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Measures of Central Tendency

Total questions: 117

Worksheet time: 8hrs 42mins

Name
Class
Date
1.
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
2.
What is the mode?
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.
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
4.
What is the median?
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
5.
At Donald's Donuts the number of donut holes in a bag can vary. Help Donald find the mode of the number of donut 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
6.
A data set can have more than one _______
a)
Median
b)
Mode
c)
Mean
d)
Midrange
7.
The heights of six students in a class are given below:
158cm     172cm      164cm
164cm     167cm      159cm
 However, there were actually seven students in the class, and the mean height in the class was 165 cm. What was the height of the unknown student?
a)
164 cm
b)
166 cm
c)
171 cm
d)
169 cm
8.
On a container ship there were 30 small containers that each weighed 3 tons, 20 medium containers that each weighed 5 tons, and 10 large containers that each weighed 8 tons.
Find the mean weight of the containers on this ship.
a)
4.5 tons
b)
4 tons
c)
5 tons
d)
5.5 tons
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.
Paulo got these markers in three tests: 72, 80 and 82. He had one more test to sit. He wanted an average of 80 for the four tests. What mark must he get in the fourth test?
a)
78
b)
80
c)
84
d)
86
11.
The heights of some students are given.
158cm     172cm      164cm
164cm     167cm      159cm
 What is the range of the heights?
a)
13cm
b)
14cm
c)
164cm
d)
330cm
12.
The heights of the starting 5 players on a basketball team are 60 inches, 67 inches, 64 inches, and 65 inches.  If the mean or balance point of the players is 65, what is the height of the 5th player?
a)
70
b)
69
c)
61
d)
68
13.
In the last 5 games, Kevin Durant scored 22, 22, 18, 12, and 21 points. What is Durant's Mean (Average) score per game?
a)
 19 points per game
b)
95 points per game
c)
18.6 points per game
d)
22 points per game
14.
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
15.
Find the median, mode and range: 
3, 5, 7, 9, 11, 8, 3
a)
median:7  mode:3  range:10
b)
median:6  mode:3  range:7
c)
median:7  mode:3 range:8
16.
What is the Mode?
  22,7,22,1,7,18,18,16,6,6,7
a)
7
b)
18
c)
21
d)
6
17.
What is the Median?
8,13,2,4,48
a)
8
b)
48
c)
2
d)
9
18.
What is the Mean?
9, 5, 7
a)
8
b)
11
c)
7
d)
6
19.
What is the Mode?
4,8,5,17,5,4,9,5,6,82
a)
4
b)
9
c)
84
d)
5
20.
What is the Median?
34,98,12,45,61
a)
98
b)
12
c)
34
d)
45
21.
To find the average of a set of numbers, add up all the items and divide by...
a)
2
b)
The minimum
c)
The maximum
d)
The number of items
22.
Which is the MIDDLE?
a)
Mean
b)
Median
c)
Mode
d)
Range
23.
Which is the closest to what most people would call the "average?"
a)
mean
b)
median
c)
mode
d)
range
24.
Which is the number that appears the MOST often?
a)
mean
b)
median
c)
mode
d)
range
25.
If you have two numbers in the middle, you should
a)
add them together and divide by two
b)
find the number in between the two
c)
find the mean of the two numbers
d)
all of these
26.
A data set can have more than one mode
a)
True
b)
False
27.
In order to find the median, the data must be sorted from least to greatest first.
a)
True
b)
False
28.
Find the range.
12, 5, 9, 18, 22, 25, 5
a)
20
b)
15
c)
22
d)
18
29.
Find the range.
5, 15, 10, 20, 15, 10, 15
a)
5
b)
10
c)
15
d)
13
30.
What is an outlier?
a)
A value that is much less or much greater than the other values in a data set.
b)
The difference between the upper and lower quartiles of a data set.
c)
The mean of the distances from each data value in a set to the mean of a set.
d)
The difference between the greatest and least numbers in a data set.
31.
If you score 76, 85, 97, and 83 on your math tests, what would your median score be? 
a)
84
b)
90
c)
85
d)
88
32.
Find the mean of these numbers:
5, 11, 2, 12, 4, 2
a)
4.1
b)
6
c)
4.5
d)
4
33.
The salary of the employees in the office were $15,000; $18,000; $16,000; $14,000; $90,000; and $17,000.  What is the best measure of the central tendency of the salaries?
a)
Mean
b)
Median
c)
Mode
d)
Range
34.
The heights of the starting 5 players on a basketball team are 60 inches, 67 inches, 64 inches, and 65 inches.  If the mean or balance point of the players is 65, what is the height of the 5th player?
a)
70
b)
69
c)
61
d)
68
35.
A survey asked 6th graders their favorite lunch and got the following results:
Pizza: 150
Nachos: 75
Spaghetti: 25
a)
Mean
b)
Median
c)
Mode
d)
Range
36.
Harley surveyed his classmates about how many siblings they have and got the following data: 0, 1, 3, 5, 4, 2, 2, 9, 1, 2, 0, 1, 1, 1, 1, 3  Which  measure is best measure of center of the data?
a)
Mean
b)
Median
c)
Mode
d)
Range
37.
Brittany surveyed her classmates about whether or not they liked the book or the movie version of the Hunger Games better.
Book: 18
Movie: 8
a)
Mean
b)
Median
c)
Mode
d)
Range
38.
a)
spread
b)
mean
c)
outlier
d)
median
39.
Find the median of these numbers:
4, 2, 7, 4, 3
a)
2
b)
5
c)
7
d)
4
40.
In the last 5 games, Kevin Durant scored 22, 22, 18, 12, and 21 points. What is Durant's Mean (Average) score per game?
a)
 19 points per game
b)
95 points per game
c)
18.6 points per game
d)
22 points per game
41.

What is the range?

a)

The sum of the largest and smallest number

b)

The number in the middle

c)

The difference between the largest and smallest number

d)

The number that appears most often

42.

What is the median?

a)

The number in the middle when the numbers are in order from least to greatest.

b)

The difference between the largest and smallest number.

c)

The average

d)

The number that appears most often.

43.
What is the mode?
a)
The average
b)
The number that appears most often.
c)
The largest number - the smallest number
d)
The number in the middle.
44.
To find the average of a set of numbers, add up all the items and divide by...
a)
2.
b)
The smallest number
c)
The largest number
d)
The number of items in the set.
45.
A data set can have more than one mode
a)
True
b)
False
46.
When you are trying to find the MEDIAN of a set of data and 2 numbers are left in the middle after putting them in order from least to greatest, what do you do?
a)
List both of the numbers as the Median.
b)
Add the two numbers together and divide by 2.
c)
Pick the one that you want.
d)
Subtract the two numbers.
47.
Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Roger's scores?
a)
193
b)
127
c)
60
d)
66
48.
The mode score on the 6th grade math test was 94! Which of these interpretations must be correct?
a)
99 was the highest score on the test.
b)
More students received a 94 than any other score
c)
No student scored below a 50
d)
A score of 91 was slightly below average.
49.

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)

39

c)

36

d)

52

50.
In order to find the median, the data must be sorted from least to greatest first.
a)
True
b)
False
51.

Dr. Dre is a dentist. He needs to report on the average (Mean) number of cavities that his patients have.

1, 0, 1, 5, 0, 3, 4. What is the average number of cavities?

a)

14

b)

2

c)

7

d)

1

52.

The heights of some students are given.

158cm 172cm 164cm

164cm 167cm 159cm

What is the RANGE of the heights?

a)

13 cm

b)

330 cm

c)

164 cm

d)

14 cm

53.

What is the MEDIAN of this set of data?

10, 90, 80, 60, 50, 40, 70, 30, 20, 100

a)

50

b)

60

c)

55

d)

45

54.
6. Find the mean.
18, 2, 0, 0, 0
a)
4
b)
5
c)
10
d)
20
55.
The heights of some students are given.
158cm     172cm      164cm
164cm     167cm      159cm
 What is the range of the heights?
a)
13cm
b)
14cm
c)
164cm
d)
330cm
56.
Find the median.
7, 1, 1, 7, 1, 4, 1
a)
4
b)
7
c)
1
d)
5
57.
Find the mode.
7, 1, 1, 7, 1, 4, 1
a)
7
b)
3
c)
1
d)
4
58.
Find the range.
7, 1, 1, 7, 1, 4, 1
a)
6
b)
5
c)
7
d)
3
59.
Find the median.
5, 15, 10, 20, 15, 10, 15
a)
20
b)
15
c)
10
d)
5
60.
If you score 76, 85, 97, and 83 on your math tests, what would your median score be? 
a)
84
b)
90
c)
85
d)
88
61.
If you score 76, 85, 97, and 83 on your math tests, what would your median score be? 
a)
84
b)
90
c)
85
d)
88
62.
Find the mean of these numbers:
5, 11, 2, 12, 4, 2
a)
4.1
b)
6
c)
4.5
d)
4
63.
The salary of the employees in the office were $15,000; $18,000; $16,000; $14,000; $90,000; and $17,000.  What is the best measure of the central tendency of the salaries?
a)
Mean
b)
Median
c)
Mode
d)
Range
64.
The heights of the starting 5 players on a basketball team are 60 inches, 67 inches, 64 inches, and 65 inches.  If the mean or balance point of the players is 65, what is the height of the 5th player?
a)
70
b)
69
c)
61
d)
68
65.
Harley surveyed his classmates about how many siblings they have and got the following data: 0, 1, 3, 5, 4, 2, 2, 9, 1, 2, 0, 1, 1, 1, 1, 3  Which  measure is best measure of center of the data?
a)
Mean
b)
Median
c)
Mode
d)
Range
66.
a)
spread
b)
mean
c)
outlier
d)
median
67.
Find the median of these numbers:
4, 2, 7, 4, 3
a)
2
b)
5
c)
7
d)
4
68.
How many students scored more than 80%?
a)
10
b)
13
c)
7
d)
15
69.
What is the mode of the scores?
a)
24
b)
14
c)
34
d)
30
70.
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
71.
How many students have more than 1,000 songs on their MP3 player?
a)
5
b)
16
c)
10
d)
4
72.
Austin hit some home runs in a game.  He hit 9, 11, 12, and 8.  He wants his mean to be 10.  How many will he need in the next game?
a)
40
b)
50
c)
10
d)
3
73.
Ellana scores these number on her spelling test: 4, 6, 7.  She would like her mean to be 6.  What will she have to score next?
a)
17
b)
24
c)
7
d)
2
74.
What measure of central tendency (mean, median or mode) would be best for the following set of data?
0, 89, 92, 97, 99, 100
a)
Mode, because it is the one that shows up the most.
b)
Median, because there is an outlier.  The outlier could be incorrect and would influence the mean too much.
c)
Mean, because there is not an outlier.  You should always use the mean.
d)
There is not a best measure of central tendency for this data.
75.

Find the median: 12, 15, 13, 18, 23, 5?

a)

14

b)

16

c)

16.5

d)

18

76.

What is the mode in the following numbers? [3, 24, 3, 7, 30, 1, 3, 7, 3]

a)

3 and 7 both are modes

b)

1 and 7 both are modes

c)

3 only

d)

7 only

77.
Which measure of central tendency best represents this set of data:
3, 18, 2, 0, 1, 0, 2, 1
a)
Mean
b)
Median
c)
Mode
d)
Range
78.
Which measure of central tendency best represents this set of data:
3, 4, 5, 4, 5
a)
Mean
b)
Median
c)
Mode
d)
Range
79.
Which measure of central tendency best represents this set of data:
13, 13, 11, 13, 13, 12, 13
a)
Mean
b)
Median
c)
Mode
d)
Range
80.
Kayte took a sample of 50 pieces of data.  She added up all of the pieces of data and then divided by 50.  What measure of center is she working on?
a)
Mean
b)
Median
c)
Mode
d)
Range
81.
Your math grades are 90, 85, 58, 90, 80, 100, and 90.  Which grade is the outlier?
a)
90
b)
58
82.
What is the range of the set of data?
a)
70
b)
65
c)
80
d)
55
83.
Is the following question statistical or non statistical?
How many cars are in the parking lot?
a)
Statsitical
b)
Non Statistical
84.
Is the following question statistical or non statistical?
What pets does our class have?
a)
Statistical
b)
Non statistical
85.

Look at the dot plot. Notice there are groups of data around the numbers 0, 20, and 40. What do we call those groups of data?

a)

Outliers

b)

Clusters

c)

Gaps

86.

Look at the dot plot. Notice there are spaces between the groups of data. What do we call those spaces?

a)

Outliers

b)

Clusters

c)

Gaps

87.

Gary has taken an aptitude test 8 times and his scores are 96, 98, 98, 105, 36, 87, 95, and 93. Which measure of central tendency is most appropriate for his scores?

a)

Median

b)

Mode

c)

Mean

d)

Range

88.

Which measure of central tendency is most appropriate for a data that describes the heights of grade 5 students?

a)

Mode

b)

Outlier

c)

Mean

d)

Median

89.

The scores shown below were received by four science teams named A, B, C, and D in an examination. Each team reported an "average" of 90. Which of the following is true for the measure of central tendency that was used by the team?

A: 80, 85, 90, 95, 100

B: 93, 92, 90, 90, 91

C: 80, 86, 95, 92, 90

D: 85, 90, 90, 90, 90

a)

Team D used mean

b)

Team C used mode

c)

Team A used mean

d)

Team B used median

90.

A survey was conducted by a chocolate manufacturing company, about the likes and dislikes of the flavors they marketed. Which measure of central tendency will help them most to make their choice of the most liked flavor?

a)

Mean

b)

Range

c)

Mode

d)

Median

91.

Find the mode of the data set, Identify the outlier, and find the mode excluding outliers:

100, 100, 100, 20, 120, 90.

a)

110, 120, 100

b)

100,100, 100

c)

20, 100, 20

d)

100, 20, 100

92.

The temperature received till Friday was 34, 38, 36, 30 and 31. If the temperature on Saturday drops to 11oC, how does the inclusion of Saturday's temperature affect the weekly mean temperature?

a)

increase

b)

decreases

c)

does not change

d)

can not be determined

93.

By how much will the mean vary if the outlier is included?

79, 69, 81, 73, 38, 86, 68

a)

70.6

b)

5.9

c)

76

d)

5.4

94.

The temperature received till Friday was 34, 38, 36, 30 and 31. If the temperature on Saturday drops to 11oC, how does the inclusion of Saturday's temperature affect the weekly mean temperature?

a)

increase

b)

decreases

c)

does not change

d)

can not be determined

95.

What effect will the outlier have on the median of the data if the outlier is excluded?

4, 6, 3, 4, 3, 6, 24

a)

insufficient information to conclude

b)

increases

c)

decrease

d)

does not change

96.

What effect will the outlier have on the median of the data if the outlier is excluded? 2, 4, 1, 2, 8, 4, 22

a)

does not change

b)

insufficient information to conclude

c)

decreases

d)

increases

97.

What effect will the outlier have on the median of the data if the outlier is excluded?

4, 6, 3, 4, 3, 6, 24

a)

insufficient information to conclude

b)

increases

c)

decrease

d)

does not change

98.

What effect will the outlier have on the median of the data if the outlier is excluded?

64, 56, 59, 125, 58, 64, 65

a)

increases

b)

can not be determined

c)

does not change

d)

decreases

99.

What effect will the outlier have on the median of the data if the outlier is excluded?

66, 58, 61, 127, 60, 66, 67

a)

increases

b)

decreases

c)

can not be deterimed

d)

does not change

100.

By how much will the mean vary if the outlier is included?

88, 78, 90, 82, 46, 95, 77

a)

5.6

b)

6.1

c)

85

d)

79.4

101.

By how much will the mean vary if the outlier is included?

75, 65, 77, 69, 34, 82, 64

a)

5.4

b)

72

c)

66.6

d)

5.9

102.

By how much will the mean weights vary if the outlier is included?

84, 74, 86, 78, 40, 91, 73

a)

6.4

b)

75.1

c)

5.9

d)

81

103.

What effect will the outlier have on the median of the data if the outlier is excluded?

2, 2, 2, 2, 8, 2, 24

a)

insufficient information to conclude

b)

decreases

c)

does not change

d)

increases

e)

first increase and then decreases

104.

The price of a cheese pizza in five different pizza delivery shops are 5, 5, 4, 6, 6, 8, and $7. Find the mean price of a cheese pizza.

a)

$7

b)

$4

c)

$5

d)

$6

105.

Positive Skewness is where the graph

a)

has a tail that extends out to the right

b)

has a tail that extends out to the left

c)

is bell shaped

d)

is a frequency polygon

106.

The stem-and-leaf plot shows the age of all the U.S. Olympic Soccer Team players. Find the median age of the players.

a)

26.5

b)

26

c)

25

d)

25.5

107.

he number of roses grown in each garden in a particular month is represented in a pictograph. What is the mean number of roses grown in that month?

a)

70

b)

7

c)

20

d)

280

108.

The ____________ is the measure of central tendency that represents the middle number in a set of data.

a)

Mode

b)

Average

c)

Principal

d)

Median

109.

In order to find the ____________, we add up all of the numbers in the data set and then divide the sum by the number of numbers.

a)

Average

b)

Mode

c)

Upper Quartile

d)

Median

110.

The number that appears the most in a data set is commonly known as the ___________.

a)

Mean

b)

Range

c)

Mode

d)

Average

111.

The median of the top 50% of the number values in the data set is known as the _________________.

a)

Upper Extreme

b)

Principal

c)

Upper Quartile

d)

Range

112.

The ______________ can be found by subtracting the lower extreme from the upper extreme.

a)

Range

b)

Median

c)

Mean

d)

Rate

113.

How do we find the median when there are exactly TWO numbers in the middle of the data set?

a)

We add up all of the numbers and divide by the number of numbers.

b)

Subtract the lower extreme from the upper extreme.

c)

Add the two numbers together and divide the sum by 2.

d)

Use the formula I = P x r x t

114.

The following numbers were the result of data collected when students were asked how many pets they had in there home:

0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 6


What is the range of the data?

a)

1.9

b)

6

c)

5

d)

2

115.

The following data set represents the responses from students when they were asked how many siblings they had:

1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 7

What is the average number of siblings for this set of students?

a)

About 2.6

b)

6

c)

About 18

d)

About 2.4

116.

An OUTLIER in a set of data is a number that is far away from the rest of the numbers.

Identify the OUTLIER in this data set.


5, 8, 10, 11, 15, 53

a)

5

b)

53

c)

0

d)

15

117.

Measures of Central Tendency help us to relate numbers in a set of data to each other. For example, if the average student’s grade in your math class is an 81, we know that someone who has a grade of 97 is performing well ABOVE the average in that class.

Amongst the following choices, which grade would represent a student performance that is considered well BELOW average?

a)

80

b)

75

c)

77

d)

62

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