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

f(x)=2|5x+7|−1, evaluate f(−4)

Answers

Answer:

Step-by-step explanation:

f(x) = 2 |5(-4)+7| -1

     = 2 |(-20)+7| -1

     = 2 | -13 | -1

     = 26 - 1

     = 25

A function assigns the value of each element of one set to the other specific element of another set. The value of the function f(-4) is 25.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The value of f(-4) can be evaluated by substituting the value of x as -4 in the given function, therefore, the value of f(-4) can be written as,

f(x) = 2|5x+7| − 1

f(-4) = 2|5(-4)+7| − 1

      = 2|-20 + 7| - 1

      = 2|-13| - 1

      = 2(13) - 1

      = 26 - 1

      = 25

Hence, the value of the function f(-4) is 25.

Learn more about Function here:

https://brainly.com/question/5245372

#SPJ2

The heart rates in beats per minute for runners who walk briskly on a treadmill for 6 minutes follow a Normal distribution with a mean of 104 and standard deviation of 12.5. What percent of the runners have heart rates above 140?

Answers

Answer:

0.2%

Step-by-step explanation:

We apply the z score formula.

This is given as:

Z score = x - μ/σ

x = Raw score = 140

μ = Population mean = 104

σ = Standard deviation = 12.5

z = 140 - 104/12.5

z = 2.88

Probability value from Z-Table:

P(x<140) = 0.99801

P(x>140) = 1 - P(x<140)

= 1 - 0.99801

= 0.0019884

Approximately = 0.0020

Converting to percent = 0.2%

Therefore, percent of the runners have heart rates above 140 is 0.2%

3+3+3
Please Help....

Answers

Answer:

9

Step-by-step explanation:

3+3+3= 9 or you could just do 3x3

If x = 34, y = 53, and the measure of AC = 4 units, what is the difference in length between segments AB and AD? Round your answer to the nearest hundredth.


0.74 units
1.17 units
1.64 units
2.14 units

Answers

Answer:

2.14 units

Step-by-step explanation:

TO FIND AB:

sin 34=AC/AB

AB=AC/sin34=4/sin34=7.15

TO FIND AD:

sin 53=AC/AD

AD=AC/sin53=4/sin53=5.00

difference in length:

AB-AD=7.15-5.00=2.14 units

Answer:

the answer is 2.14 units

Step-by-step explanation:

took the test and got it right

Brainliest pls

IDK WHY IT SAYS IM A COLLEGE PERSON IM NOT BUT UM I NEED HELP WITH THIS PLEASEEEEEE

Answers

Answer:

option 3

Step-by-step explanation:

Answer:

it's option 3 i think

Step-by-step explanation:

Pls help me slove this -2 1/3 - (-5) =

Answers

Answer:

4/3

Step-by-step explanation:

-2 1/3= -7/3

-5=-15/3

Answer:

If I'm reading this correctly, -2.33 or -2 1/3 - (-5) should equal to 2 2/3

Step-by-step explanation:

Since a minus sign is close to the minus sign inside the parantheses, you should turn the minus sign into a plus, giving you -2 1/3 + 5 which should equal to 2 2/3. Hope this helps

HELP!!! Which of the following best describes the slope of the line below?

Answers

Answer:

C. Negative

Step-by-step explanation:

A quick reminder: an undefined slope makes the line vertical, a slope of 0 makes the line horizontal, a positive slope makes the line go up as x increases, and a negative slope makes the line go down as x increases.

In this case, the line is going down as x increases, meaning the slope must be negative.

Your office window is a = 55 feet high. Looking out your window, you find that the top of a statue lines up exactly with the bottom of a building that is b = 700 horizontal feet from your office. You know that the statue is c = 225 feet from the building. How tall is the statue? (See the figure below. Round your answer to two decimal places.)

Answers

Answer:

nothing

Step-by-step explanation:

nothing will come because there is no figure

(y^3)^2 without exponents​

Answers

Answer:

y^6

Step-by-step explanation:

Answer:

[tex]y^{6}[/tex]

Step-by-step explanation:

Step 1:

( y³ )²       Equation

Step 2:

[tex]y^{3 * 2}[/tex]        Multiply

Answer:

[tex]y^{6}[/tex]

Hope This Helps :)

Please help me I have no idea what the answer is

Answers

Answer:

hi

Step-by-step explanation:

Are these ratios equivalent?
16 shipments every 6 years
8 shipments every 3 years
yes
no

Answers

Answer: Yes

Step-by-step explanation:

If you do 16/6 you get 2.667 and if you do 8/3 you also will get 2.667

what is 431x18 estameted? please help fast

Answers

Answer:

7758 :)

Step-by-step explanation:

Answer:

9000

Step-by-step explanation:

Can someone help me I really need it

Answers

Answer:

No, the figures are similar but not congruent as although width is same, length of fig A is 3 blocks while length of fig. B is 4 blocks. For two fig. to be congruent, their l and b should be eql.

Hope u find this ans useful.

Pls mark me brainliest

This is what I meant to ask lol

Answers

Answer:

false

Step-by-step explanation:

theyre not proportional because 100*2=200 but 35*2 is not 45 :)

Answer:

True

Step-by-step explanation:

The miles column is increasing steadily by 100The cost column is increasing steadily by 10Neither column is changing the amount that's being increased and neither is decreasing after an increase, therefore, the answer is true.

I hope this helps!

Create a word problem using the math sentence below. Make sure you write in complete sentences. -25 + (-35)

Answers

Step-by-step explanation:

john put 25 dollars in a jar and his wife put 35 dollars in the savings jar as well so save for there trip coming up

Answer:

Sally borrowed twenty-five dollars from Alex to buy a movie at the store. Later, she borrowed another thirty-five dollars to buy ride tickets at the state fair. How much money does she owe Alex?

Step by-step explanation:

When you have an even number of negative numbers in an equation, the answer will always be positive. When there's an odd number of negative numbers, the answer will be negative. For a problem like this, you can ignore the negative signs and focus on the numbers. 25+35 is 60, so Sally owes Alex 60 dollars.

                  Hope this helps!

2(x-5)=4x+7
solve for x

Answers

Answer:

x=-6

Step-by-step explanation:

I used 1/3 of a bottle of wax to wax 3/4 of a car. How many cars can I wax with one bottle? Please helppp

Answers

Answer:

2.25 cars are waxed with one bottle

Step-by-step explanation:

1/3 * 3 = 1

3/4 * 3 = 9/4

9/4 = 2.25

2 1/4

bc 3/4 divided by 1/3 equals 9/4 which turns into 2 and 1/4


Evaluate:

54 - 75 + 81 - (-27) + 53

Answers

Answer:

140

Step-by-step explanation:

Answer:

140.

Step-by-step explanation:

PEMDAS.

Since there isn't any problems that aren't adding, we can just do it step by step.

54 - 75.

-21.

Add 81.

60.

Subtract -27.

87.

Add 53.

140.

Brainiest?

answer for brainliest ! <3

Answers

Answer:

1: p=(2,4) q=(1,1) r=(5,2)

2 I am so sorry. the changing in the shape is not any transformation I've heard of before.

3:90 degree rotation (Counterclockwise.)

4: 180 degree rotation (doesn't matter which way.)

5: 90 degree rotation (clockwise)

6: Up 9 units, over 2 units to the right.

Hope this helps!!

Evaluate $\frac{33}{33\frac 13}$. Express your answer as a fraction in simplest form. (Thus the numerator and denominator should be integers whose greatest common divisor is $1$.)

Answers

Answer:

[tex]\dfrac{99}{100}[/tex]

Step-by-step explanation:

We need to evaluate [tex]\dfrac{33}{33\frac 13}[/tex]. Here, 33 is numerator and [tex]33\dfrac{1}{3}[/tex].

Firstly, we will solve the denominator.

[tex]33\dfrac{1}{3}=\dfrac{33\times 3+1}{3}\\\\=\dfrac{100}{3}[/tex]

The given expression becomes,

[tex]\dfrac{33}{33\frac 13}=\dfrac{33}{\dfrac{100}{3}}\\\\=\dfrac{33\times 3}{100}\\\\=\dfrac{99}{100}[/tex]

Hence, the required answer is 99/100.

A car rental company charges a daily rate of $ 23 plus $ 0.20 per mile for a certain car. Suppose that you rent that car for a day and your bill (before taxes) is $ 44.00. How many miles did you drive?

Answers

Answer:           105 miles

(44-23)/0.20

How do we use the question as the example

Answers

Answer:

what question

Step-by-step explanation:

3. A change machine contains nickels, dimes, and
quarters. There are 75 coins in the machine, and the
value of the coins is $7.25. There are 5 times as
many nickels as dimes. How many quarters are in
the machine?
Equation #1:
Equation #2:
Equation #3:
# of quarters:

Answers

Answer:

50 nickels 10 dimes 15 quarters

Step-by-step explanation:

im pretty sure

I NEED THIS NOW! PLZ HELP! 1ST GETS BRAINLIEST! PLZ USE THE 3-READ PROTOCOL
manny has 1/2 of a yard of a fabric with which he intends to make bookmarks. each bookmark is made from 1/8 yard of fabric. how many bookmarks can manny make?

Answers

Answer:

Manny can make 4 bookmarks

Step-by-step explanation:

1/2 ÷ 1/8 = ?

(flip the second fraction and multiply)

1/2 x 8/1 = 8/2 = 4

Consider the sequence of steps to solve the equation:
7x
5(x - 3) =
Step 1 = 10(x - 3) = 7x
Step 2 = 10x - 30 = 7x
Step 3 = 3x - 30 = 0
Step 4 = 3x = 30
Step 5 = x= 10
Identify the property of equality which yields Step 5.

A)
Division Property
B)
Addition Property
C)
Subtraction Property
D)
Multiplication Property

Answers

The answer is d I’m pretty sure
I think it is D for sure

describe the steps to determining and graphing a translation.

Answers

Answer:

A TRANSLATION OF A GRAPH is its rigid movement, vertically or horizontally. On the left is the graph of the absolute value function. On the right is its translation to a "new origin" at (3, 4). y = |x|.

Find the value of x.

Answers

Answer:

x=21

Step-by-step explanation:

180-126=54

54-12=42

42/2=21

x=21



What was Bear B's average speed in
m/min? No units required for answer.

Answers

Given:

Graph of positions of Bear A and Bear B.

To find:

The average speed of Bear B in m/min.

Solution:

From the graph it is clear that initial point of graph of Bear B is (0,100) and the end point is (60,2800).

The average speed of Bear B is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{2800-100}{60-0}[/tex]

[tex]m=\dfrac{2700}{60}[/tex]

[tex]m=45[/tex]

Therefore, the average speed of Bear B is 45 m/min.


Write a number that has a 3 that is 10
times the value of the 3 in 7.31
Your answer

Answers

Answer:

3

Step-by-step explanation:

7.31

3 in the tenths place

3 = 3/10 or 0.3

0.3*10=3

answer : 3
explain: 7.31
3 is in 10 place so
3= 3/10 or 0.3 ;)

What is the correct decimal point placement for the product of 3.54 × 15.42? 54.5868 545.868 5458.68 54586.8

Answers

9514 1404 393

Answer:

  54.5868

Step-by-step explanation:

The multiplicands each have 2 digits to the right of the decimal point, so the product will have 2+2 = 4 digits to the right of the decimal point. The correct placement is ...

  54.5868

__

Another way to tell is that the product is in the neighborhood of 3·15 = 45, which is nowhere near 545 or 5458 or any higher value.

Answer: 54.5868

Since 3 x 15 is already 45, now we have to multiply the decimals, but we must put a point.

.54 x .42 = 9.5868

45 + 9.5868 = 54.5868.

Hope this helps!

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