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WorksheetsMeasures of Central Tendency
Total questions: 37
Worksheet time: 1hrs 23mins
Name
Class
Date
1.
At Donald's Donuts the number of donut holes in a bag can vary. Help Donald find the mode.
12,10,10,10,13,12,11,13,10
12,10,10,10,13,12,11,13,10
a)
13
b)
12
c)
11
d)
10
2.
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
3.
Find the mode of these numbers:
4,4,6,6,2,2,6,2,4,2
4,4,6,6,2,2,6,2,4,2
a)
2
b)
4
c)
6
d)
2.4
4.
Find the median of these numbers:
4,2,7,4,3
4,2,7,4,3
a)
2
b)
5
c)
7
d)
4
5.
Dr. Dre is a dentist. He needs to report on the average number of cavities that his patients have.
1,0,1,5,6,3,4
1,0,1,5,6,3,4
a)
3.33
b)
2.85
c)
3
d)
3.5
6.
Find the median, mode and range:
3, 5, 7, 9, 11, 8, 3
3, 5, 7, 9, 11, 8, 3
a)
mean : 6.9 median: 11 mode:3 range:6
b)
mean: 7.2 median: 6 mode:3 range:2
c)
mean: 6.5 median: 7 mode:3 range:8
7.
Find the mean of these numbers:
2, 57, 38, 42, 6
2, 57, 38, 42, 6
a)
29
b)
38
c)
50
d)
145
8.
In order to find the median, the data must be sorted from least to greatest first.
a)
True
b)
False
9.
A data set can have more than one mode
a)
True
b)
False
10.
To find the _________ you add up all the numbers and then divide by how many numbers you have.
a)
Mean
b)
Median
c)
Mode
d)
Range
11.
To find the ______ you put all numbers in order from least to greatest and then take the largest number minus the smallest number.
a)
Mean
b)
Median
c)
Mode
d)
Range
12.
To find the ______ you put all the numbers in order from least to greatest and then see which number you have the most of.
a)
Mean
b)
Median
c)
Mode
d)
Range
13.
To find the ________ you put all numbers in order from least to greatest and find the number that is in the middle.
a)
Mean
b)
Median
c)
Mode
d)
Range
14.
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?
9, 8, 12, 6, 10
What is the mean number of pages she wrote per day?
a)
5
b)
6
c)
9
d)
11
15.
Find the mean of the countries' research and development spending.
a)
21.86 billion
b)
218.6 billion
c)
3.5 billion
d)
79.1 billion
16.
The test scores of five randomly selected students in Mr. Robertson's first and third period classes are shown in the chart.
Which statement about the means of the data sets is true?
a)
The mean score in the Period 1 group is 1 point greater that the mean score in the Period 3 group.
b)
The mean score in the Period 3 group is 1 point greater that the mean score in the Period 1 group.
c)
The mean score in the Period 3 group is 6 points greater that the mean score in the Period 1 group.
d)
The mean score in the Period 1 group is equal to the mean score in the Period 3 group.
17.
Another name for the "mean"
a)
Middle number
b)
Average
c)
Number that repeats the most
d)
Rude
18.
What is the mode of the data set:
Black Blue Red
Pink Black Black
Gray Green Blue
Blue Blue Red
Yellow Blue Red
Black Blue Red
Pink Black Black
Gray Green Blue
Blue Blue Red
Yellow Blue Red
a)
Blue and Black
b)
Blue
c)
Red
d)
Black
19.
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?
36, 42, 28, 52, 48, 36, 31
What is the median number of miles Jenna cycled?
a)
24
b)
36
c)
39
d)
52
20.
The scores awarded to 25 students for an assignment were as follows:
4 7 5 9 8 6 7 7 8 5 6 9 8 5 8 7 4 7 3 6 8 9 7 6 9
What is the mode?
4 7 5 9 8 6 7 7 8 5 6 9 8 5 8 7 4 7 3 6 8 9 7 6 9
What is the mode?
a)
6
b)
7
c)
8
d)
9
21.
Find the outlier in the set of data:
4, 11.6, 50, 23, 20.1, 19, 29, 12.7, 8, 23, 57.5
4, 11.6, 50, 23, 20.1, 19, 29, 12.7, 8, 23, 57.5
a)
57.5
b)
50, 57.5
c)
4, 50, 57.5
22.
What is the outlier in the following data?
11, 19, 17, 8, 37, 11, 19, 16, 22
a)
37
b)
8
c)
11
d)
22
23.
The data set below has an outlier of 42.
2, 5, 12, 15, 19, 4, 6, 11, 16, 18, 12, 12, 42
What effect does removing the outlier have on the distribution of the data?
2, 5, 12, 15, 19, 4, 6, 11, 16, 18, 12, 12, 42
What effect does removing the outlier have on the distribution of the data?
a)
The mean will decrease
b)
The median will decrease
c)
The mean will increase
d)
The median will increase
24.
Given the following data set
6, 9, 12, 14, 7, 9, 6, 8, 25, 12, 14
What is the mean of the data set without the outlier(s)?
6, 9, 12, 14, 7, 9, 6, 8, 25, 12, 14
What is the mean of the data set without the outlier(s)?
a)
9.2
b)
9.7
c)
11.1
d)
12.4
25.
The data below represent the ages of several people in a class.What effect does Mr. Smith’s age have on the data set?
a)
Mr. Smith’s age increases the mode of the data.
b)
Mr. Smith’s age decreases the mean of the data.
c)
Mr. Smith’s age increases the mean of the data.
d)
Mr. Smith’s age increases the median of the data.
26.
The table below shows the lengths of fences a company installed during a week.
Which statement is true?
Which statement is true?
a)
The 275-foot fence caused the mean to be significantly lower than the median.
b)
The 275-foot fence caused the median to be significantly lower than the mean.
c)
The 2,250-foot fence caused the mean to be significantly greater than the median.
d)
The 2,250-foot fence caused the median to be significantly greater than the mean.
27.
Find the Mean.
a)
53.5
b)
48
c)
49
d)
48.6
28.
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
29.
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
30.
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
31.
Which is the MIDDLE?
a)
Mean
b)
Median
c)
Mode
d)
Range
32.
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
33.
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.
34.
what is the most appropriate measure of central tendency for the results of a mathematics test?
a)
mode
b)
median
c)
mean
35.
when does mean become inadequate?
a)
when there are extreme scores
b)
when using ordinal data scale
c)
when using nominal data scale
d)
all of the above
36.
what is the advantage of the median compared to mean
a)
it is easy to calculate
b)
it takes little time to find the answer
c)
it is not affected by extreme scores
d)
it can be used for nominal data
37.
How many total people took the survey?
a)
50
b)
150
c)
100
d)
200
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