 x 3+ 3 x 5+ 4 x 2 + 5 x 1+ 6x 1)/ (2 +3 +5 +2 + 1 +1)
= 42/14
= 3
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A scatter plot is shown on the coordinate plane.
scatter plot with points plotted at 1 comma 5, 1 comma 8, 2 comma 4, 3 comma 5, 3 comma 6, 5 comma 6, 6 comma 4, 7 comma 2, 9 comma 1, and 10 comma 1
Which two points would a line of fit go through to best fit the data?
(6, 4) and (9, 1)
(3, 5) and (10, 1)
(1, 8) and (5, 6)
(1, 5) and (7, 3)
Answer:
I believe (3, 5) and (10, 1) is the answer
Step-by-step explanation:
Question 2 of 25
On a piece of paper, graph f(x): {
answer choice matches the graph you drew.
O A.
10
107
4 if x < 3
2 xifx > 3
y
X
10-X
Click here for long description
. Then determine which
The choice that matches the graph of the function as is defined to us is: Graph A.
How to explain the graphWe are given a function f(x) as:
f(x)= 2x if x < 3
and 4 if x ≥ 3
This means that in the region (-∞,3) the graph of a function is a straight line that passes through the origin and has a open circle at x=3.
Also, in the region [3,∞) the graph is a straight horizontal line i.e. y=4.
Hence, the graph of this function is Graph A.
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On a piece of paper, graph f(x)={2x if x <3
{4 if x >3. Then determine which answer choice matches the graph you drew
Use the Intermediate Value Theorem to identify the location of the first positive root in f(x)=x²-3
The first positive root of the function f(x) = x² - 3 is located between x = 1 and x = 2.
The Intermediate Value Theorem states that if a function is continuous on a closed interval [a, b] and takes on values f(a) and f(b) with opposite signs, then there exists at least one root (zero) of the function between a and b.
In this case, we have f(x) = x² - 3. To find the first positive root of the function, we need to look for a positive value of x where f(x) = 0.
We can start by evaluating f(0) and f(2), which are the values of the function at the endpoints of the interval [0, 2]:
f(0) = 0² - 3 = -3
f(2) = 2² - 3 = 1
Since f(0) is negative and f(2) is positive, by the Intermediate Value Theorem, there must be at least one root of the function between x = 0 and x = 2.
To further narrow down the location of the root, we can evaluate f(1), which is the midpoint of the interval [0, 2]:
f(1) = 1² - 3 = -2
Since f(1) is negative, we know that the root is between x = 1 and x = 2.
To summarize, the first positive root of the function f(x) = x² - 3 is located between x = 1 and x = 2.
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In science class, Beth learned that light travels faster than sound. Her teacher explained that
you can estimate how far away a lightning strike is by counting the number of seconds
between seeing the lightning and hearing thunder. She told Beth that light from a lightning
strike is visible almost instantly, but that thunder from the lightning strike travels 1 mile
every 5 seconds. You can use a function to estimate how far away lightning Is If It takes x
seconds to hear the thunder.
Is the function linear or exponential?
linear
exponential
Which equation represents the function?
g(x) - (-)*
g(x) = x
If the teacher explained that you can estimate how far away a lightning strike is by counting the number of seconds.
The function is linearThe equation that represents the function is g(x) = 1/5x.What is the equation?A linear function is used to calculate how far away lightning is depending on how long it takes to hear thunder.
The function is represented by the equation:
Distance = Time × Speed
Where:
Distance is measured in miles
Speed is measured in miles per second = 1 mile per 5 seconds
Time is measured in seconds as the duration of the thunderclap.
The equation is
Distance = (1/5) x time
Therefore the equation for the function is g(x) = 1/5x.
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A person is assuming responsibility for a $335 000 loan which should be repaid in 15 equal repayments of Sa, the first one immediately and the following after each of the coming 14 years. Find a if the annual interest rate is 14%.
Value of a is $52,427.69
To find the value of "a" in this situation, we can use the formula for the present value of an annuity:
PV = a * [1 - (1 + r)^(-n)] / r
where PV is the present value of the loan, a is the amount of each payment, r is the annual interest rate (expressed as a decimal), and n is the number of payments.
In this case, we know that PV = $335,000, r = 0.14, and n = 15. We want to solve for a.
Substituting these values into the formula, we get:
$335,000 = a * [1 - (1 + 0.14)^(-15)] / 0.14
Simplifying, we get:
a = $52,427.69
Therefore, the person assuming responsibility for this loan would need to make 15 equal payments of $52,427.69 each year for the next 15 years in order to repay the loan. The total amount paid would be $786,415.35, which includes both the principal amount of $335,000 and $451,415.35 in interest.
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The 11 members of the Town Board must decide where to build a new post office. Their three choices are (L)ehigh Road, (E)rie Road, and (O)ntario Road. The results are displayed in the table.Votes 5 2 41st L E O2nd E O E3rd O L LDetermine the winner using the pairwise comparison method.Select one:a. No winner -- three-way tieb. Eriec. Ontariod. Lehighe. No winner -- Erie and Lehigh tie
The winner using the pairwise comparison method is found to be Ontario. The correct answer is option c.
11 members of the town board must decide where to build a new post office.
Using the pairwise comparison method, we compare each choice against the other two.
For Lehigh Road (L) vs. Erie Road (E): L receives 5 votes and E receives 2 votes. Therefore, L wins this comparison.
For Lehigh Road (L) vs. Ontario Road (O): L receives 2 votes and O receives 4 votes. Therefore, O wins this comparison.
For Erie Road (E) vs. Ontario Road (O): E receives 2 votes and O receives 4 votes. Therefore, O wins this comparison.
Based on these pairwise comparisons, Ontario Road (O) wins with a total of 8 votes, followed by Lehigh Road (L) with a total of 7 votes, and Erie Road (E) with a total of 4 votes.
Therefore, the correct answer is the option c. Ontario
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Give the contrapositive of the following statements. (a) If mor n is even then mnd is even. (b) If x E ANB then 2 € A and r e B, where A and B are subsets of R. (c) Let S be a subset of R. If u is an upper bound for Sthen for every € >0 there exists some ES such that e-c
In logic, the contrapositive of an implication is a new statement that is formed by switching the hypothesis and conclusion, and negating both. In other words, the contrapositive of "if p then q" is "if not q, then not p."
Please find the contrapositives of the given statements below:
(a) Original statement: If m or n is even, then mn is even.
Contrapositive: If mn is not even, then neither m nor n is even.
(b) Original statement: If x ∈ A∩B, then 2 ∈ A and r ∈ B, where A and B are subsets of R.
Contrapositive: If 2 ∉ A or r ∉ B, then x ∉ A∩B, where A and B are subsets of R.
(c) Original statement: Let S be a subset of R. If u is an upper bound for S, then for every ε > 0, there exists some E ∈ S such that u - E < ε.
Contrapositive: Let S be a subset of R. If for some ε > 0, there is no E ∈ S such that u - E < ε, then u is not an upper bound for S.
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use the compound interest formula to determine the final value of the given amount $800 at 11% compounded continuosly for 8 years
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$800\\ r=rate\to 11\%\to \frac{11}{100}\dotfill &0.11\\ t=years\dotfill &8 \end{cases} \\\\\\ A = 800e^{0.11\cdot 8}\implies A=800e^{0.88} \implies A \approx 1928.72[/tex]
Evaluate the Expression
You want to hang 6 pictures in a row on a wall. You have 11 pictures from which to choose. How many picture arrangements are possible?
The number of different arrangements that can be formed is 7920
How many different arrangements can be formed?From the question, we have the following parameters that can be used in our computation:
Pictures = 11
Arranged pictures = 6
These can be represented as
n = 11 and r = 6
The number of different arrangements that can be formed is
Number = nPr
So, we have
Number = 11P4
Evaluate
Number = 7920
Hence, the arrangements are 7920
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Please help 5 points Question in picture
Identify the type of slope each graph represents
A) Positive
B) Negative
C) Zero
D) Undefined
When reading a graph it’s the same as reading most books from left to right and since the line goes up from left to right it is a positive slope.
the value of a house is increasing by 2400 per year. if it is worth 110,000 today, what will it be worth in four years
The value of house will be worth $119,600 in four years.
To calculate the value of the house in four years, we need to first determine the total increase in value over that period. Since the value is increasing by $2400 per year, the total increase over four years will be 4 times $2400, or $9600.
Next, we can add the total increase to the current value of the house to find the future value. The current value is given as $110,000, so adding the $9600 increase gives us a future value of $119,600.
Therefore, we can conclude that the value of house will be worth $119,600 in four years, assuming that the annual increase in value remains constant at $2400. It is important to note that this calculation is based on a simple linear model and does not take into account other factors that may affect the value of the house, such as changes in the housing market or renovations made to the property.
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Lisa is packing a set of cubic inch blocks into the box shown below. How many blocks will fit in the box?
A rectangular prism that measures 3 inches by 5 inches by 8 inches.
Answer: 120
Step-by-step explanation:V= 8x5x3 =120 ^3
what is 3/8 and 7/8 percent change?
Percentage of change is increase and the percentage of change is 133.3%.
Change in percentage = changed percent × 100 / initial value
3/8 is changed into 7/8.
Change in value = 7/8 - 3/8 = 1/2
Change in percentage = 1/2 / 3/8 × 100
= 133.3%
Hence the percentage of change is increase and the percentage of change is 133.3%.
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dude someone hurry up and help please
The proportion that can be used to find the length of the side y for the similar triangle DEF is y/16 = 38/32, which makes option C correct.
What are similar trianglesSimilar triangles are two triangles that have the same shape, but not necessarily the same size. This means that corresponding angles of the two triangles are equal, and corresponding sides are in proportion.
The side DE corresponds to AB, also the side DF corresponds to AC, so;
DE/AB = DF/AC
y/38 = 16/32
by cross multiplication;
y/16 = 38/32
Therefore, the proportion that can be used to find the length of the side y for the similar triangle DEF is y/16 = 38/32.
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The ratio to pens and pencils in a box is 3 to 5. If there are 96 pens and pencils in the box altogether ,how many more pens should be put in the box to make the ratio of pens to pencils 1:1?
Answer:
3x + 5x = 96
8x = 96, so x = 12
There are currently 3(12) = 36 pens and 5(12) = 60 pencils in the box, so 60 - 36 = 24 more pens should be put in the box.
The question is based on the information provided below:
From a group of seven people – $\text{J, K, L, M, N, P}$ and $\text{Q}$ – exactly four will be selected to attend a diplomat’s retirement dinner. Selection must conform the following conditions:
Either $\text{J}$ or $\text{K}$ must be selected, but $\text{J}$ and $\text{K}$ cannot both be selected
Either $\text{N}$ or $\text{P}$ must be selected, but $\text{N}$ and $\text{P}$ cannot both be selected
$\text{N}$ cannot be selected unless $\text{L}$ is selected
$\text{Q}$ cannot be selected unless $\text{K}$ is selected
If $\text{P}$ is not selected to attend the retirement dinner, then exactly how many different groups of four are there each of which would be an acceptable selection?
A. one
B. two
C. three
D. four
D. four. we can see that there are exactly four different groups of four that can be formed while adhering to the given conditions.
To answer this question, we need to find the number of different groups of four that can be formed while adhering to the given conditions for attending the retirement dinner.
1. Either J or K must be selected, but not both.
2. Either N or P must be selected, but not both.
3. N cannot be selected unless L is selected.
4. Q cannot be selected unless K is selected.
Let's find the different acceptable groups step by step:
Case 1: J is selected, P is selected
- J, P, L, M (L must be selected since N is not selected)
Case 2: J is selected, N is selected
- J, N, L, M (L must be selected because of condition 3)
Case 3: K is selected, P is selected
- K, P, L, M (Q cannot be selected because P is selected)
Case 4: K is selected, N is selected
- K, N, L, Q (L must be selected because of condition 3, and Q can be selected because of condition 4)
From the four cases listed, we can see that there are exactly four different groups of four that can be formed while adhering to the given conditions.
Your answer: D. four
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Mr. smith is taking an extravagant trip to Puerto Rico. He knows he can bring 1.5 bags for every $52.50 he pays. If his flight costs $262.50 how many bags can Mr. smith bring?
The box plot displays the number of flowers planted in a town last summer.
A box plot uses a number line from 3 to 31 with tick marks every one-half unit. The box extends from 10 to 18 on the number line. A line in the box is at 12. The lines outside the box end at 4 and 30. The graph is titled Flowers Planted In Town, and the line is labeled Number of Flowers.
Which of the following is the best measure of center for the data shown, and what is that value?
The median is the best measure of center and equals 12.
The median is the best measure of center and equals 14.
The mean is the best measure of center and equals 12.
The mean is the best measure of center and equals 14.
According to the information presented on the box plot:
The median is the best measure of center and equals 12.How to get the medianThe box plot illustrates a rectangular shape extending from the numerical values of 10 to 18 on a number line, where an inner line rests at the numerical value of 12 within the confines of the rectangle.
The median functions as the numeric value that effectively splits data in half, equally distributing percentages of 50% below and above it while defining its centrality.
In this case, the statement "A line in the box is at 12" defines the median.
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