#### Solved Examples and Worksheet for Appropriate Measures of Central Tendency for the Data

Q1Which measure of central tendency is most appropriate for a data that describes the favorite fruit of grade 7 students?
A. median
B. mode
C. outlier
D. mean

Step: 1
Among the choices mode is the most appropriate for a data that describes the favorite fruit of grade 7 students.
Q2Which measure of central tendency is most appropriate for a data that describes the cost of breakfast($)? A. median B. outlier C. mean D. mode Step: 1 Mean is the sum of the data divided by the number of data items in the data set. Step: 2 Mean is the most appropriate measure of central tendency that describes the cost of breakfast($).
Q3Which measure of central tendency is most appropriate for a data that describes a weekly allowance?

A. outlier
B. mean
C. mode
D. median

Step: 1
Among the choices mean is the most appropriate for a data that describes the weekly allowance.
Q4Which measure of central tendency would be misleading for the data that describes the hourly wages of 5 people $6.00,$9.50, $9.50,$4.75, $4.50? A. median B. mean C. mode D. none of these Step: 1 The hourly wages of 5 people are$6.00, $9.50,$9.50, $4.75,$4.50.
Step: 2
Among the choices mode would be misleading measure for the data that describes the hourly wages of 5 people $6.00,$9.50, $9.50,$4.75, \$4.50
Q5Which measure of central tendency is most appropriate for the data listed?
72, 55, 67, 89, 120, 76

A. mean
B. median
C. mode
D. none of these

Step: 1
The given data set is 72, 55, 67, 89, 120, 76.
Step: 2
Median is the most appropriate measure for the data listed.
Q6John has taken an aptitude test 6 times and his scores are 82, 85, 90, 95, 27 and 87. Which measure of central tendency is most appropriate for his scores?
A. Median
B. Range
C. Mode
D. Mean

Step: 1
Range is the difference between the maximum and minimum values of the data set.
Step: 2
Mode is used to find the occurrence of maximum times of a data value.
Step: 3
Mean is a better measure of central tendency if there is no outlier in the data.
Step: 4
27 is the outlier in the data as it is far apart from other values. So, it may skew the central tendency.
Step: 5
As the outlier influences the mean, the median is the better measure of the central tendency.
Q7Which measure of central tendency is most appropriate for the data listed?
27, 28, 30, 32, 29, 34, 31, 33, 35

A. Mode
B. Mean
C. Outlier
D. Median

Step: 1
Mean is a better measure of central tendency if there is no outlier in the data.
Step: 2
There is no outlier in the given data.
Step: 3
So, mean is the most appropriate measure of central tendency for the given data.
Q8A survey was conducted by a sports channel, about the favorite sport of the people in a locality. Which measure of central tendency is the best for the given situation?

A. Mean
B. Range
C. Mode
D. Median

Step: 1
Mode is the best method to describe the central tendency of non-numerical data.
Step: 2
Here the data is non-numerical.
Step: 3
So, the measure of central tendency that is the best for the given situation is Mode.
Q9If children in a school are asked about their favorite cartoon, which measure of central tendency will be the most helpful to make their choice?

A. Mode
B. Range
C. Mean
D. Median

Step: 1
Mode is the best method to describe the central tendency of non-numerical data.
Step: 2
Here the data is non-numerical.
Step: 3
So, the measure of central tendency that is the best for the given situation is Mode.
Q10The scores of students of four teams A, B, C, and D in their math tests were recorded. Each team reported an average of 90. Which of the following measure of central tendency was used by the teams?
A: 85, 81, 91, 96, 97
B: 93, 92, 90, 90, 91
C: 85, 81, 94, 93, 90
D: 85, 89, 90, 90, 90

A. Team C used median
B. Team A used mode
C. Team D used mean
D. Team B used median

Step: 1
Mode does not exist for Team A.
Step: 2
90, 90, 91, 92, 93
[Ordered list of Team B.]
Step: 3
Median of Team B is 91.
[Middle score in the ordered list.]
Step: 4
81, 85, 90, 93, 94
[Ordered list of Team C.]
Step: 5
Median of Team C is 90.
[Middle score in the ordered list.]
Step: 6
Mean of Team D = 85 + 89 + 90 + 90 + 905 = 88.8
Step: 7
Average 90 is obtained by taking median for team C scores.
Step: 8
So among the choices, Team C used median is true.
Correct Answer is :   Team C used median
Q11Paula recorded the number of hours her classmates spend watching TV in a week. Which measure of central tendency is the most appropriate for describing the data?
A. outlier
B. mode
C. mean
D. median

Step: 1
Mean is the best measure of central tendency when there is no outlier in the data set.
Step: 2
So, mean is the appropriate measure of central tendency for a data that describes the time spent by the students in watching TV.