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Worksheets

Measures of Center and Variability

Total questions: 54

Worksheet time: 4hrs 56mins

Name
Class
Date
1.

If Mr. TideRman waS an animal, what animal wOuld He bE?

a)

horse

b)

giraffe

c)

hedgehog

d)

king mackeral

2.
What is the mean?
a)

The value that occurs the most often in a data set

b)

The middle number in an ordered set of data

c)

The sum of all the numbers in a data set divided by the size

d)

The sum of the between the greatest and the least elements, divided by two

3.
The number of pages that Carolyn wrote in her journal each day from Monday to Friday is shown below: 
9, 8, 12, 6, 10
What is the mean number of pages she wrote per day?
a)

5

b)

6

c)

9

d)

11

4.

Find the Median in the Data Set:

7, 8, 3, 4, 8

a)

7

b)

8

c)

4

d)

3

5.
The number of miles that Jenna cycled each week for a 7-week period is shown: 
36, 42, 28, 52, 48, 36, 31 
What is the median number of miles Jenna cycled?
a)
24
b)
36
c)
39
d)
52
6.
A data set can have more than one mode
a)

True

b)

False

7.
The mode score on the 6th grade math test was 94! Which of these interpretations must be correct?
a)
94 was the highest score on the test.
b)
More students received a 94 than any other score
c)
No student scored below a 94
d)
A score of 91 was slightly below average.
8.

Find the Mode in the Data Set:

7, 8, 3, 4, 8

(a)  

9.
Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is Roger's median score?
a)

127

b)

155

c)

156

d)

193

10.

What measure represents the value in the center?

a)

Mode

b)

Median

c)

Mean

11.

If Mr. Gazda was in ThY hungeR gameS, what wEaPon wOuld he choose?

a)

1 grenade, 2 grenades, 3 grenades, 4

b)

bow with 5 arrows

c)

attack osprey

d)

chainsaw

12.

What measure represent the average?

a)

Mode

b)

Median

c)

Mean

13.

What measure represents the value that repeats the most?

a)

Mode

b)

Median

c)

Mean

14.

At Donald's Doughnuts, the number of doughnut holes in a bag can vary. Help Donald find the mode of the number of doughnut holes per bag described in the sample below:

{12, 10, 10, 10, 13, 12, 11, 13, 10}

a)

13

b)

12

c)

11

d)

10

15.
The list below shows the number of words per minute students in Mrs. DeFelice's class typed last week:
42, 55 ,62, 39, 38, 70, 54, 56, 73.
Which would change the range from 35 to 38?
a)

A new student types 38 wpm

b)

The student that  typed 39 wpm moved

c)

A new student types 35 wpm

d)

The student that typed 73 wpm movedd

16.

What is the median for SUV's?

a)

20

b)

22

c)

18

d)

19

17.

What is the mode for SUV's?

a)

20

b)

22

c)

18

d)

19

18.

What shape is the dot plot for SUV's?

a)

skewed right

b)

skewed left

c)

symmetrical

d)

none of the above

19.

What is the mean of the data? (0's still count as numbers)

a)

2.1333...

b)

32

c)

15

d)

2.46

20.

What is the median of the data?

a)

2

b)

1

c)

3

d)

12

21.
Find the range.
12, 5, 9, 18, 22, 25, 5
a)

20

b)

15

c)

22

d)

18

22.

If Mrs. Stutts had different colored hair, what color would it be?

a)

dark red

b)

light red

c)

reddish red

d)

Strawberry blonde

23.
What do you do if there are two numbers in "the middle" when you are finding the median?
a)

Pick your favorite number

b)

Add the two numbers in the middle & then divide by two.

c)

They are both the median

d)

None of the above

24.

What does M.A.D stand for? (a)  

Choose from the below words
Mean Absolute Deviation
Mean as Dirt
Mean Average Deviation
Crazy
25.

What is another word for average? (a)  

Choose from the below words
Mean
Median
Mode
Range
26.
What is the first step when calculating the Mean Absolute Deviation?
a)

Find the distance each value is from the mean

b)

Find the mean of the distances

c)

Find the mean of the data

27.
What is the second step when calculating the Mean Absolute Deviation?
a)

Find the distance each value is from the mean

b)

Find the mean of the distances

c)

Find the mean of the data

28.
What is the third step when calculating the Mean Absolute Deviation?
a)

Find the distance each value is from the mean

b)

Find the mean of the distances

c)

Find the mean of the data

29.
What is the mean of this data set?
6, 7, 2, 1, 5, 2, 1, 6
30.

What is the mean absolute deviation of 13, 14, 17, 28, and 28?

31.

If Mr. Polk had another job what would it be?

a)

Treasure Hunter

b)

Cryptohacker

c)

Lucha Libre wrestler

d)

Gym Leader of Pallet Town

32.

Find the MAD:58, 38, 54, 48, 26, 36 (a)  

Choose from the below words
10
43
20
12
33.
Which of the following is true concerning the mean absolute deviation of a set of data? 
a)

It describes the variation of the data values around the median.

b)

It describes the absolute value of the mean. 

c)

It describes the average distance between each data value and the mean.

d)

It describes the variation of the data values around the mode.

34.

What is the median? (a)  

Choose from the below words
62
58
66
60
35.
What is the minimum value?
36.
What is the maximum value?
37.
What value is the lower quartile (Q1)?
38.
What data value is the upper quartile (Q3)?
39.

What is the median? (a)  

Choose from the below words
35
30
25
50
40.

What is the interquartile range (IQR)? (a)  

Choose from the below words
4
64
60
8
41.

Mrs. Delmonte ate dinner last night, what was it?

a)

Hamburgers and fries from Tavern on 12

b)

Whatever her husband made

c)

Grilled Chicken and asparagus

d)

Shrimp tacos with cilantro lime rice

42.

Which class has the higher test score median?  (a)  

Choose from the below words
Class #1
Class # 2 
The medians are equal
The median is not shown here. 
43.

Which restaurant has a higher median wait time? (a)  

Choose from the below words
Lucy's Steakhouse
Gary's Grill
They are the same
44.

True or FalseTo find the IQR (interquartile range) you have to add the Q3 + Q1. (a)  

Choose from the below words
False
True
45.
Find the interquartile range using the following data
4, 6, 4, 4, 7, 7, 7, 4, 5
46.
Which mean absolute deviation would have a greater variability or spread?  4.2 or 8.5?
47.

Find the median, first quartile, third quartile, and interquartile range of the data.

203, 183, 212, 181, 157, 204, 189, 190

a)

Median: 189

First Quartile: 182

Third Quartile: 203

IQR: 21

b)

Median: 189.5

First Quartile: 182

Third Quartile: 203

IQR: 21

c)

Median: 189

First Quartile: 182

Third Quartile: 203.5

IQR: 21.5

d)

Median: 189.5

First Quartile: 182

Third Quartile: 203.5

IQR: 21.5

48.

Find the median, first quartile, third quartile, and interquartile range of the data.

23, 33, 25, 16, 27, 43, 29, 40, 35

a)

Median: 29

First Quartile: 24

Third Quartile: 37.5

IQR: 13.5

b)

Median: 27

First Quartile: 25

Third Quartile: 35

IQR: 10

c)

Median: 29

First Quartile: 25

Third Quartile: 37.5

IQR: 12.5

d)

Median: 27

First Quartile: 24

Third Quartile: 35

IQR: 11

49.

The table shows the ages of automobiles in the parking lot. The range of the ages is 12 years. Find the missing age.

a)

12

b)

13

c)

14

d)

15

50.

The table shows the number of minutes sixth-graders spend reading each night. What percent of the students read less than 19 minutes?

a)

25%

b)

50%

c)

75%

d)

100%

51.

What is the interquartile range (IQR) for the dot plot below?

a)

20

b)

35

c)

15

d)

70

52.

Find the range of the data.

16, 28, 6, 19, 21, 15, 22, 33, 17

a)

18

b)

27

c)

30

d)

12

53.

Find the MAD:

58, 38, 54, 48, 26, 36

a)

43

b)

10

c)

20

d)

12

54.

Find the Mean Absolute Deviation: 10, 9, 3, 8, 10. The Mean is 8

a)

5

b)

2

c)

3

d)

1