This worksheet provides a comprehensive quiz to test students' understanding of mean, median, mode, and range through ten multiple-choice problems.

Problem: Solve the questions related to measures of central tendency.

#### Explanation and Solutions:

1. Which of the following is NOT a measure of central tendency?
- Options: A. mean, B. median, C. mode, D. range
- Solution: Measures of central tendency are mean, median, and mode. The range is a measure of dispersion, not central tendency.
- Answer: D. Range

2. Which measure of central tendency is obtained by calculating the sum of values and dividing this figure by the number of values in a data set?
- Options: A. mean, B. median, C. mode, D. range
- Solution: The mean is calculated by summing all the values and dividing by the number of values.
- Answer: A. mean

3. Which measure of central tendency is obtained using the middle score when all scores are arranged in increasing or decreasing order?
- Options: A. mean, B. median, C. mode, D. range
- Solution: The median is the middle value when the data is arranged in ascending or descending order.
- Answer: B. median

4. Which of the following is considered as the most stable and reliable measure of central tendency?
- Options: A. mean, B. median, C. mode, D. range
- Solution: The mean is generally considered the most stable and reliable measure of central tendency because it uses all the data points in its calculation.
- Answer: A. mean

5. Which measure of central tendency is generally used in determining the size of the most saleable shoes in a department store?
- Options: A. mean, B. median, C. mode, D. range
- Solution: The mode represents the most frequently occurring value, which would be useful for determining the most saleable shoe size.
- Answer: C. mode

6. Which measure of central tendency is generally affected by extreme scores?
- Options: A. mean, B. median, C. mode, D. range
- Solution: The mean is sensitive to extreme values because it involves summing all the values. Extreme scores can significantly affect the mean.
- Answer: A. mean

7. If the heights in centimeters of a group of students are 180, 180, 173, 170, and 167, what is the mean height of these students?
- Options: A. 170, B. 173, C. 174, D. 180
- Solution:
\[
\text{Mean} = \frac{\text{Sum of all heights}}{\text{Number of students}}
\]
\[
\text{Sum of heights} = 180 + 180 + 173 + 170 + 167 = 870
\]
\[
\text{Number of students} = 5
\]
\[
\text{Mean} = \frac{870}{5} = 174
\]
- Answer: C. 174

8. What is the median age of a group of employees whose ages are 36, 38, 28, 30, 26, and 25 years?
- Options: A. 25, B. 26, C. 29, D. 30
- Solution:
- Arrange the ages in ascending order: 25, 26, 28, 30, 36, 38.
- Since there are 6 values (an even number), the median is the average of the 3rd and 4th values.
\[
\text{Median} = \frac{28 + 30}{2} = \frac{58}{2} = 29
\]
- Answer: C. 29

9. Nine people gave contributions in pesos: 100, 200, 100, 300, 300, 200, 200, 150, and 100 for a door prize. What is the median contribution?
- Options: A. P 100, B. P 150, C. P 175, D. P 200
- Solution:
- Arrange the contributions in ascending order: 100, 100, 100, 150, 200, 200, 200, 300, 300.
- Since there are 9 values (an odd number), the median is the 5th value.
\[
\text{Median} = 200
\]
- Answer: D. P 200

10. **Find the mode from the number of break times taken by a worker during a 10-day period given the following data: