What is the interquartile range of the following data set?
45, 12, 48, 96, 61, 84, 29, 1,72,5,14
a.45
b.33
c.27
d.60
(apex)

Answers

Answer 1

Answer:

The interquartile range is 60 ⇒ D

Step-by-step explanation:

The interquartile range is the difference between the upper quartile and the lower quartile

Let us explain how to find the interquartile range

Arrange the number from smallest to greatestFind its median Q1 (the middle number in the set of numbers)Find the lower quartile Q1 which is the median of the set of the numbers before the median Find the upper quartile Q3  which is the median of the set of the numbers after the median Subtract Q1 from Q3 the answer is the interquartile range

Let us do these steps to find it

∵ The data set is {45, 12, 48, 96, 61, 84, 29, 1, 72, 5, 14}

→ Arrange them

∴ The data set is {1, 5, 12, 14, 29, 45, 48, 61, 72, 84, 96}

∵ They are 11 numbers

∴ The middle number is the 6th number (5 before it and 5 after it)

∵ The 6th number is 45

The median is 45

→ Find the lower set (before the median)

∴ The lower set is {1, 5, 12, 14, 29}

→ Find the lower quartile Q1

∵ The lower quartile is the middle number in this set

∵ There are 5 numbers

∴ The middle one is the 3rd

∵ The 3rd is 12

Q1 = 12

→ Find the upper set (after the median)

∴ The upper set is {48, 61, 72, 84, 96}

→ Find the upper quartile Q3

∵ The upper quartile is the middle number in this set

∵ There are 5 numbers

∴ The middle one is the 3rd

∵ The 3rd is 72

Q3 = 72

→ Subtract them to find the interquartile range

∵ The interquartile range = Q3 - Q1

∴ The interquartile range = 72 - 12

The interquartile range = 60


Related Questions

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policyholders will file an $8,000 claim, an average of 1 in 100 policyholders will file
a $20,000 claim, and an average of 1 in 250 policyholders will file a $50,000 claim. Find
the expected value to the company per policy sold.

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Answer: i needed this question too!

What is the solution to the equation 1/4x+2=-5/8x-5

Answers

multiply everything by 8

2x+16 = -5x-40

-16 on both sides

2x = -5x-56

+5x on both sides

7x = -56

x=-8

so the first option

Answer:  x = -8

its just is lol

Express as a trinomial.
(x + 1)(3x − 2)
PLEASE HELP :)

Answers

Answer:

3x^2+x-2

Step-by-step explanation:

pls help asap for brainiest answer!

Answers

Answer:

Quest 1. is C, i.e 8. besides thier base are equal.

Quest 2. is D

Wuest 3. is C

The result of which expression will best estimate the actual product of (Negative four-fifths) (three-fifths) (Negative StartFraction 6 over 7 EndFraction) (five-sixths)?
(Negative 1) (one-fourth) (Negative 1) (negative 1)
(Negative 1) (one-half) (Negative 1) (1)
(Negative StartFraction 4 over 2 EndFraction) (Three-halves) (Negative two-fifths) (Five-halves)
(Negative three-fourths) (Negative three-fourths) (Negative one-fifth) (One-half)

Answers

Answer:

The Answer Is B

Step-by-step explanation:

-4/5 = -1  (Rounded)

3/5 = 1/2  (Rounded)

-6/7 = -1  (Rounded)

5/6 = 1  (Rounded)

If your looking for the whole thing it would be:

(-1)[1/2](-1)(1) = x

 Your Welcome! <3

The result of which expression B will best estimate the actual product of  (-4/5) × (3/5) × (-6/7) × (5/6).

What are arithmetic operations?

The study of numbers and their operations, which are relevant to all other fields of mathematics, is part of the discipline of arithmetic operations. Addition, subtraction, multiplication, and division are the basic operations that make up this system.

It is given that the expression is, a product of Negative four-fifths) (three-fifths) (Negative StartFraction 6 over 7 EndFraction) (five-sixths),

= (-4/5) × (3/5) × (-6/7) × (5/6)

The final result of the given expression is,

=  360/1050

=0.34

The product of the given values in the expression B is obtained as the equivalent expression to the given values.

Thus, the result of which expression B will best estimate the actual product of  (-4/5) × (3/5) × (-6/7) × (5/6).

Learn more about the arithmetic operations here,

https://brainly.com/question/25834626

#SPJ6

A primatologist believes that rhesus monkeys possess curiosity. She reasons that, if this is true, then they should prefer novel stimulation to repetitive stimulation. An experiment is conducted in which 12 rhesus monkeys are randomly selected from the university colony and taught to press two bars. Pressing bar 1 always produces the same sound, whereas bar 2 produces a novel sound each time it is pressed. After learning to press the bars, the monkeys are tested for 15 minutes, during which they have free access to both bars. The number of presses on each bar during the 15 minutes is recorded. The resulting data are as follows:What is the alternative hypothesis? In this case, assume a nondirectional hypothesis is appropriate because there is insufficient empirical basis to warrant a directional hypothesis. What is the null hypothesis? Using ? = 0.052 tail, what is your conclusion? What error might you be making by your conclusion in part c?
Subject Bar 1 Bar 2
1 20 40
2 18 25
3 24 38
4 14 27
5 5 31
6 26 21
7 15 32
8 29 38
9 15 25
10 9 18

Answers

Answer:

It is statistically significant that mean of difference scores is different from 0

Step-by-step explanation:

Subject    Bar 1      Bar 2      Difference

1                 20          40            20

2                 18          25             7

3                 24          38            14

4                 14           27            13

5                 5            31             29

6                 26          21             -5

7                 15           32            17

8                 29          38            9

9                 15           25           10

10                9             18           9

Mean of difference =[tex]\frac{Sum}{10}=\frac{123}{10}=12.3[/tex]

Standard deviation s =[tex]\sqrt{\frac{(x_i-\bar{x})^2}{n}}=8.93[/tex]

Null Hypothesis : mean of difference scores is 0 : [tex]H_0:\mu=0[/tex]

Alternate Hypothesis : mean of difference scores is different from 0 : [tex]H_a:\mu \neq 0[/tex]

We will use t test for unpaired

[tex]t = \frac{x-\mu}{\sqrt{\frac{s^2}{n-1}}}\\t = \frac{12.3-0}{\sqrt{\frac{8.93^2}{10-1}}}\\t=4.13[/tex]

Level of significance (two tailed) =[tex]\alpha = 0.05[/tex]

Degree of freedom = n-1 = 10-1 =9

Using calculator

The p-value is .002559.

p value < α

So ,we reject null hypothesis

So, It is statistically significant that mean of difference scores is different from 0

3 plus 2 =
wzsxdcfgvbhjnkrdfvgbh

Answers

Answer:

5

Step-by-step explanation:

three plus two equals 5

Answer:

5

Step-by-step explanation:

3+2=5

:3

A birthday celebration meal is $47.40 including tax, but not the tip. Find the total cost if a 15% tip is added to the cost of the meal.
th
The total cost is $

Answers

Answer:

$54.51

Step-by-step explanation:

How do you calculate the percentage of a number? ex. 70% of 70

Answers

Answer:

Find P percent of X

Find what percent of X is Y

Find X if P percent of it is Y

Step-by-step explanation:

Example: What is 10% of 150?

Convert the problem to an equation using the percentage formula: P% * X = Y

P is 10%, X is 150, so the equation is 10% * 150 = Y

Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10

Substitute 0.10 for 10% in the equation: 10% * 150 = Y becomes 0.10 * 150 = Y

Do the math: 0.10 * 150 = 15

Y = 15

So 10% of 150 is 15

Double check your answer with the original question: What is 10% of 150? Multiply 0.10 * 150 = 15

2

How do you divide 34.2 / 7.6 and show your work

Answers

Answer:

9/2

Step-by-step explanation:

first you convert the decimal number into a fraction

34.2/7.6= 171/5 over 7.6

then it becomes 171/5 over 38/5

then you reduce the fraction with five(so you cross out the 5's)

now youre left with 171/38

then you reduce the fraction with 19

now you have 9/2

9/2 is your answer

If the CPI changes from 121 to 124 between December 2018 and December 2019, the:
deflation rate for 2019 is 2.4%
inflation rate for 2019 is 4.2%.
inflation rate for 2019 is 2.5%.
deflation rate for 2019 is 3%.

Answers

Answer:

Inflation rate for 2019 is 2.5%

Step-by-step explanation:

(124/121) - 1 = 1.02479 - 1 = .02479

Change 0.02479 to percent by multiplying 100 = 2.479%

Round this up to 2.5%

Since the value is increasing from 121 in 2018 to 124 in 2019, this is an inflation.

Answer:

jus 2 ez pz broski lemon squeze

Step-by-step explanation:

Write a real-world scenario that would fit the given ratio: 4:7

Answers

Answer:

4/7

Step-by-step explanation:

Answer:

You go to a pumpkin patch and for every 4 pumpkins your mom sees,you see 7

Step-by-step explanation:

I don’t understand it .

Answers

Answer:

A?

Step-by-step explanation:

If the total income generated from gasoline for AER was 408 million how much would the cost forna barrel of gasoline

Answers

Answer:

kkkkk

Step-by-step explanation:

kkkkkk kkkkkk kkkWhy were the Punic War so important for the development of the Roman Empire?

Answer:

20

Step-by-step explanation:

If you have 60,000,000 barrels of crude oil and 34% of the barrels are gasoline then you have to set up the problem like this because you have to find out how much 34% of 60,000,000 is first in order to solve the problem.

is/of x 100/%

60,000,000 / a   X    100 / 34

so..60,000,000 x 34 = 2,040,000,000

then divide that amount by 100= 2,040,000,000 / 100 = 20, 400,000

so the 34% actually is the total 20,400,000. Now, you divide the dollar amount 408,000,000 million barrels by the total amount of gasoline which is 20,400,000.

408,000,000 / 20,400,000 = 20

So each barrel of gasoline cost $20.

2x•(-3x)+5•(2x²)-x•x=

??

Answers

Answer:

Step-by-step explanation:

Thank all of you !!!

Answers

Answer:

[tex]this \: proberbility \: is \: \frac{2}{12} = \frac{1}{6} [/tex]

Answer:

1/6

Step-by-step explanation:

First there is 12 muffins, minus 7 and 3 equals 2 cranberry ones, and 2/12 = 1/6.

show the steps you take and the final answer you get when you evaluate the expression.​

Answers

Answer:

28

Step-by-step explanation:

(4+5x)-x^2

(4+5(3))-3^2

(4+15)+9

19+9

28

A group of students are given three problems to solve
(Problem A, B and C.)
13 students solve problem A, 17 solve problem B
and 7 solve problem C.
9 solve problems A and B.
6 solve problems B and C.
5 solve problems A and C.
4 solve all three problems.
2 solve none of the three problems.
How many students are there altogether.​

Answers

Answer:

63

Step-by-step explanation:

Answer:

Maybe 55

Step-by-step explanation:

If the snow is falling at a rate of 1 2/3 inches per hour, how many hours will it take to snow 12 inches?

Answers

Answer:

It'll take 7.2 hours

Step-by-step explanation:

(5/3)in       12in

---------  x  --------

 1 hr          x hr

Cross multiply and you get

(5/3)x = 12

Then you divide 12 by (5/3) and you get that x = 7.2 hrs

Answer:

7.2 hours

Step-by-step explanation:

1 2/3 inches per hour = 5/3 inches per hour

12 inches = 36/3 inches

(36/3) / (5/3)

(36/3) x (3/5)

108/15

7.2 hours

For his birthday, Zack and three of his friends went to a movie. They each got a ticket for $8.00 and the same snack from the concession stand. If Zack’s mom paid $48 for the group’s tickets and snacks, how much did each snack cost? The equation 4( s +8) = 48 represents the situation when s represents the cost, in dollars, of one snack.

Answers

Answer:

Which number is IRRATIONAL? A) √12 B) √36 C) √64 D) √144

Step-by-step explanation:

) Samantha has 6/7 of a apple pie. Drayden has 3/7 of a apple pie. How much pie do they have altogether? (Make sure to simply if possible) *
10 points
1 and 2/7
9/14
3/7
9/10

2) After her birthday party, Kelsey has 8/9 of pizza left over. Her best friend Savanna ate 1/9 of the leftover pizza. How much of Kelsey's pizza is left? *
10 points
10/9
7/9
None
1/3


3) Simplify the following fraction: 9/12 *
10 points
4/6
9/12 - You can't simplify
1/2
3/4

Answers

Answer: 1 2/7, 7/9,3/4

Step-by-step explanation: 9/7 you had to make a whole then make the fraction 2/7. 7/9 you literally just had to subtract 8-1 to gt 7 and because the denominator didn't need to change it so that makes it 7/9. And the last one 9/12 well 3 can go into 9 and 12 evenly. For 9 it goes in 3 times and for 12 it goes in 3 to any you get 3/4.

What is 465,211 rounded to the nearest hundred thousand?

Answers

Answer:465000

Step-by-step explanation:

Joe buys lunch at a local cafe for 8.60 if she leaves a 15% tip how much does she spend at the cafe

Answers

Answer:

dhvbhdvhdhddjbd

Step-by-step explanation:

Piano lessons with ms bennett cost $30 for 3/4 of an hour what is ms bennetts hourly rate?

Answers

Answer:

im not sure but I think its 40

Step-by-step explanation:

bc 3/4 is $30 so 4/4 is an hour then she each would be $10 so 1/4 is 10 then 2/4 is 20 then 3/4 is 30 then 4/4 is 40

Answer:

$40 per hour

Step-by-step explanation:

3/4 of 1 hour = 3/4 of 60 min = 45Set up a proportion: [tex]\frac{30}{45} = \frac{x}{60}[/tex] Cross multiply, then divide: 30 × 60 = 1800, 1800 ÷ 45 = 40So, Ms. Bennett's hourly rate is $40 per hour

I hope this helps!

a cell phone company charged 49.95 per month plus 0.05 per call minute i used 200 call minutes last month proportional or not proportional

Answers

Answer:

Not sure what you are asking here but the answer is $59.95

Step-by-step explanation:

$49.95 + (10 * 0.05)

As part of a science experiment, Sam recorded the four values shown in the table, but one of them got smudged on his paper. He remembers that the sum of the trials was −1. What was the value that was smudged?

Trials

−9

12

(smudged)

−8


A) 2


B) −2


C) −4


D) 4


PLEASE HELP IM GONNA FAIL!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :(

Answers

Answer:

D) 4

Step-by-step explanation:

−9 + 12 + (unknown) + −8 = −1

Start by going through and testing each option

−9 + 12 + 2 + −8 =

3 + 2 + −8 =

5 + −8 =

−3

−3 ≠ −1

A) 2 is not possible.

−9 + 12 + −2 + −8 =

3 + −2 + −8 =

1 + −8 =

−7

−7 ≠ −1

B) 2 is not possible.

−9 + 12 + −4 + −8 =

3 + −4 + −8 =

−1 + −8 =

−9

−9 ≠ −1

C) −4 is not possible.

From this, D is looking like the answer. But to be sure, test it.

−9 + 12 + 4 + −8 =

3 + 4 + −8 =

7 + −8 =

−1

−1 = −1

D) 4 is the answer.

simplify 4^3 . 4^6
please and thank youuu

Answers

Answer:

262144

Step-by-step explanation:

What is the slope of the linr passing through thr points (0, 4) and (-8, -1)

Answers

Answer:

H4 sch nxmbd. Xhdnfcjnnccggj jjiihvfh

(3.1 · 10² ) (2 · 10³) Write in Scientific Notation.

Answers

Covert into scientific notation?

Answer:6.03*10^3

Step-by-step explanation:

(3.1 *10^2)(2*10^3)

2*10^3=20*10^2

(3.1*10^2)(20*10^2)

(60.3*10^2)=

6.03*10^3

Help please............................

Answers

Step-by-step explanation:

csc x / (cot x + tan x)

Write in terms of sine and cosine.

(1 / sin x) / [(cos x / sin x) + (sin x / cos x)]

Multiply top and bottom by sin x.

1 / [cos x + (sin²x / cos x)]

Multiply top and bottom by cos x.

cos x / (cos²x + sin²x)

Use Pythagorean identity.

cos x / 1

cos x

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