Answers
The interquartile range for this distribution is 23.
How to calculate the interquartile range of a grouped data set?In Mathematics, the first quartile and third quartile of a grouped data set with class interval can be calculated by using this formula;
First quartile (Q₁) = [tex]L+(\frac{\frac{N}{4} -F_c}{F_q} )C[/tex]
Third quartile (Q₃) = [tex]L+(\frac{\frac{3N}{4} -F_c}{F_q} )C[/tex]
Where:
L is the lower class boundary (LCB) of the quartile class.N represents the total frequency of the data set.C is the class width.Fc is the cumulative frequency before the quartile class.Fq is the frequency of the quartile class.For the first quartile (Q₁), we have:
First quartile (Q₁) = 1/4 × 100 = 25th observation.
[tex]20+(\frac{\frac{100}{4} -19}{30} ) \times 10\\\\20+(\frac{25-19}{30} ) \times 10[/tex]
First quartile (Q₁) = 20 + 2 = 22.
For the third quartile (Q₃), we have:
Third quartile (Q₃) = 3/4 × 100 = 75th observation.
[tex]40+(\frac{\frac{300}{4} -70}{10} ) \times 10\\\\40+(\frac{75-70}{10} ) \times 10[/tex]
Third quartile (Q₃) = 40 + 5 = 45.
Mathematically, the interquartile range (IQR) of a data set is the difference between third quartile (Q₃) and the first quartile (Q₁):
Interquartile range (IQR) of data set = Q₃ - Q₁
Interquartile range (IQR) of data set = 45 - 22
Interquartile range (IQR) of data set = 23.
Read more on interquartile range (IQR) here: brainly.com/question/17658705
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Related Questions
Plz help right answer gets brainly
Answers
Answer:
36..............!!!!
Suppose you are dealt one card each from two separate decks of cards. What is the
probability that both of your cards are:
a) red?
b) spades?
c) jacks?
d) face cards?
Answers
Kyra is playing a card game. Black cards are worth points while red cards take points away. What is her score if she has a black 20-card and a red 42-card?
Answers
Answer:
-22
Step-by-step explanation:
20-42=22
Answer:
Her score is -22
Step-by-step explanation:
To get the answer you need to subtract 42 from 20
42-20 is -22
9x-8x=19 solve for y
Answers
Answer:
x = 19
Step-by-step explanation:
9x-8x=19
Combine 9x and -8x
1x = 19
Divide 1 from both sides
x = 19
Consider the function shown on the graph.
Which function does the graph represent?
Answers
The quadratic function graphed is defined as follows:
f(x) = 3(x - 3)(x - 7).
How to define the function?We are given the roots for each function, hence the factor theorem is used to define the functions.
The function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.
The roots of the function are given as follows:
x = 3.x = 7.Hence the linear factors of the function are:
x - 3.x - 7.The function then is:
f(x) = a(x - 3)(x - 7)
When x = 8, y = 15, hence the leading coefficient a is obtained as follows:
5a = 15
a = 3.
Hence:
f(x) = 3(x - 3)(x - 7).
More can be learned about the Factor Theorem at brainly.com/question/24729294
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HELP PLEASE An officer building 55 ft tall cast a shadow 30 ft long. How tall is a person standing nearby who cast a shadow 3 ft long
Answers
Answer:
About 5.52 feet tall.
Step-by-step explanation:
Divide 55/30. You will get 1.84. Then multiply 3 by 1.84 to get the answer :)
I need to know ASAP please
Answers
Answer: S=3c
............................................................................................................................................................................
I need to figure out what is X
Answers
Answer:
I solved it and my answer is 20
What is the quotient?
(-7)^2/(-7)^-1
Answers
Answer:
49/(-1/7)=49*-7=-343
Step-by-step explanation:
In Exercises 15-17, solve the equation.
15. 312 - t = 0
16. 5y + 10y = 0
17. 21n + 12n² = 0
Answers
Answer:
15. t = 312
16. y = 0
17. n = -1.75 and 0
Step-by-step explanation:
A- y=2x+4
B- y=1/2x+4
C- y= -1/2x+4
D- y=-2x+4
Answers
w + 7/8 = -3/4 Solve for w
Answers
Answer:
1/8
Step-by-step explanation:
Complete the sentences.
The population of Austin, Texas, is more than 790,390 people.
4. The digit 7 is in the hundred thousands
place and has a value of?
Answers
Answer:
700,000
Step-by-step explanation:
To explain this, we need to know the basics.
If you look at the number 790,390, you should automatically know that you can also write the same number as:
700,000 + 90,000 + 300 + 90
How did we do this?
Because each number in 790,390 has a value.
In fact, we can do this for any number! Like this:
12,345
You can also write the same number like this:
10,000 + 2,000 + 300 + 40 + 5
Back to the original question. If there is a seven in the hundred thousands place, that means that the 9 is equal to 700,000
Examples:
12,345
The 3 in this number stands for 300, since it is in the hundreds place.
678,900
The 7 in this number stands for 70,000 because it is in the ten thousands place
Now you know!
In Houston, Texas, it is 92 degrees Fahrenheit. The temperature is expected to drop 2.5 degrees each hour. In Chicago, Illinois, it is 80 degrees Fahrenheit, and the temperature is expected to drop 1 degree each hour. Which inequality shows the number of hours, x, it will take for the temperature in Chicago to be greater than the temperature in Houston?
A. 92 – 2.5x > 80 – x
B. 92x – 2.5 x + 80
D. 92 – 2.5x < 80 – x
Answers
Answer:
the answer is d i took the test and got it right
Step-by-step explanation:
i have none
Explain how to find the slope and equation of the graph
Answers
7.45+(-24.45)+74.17+(-76.52)
Answers
Answer:
-19.35
Step-by-step explanation:
Steps
7.45−24.45+74.17−76.52
−17+74.17−76.52
57.17−76.52
-19.35
Please i need the answer fast k12
Answers
(A) The range and IQR for boxplot 1 is 10 and 6 respectively.
(B) The range and IQR for boxplot 2 is 12 and 7 respectively.
What is the IQR?The interquartile range defines the difference between the third and the first quartile.
The formula for the interquartile range is given below.
Interquartile range = Upper Quartile – Lower Quartile = Q3 – Q1
What is the range?The range is the difference between the lowest and highest values.
The formula for the interquartile range is given below.
Range = Maximum – Minimum
(A) For boxplot 1, we need to find the range and IQR from the given data set.
So, let 34 be the maximum and 24 be the minimum.
[tex]\text{Range}=\sf 34-24[/tex]
[tex]\text{Range}=\sf10[/tex]
Therefore, the range is 10.
Now time to find the IQR.
So, let 33 be Q3 and 27 be Q1.
[tex]\text{IQR}=\sf 33-27[/tex]
[tex]\text{IQR}=\sf 6[/tex]
Therefore, the IQR is 6.
(B) Now for boxplot 2, we will do the same thing as from part A.
Let's find the range.
So, let 24 be the maximum and 12 be the minimum.
[tex]\text{Range}=\sf 24-12[/tex]
[tex]\text{Range}=\sf12[/tex]
Hence, the range is 12.
Now for the IQR.
So, let 22 be Q3 and 15 be Q1.
[tex]\text{IQR}=\sf 22-15[/tex]
[tex]\text{IQR}=\sf 7[/tex]
Hence, the IQR is 7.
To know more about the range and IQR, visit:
https://brainly.com/question/31752116
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If √643= 4, find the value of√0.0643+ √0.000064
Answers
Answer:
= 0.261574446
Step-by-step explanation:
hope that will help you
ASAP JUST ANSWER THX
Answers
Answer:
b
Step-by-step explanation:
b
calculate the length of TQ
Answers
Answer:
x = 21°, y = 42°, TQ = 3.75 cm
Step-by-step explanation:
In Δ SRT
∵ m∠RST = 21°, m∠STR = 117°
∵ The sum of the measures of the interior angles of a triangle is 180°
∴ m∠RST + m∠STR + m∠SRT = 180°
∴ 21° + 117° + m∠SRT = 180°
→ Add the like angles
∴ 138° + m∠SRT = 180°
→ Subtract 138° from both sides
∴ m∠SRT = 42°
In the given circle
∵ ∠SRP and ∠SQP are inscribed angles subtended by the arc SP
→ Inscribed angles subtended by the same arc are equal in measures
∴ m∠SRP = m∠SQP ⇒ (1)
∵ m∠SRP = 42° , m∠SQP = y
∴ y = 42°
∵ ∠RSQ and ∠RPQ are inscribed angles subtended by the arc RQ
→ Inscribed angles subtended by the same arc are equal in measures
∴ m∠RSQ = m∠RPQ ⇒ (2)
∵ m∠RSQ = 21° , m∠RPQ = x
∴ x = 21°
∵ The chord SQ intersects the chord PR at the point T
∴ ∠STR and ∠PTR are vertically opposite angles
→ The vertically opposite angles are equal in measures
∴ m∠STR = m∠PTR ⇒ (3)
→ From (1), (2), and (3) the two triangles SRT and PQT are similar using
AAA postulate of similarity
∴ Δ SRT ≈ ΔPQT ⇒ AAA postulate
∴ Their sides are proportion
∴ [tex]\frac{SR}{PQ}=\frac{RT}{TQ}=\frac{ST}{PT}[/tex]
∵ SR = 8.32 cm, PQ = 9.43 cm, RT = 3.31 cm
→ Substitute them in the ratio above
∴ [tex]\frac{8.32}{9.43}=\frac{3.31}{TQ}[/tex]
→ By using cross multiplication
∴ TQ × 8.32 = 9.43 × 3.31
→ Divide both sides by 8.32 to find TQ
∴ TQ = [tex]\frac{(9.43)(3.31)}{8.32}[/tex]
∴ TQ = 3.751598558
→ Round it to 2 d.p
∴ TQ = 3.75 cm
How do you simplify -(-10)?
Answers
Answer:
10
Step-by-step explanation:
you would be multiplying that -10 by -1 which gives you 10 because negative times negative is positive
find the quotient of -7/5÷-9/5
Answers
Answer:
7/9
Step-by-step explanation:
-7/5÷-9/5
- cancelled with each other
(7×5)/(9×5)
5 also cancelled with 5
then your answer is 7/9
4621.60 x 9.92 with work
Answers
Answer:
need a answer
Step-by-step explanation:
I having trouble on number 7
Answers
The black graph is the graph of
y = f(x). Choose the equation for the
red graph.
a. y = f(x + 3)
b. y = f(x – 3)
c. y + 3 = f(x)
d. y - 3 = f(x)
(Picture)
Answers
Answer:
(B) y = f(x - 3) is the answer.
please thanks and follow me.
Answer:
BE careful check that this is the right question for you this one is b there is another that looks similar that is a
Step-by-step explanation:
Solve the following expression and show your work: 12-(x-2)+4x
Answers
Answer:
14+3x
Step-by-step explanation:
We cannot solve since there is no equals sign, but we can simplify
12-(x-2)+4x
Distribute
12 -x+2 +4x
Combine like terms
12 +2 +4x-x
14+3x
Which graph has the same end behavior as the graph of f(x) = –3x3 – x2 + 1?
Answers
Answer:
The answer is D
Step-by-step explanation:
my brain is very large
The area of a rectangle is found by multiplying the length and the width. The length is represented by x+8 and the width is represented by X+6. The total area is 288 in2. Solve for x in order to find the length and width of the rectangle. State the length and width of the rectangle. Show all of your work and use complete sentences in your answer.
Answers
Answer:
(-24 + 8) and (10 + 6)
Step-by-step explanation:
A = L x W
L = x + 8
W = x + 6
A = (x + 8)(x + 6)
288 = (x + 8)(x + 6)
x = 10
x = -24, 10
Solve for the variable. Show each step in the solution process.
Answers
Answer:
z = 1/2
Step-by-step explanation:
Step 1: Write equation
22z + 6 - 10 = 6z + 4
Step 2: Solve for z
Combine like terms: 22z - 4 = 6z + 4Subtract 6z on both sides: 16z - 4 = 4Add 4 to both sides: 16z = 8Divide both sides by 16: z = 8/16Simplify: z = 1/2Step 3: Check
Plug in z to verify it's a solution.
22(1/2) + 6 - 10 = 6(1/2) + 4
11 - 4 = 3 + 4
7 = 7
Find the intersection point for the following linear functions.
f(x) = 2x + 3
g(x) = -4x − 27
A.
(-5,-7)
B.
(-5,-10)
C.
(5,13)
D.
(5,-7)
Answers
Answer:
c
Step-by-step explanation:
did the test its correct
