Question 1

A hospital administrator is analyzing the ages of patients admitted in a week: 45, 47, 48, 48, 49, 50, 52. Which measure of central tendency is most affected if a data entry error changes the last value from 52 to 82?

Accepted Answer

The mean, because it is sensitive to extreme values.

Question 2

A teacher records the following quiz scores: 6, 7, 5, 6, 5, 5, 6, 5, 6, 6, 7, 6, 5. What is the mode of the data set?

Accepted Answer

$5$

Question 3

Which of the following statements about the median is TRUE?

Accepted Answer

The median is the value that lies in the middle of the data set when the data is ordered.

Question 4

A data set consists of the following values: 10, 12, 14, 16, 18. What is the mean of the data set?

Accepted Answer

$14$

Question 5

A researcher collects the following cholesterol levels (mg/dL): 170, 173, 175, 180, 190. What is the median cholesterol level?

Accepted Answer

$175$

Question 6

Which of the following best describes the mode?

Accepted Answer

The value that occurs with the greatest frequency in a data set.

Question 7

A student’s final grade is calculated using the following weights: Homework 10%, Quiz 10%, Project 20%, Final Exam 60%. If the student scores 88 on Homework, 91 on Quiz, 96 on Project, and 89 on the Final Exam, what is the student’s weighted mean score?

Accepted Answer

$91.25$

Question 8

A frequency distribution for gas mileage (in miles per gallon) is given: 20-29: 3, 30-39: 4, 40-49: 1, 50-59: 1, 60-69: 1. What is the approximate mean of the frequency distribution?

Accepted Answer

$35.5$

Question 9

Which of the following statements is TRUE regarding the effect of outliers on measures of central tendency?

Accepted Answer

The mean is more affected by outliers than the median.

Question 10

A data set contains the values: 2, 4, 4, 6, 8, 10, 12. Which of the following is correct?

Accepted Answer

The mean, median, and mode are all different.

Question 11

A quality assurance check records the weights (in grams) of six protein powder containers as: 1527, 1530, 1500, 1519, 1504, 1531. If the value 1500 was incorrectly recorded and should be 1514, how does this affect the mean and median?

Accepted Answer

The mean increases by $2.4$ and the median increases by $5$.

Question 12

Which of the following is NOT a property of the mean?

Accepted Answer

It is always one of the data values in the set.

Question 13

A data set has the following values: 3, 5, 7, 9, 11, 13. What is the median?

Accepted Answer

$8$

Question 14

Which of the following statements is TRUE about the mode?

Accepted Answer

A data set can have more than one mode.

Question 15

A statistics class has 9 engineering majors with a mean score of 94, 5 math majors with a mean score of 91, and 13 business majors with a mean score of 85. What is the mean score for the entire class?

Accepted Answer

$89.7$

Question 16

Which measure of central tendency is most appropriate for categorical (nominal) data?

Accepted Answer

Mode

Question 17

A data set contains the values: 1, 2, 2, 3, 4, 5, 5, 5, 6. Which of the following is correct?

Accepted Answer

The mode is $5$.

Question 18

A data set has the following values: 10, 10, 10, 10, 10. Which of the following is TRUE?

Accepted Answer

The mean, median, and mode are all equal.

Question 19

Which of the following is a limitation of the median?

Accepted Answer

It does not take into account the actual values of all data points.

Measures of Central Tendency in Statistics: Mean, Median, and Mode

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