Worksheet Chapter 12: Measures of Central Tendency

1. The mean mass of 5 students is 48 kg. When a new student with a mass of 60 kg joins the group, calculate the new mean mass.

2. The mean of a set of 6 numbers is 10. A number x is removed, and the new mean of the remaining 5 numbers becomes 9. Find the value of x.

3. Consider the data set: 12, 14, 15, 15, 16, 18, 90. (a) Calculate the mean and median of this data set. (b) Identify the extreme value. (c) Explain which measure of central tendency better represents this data set.

4. A student scored 75, 82, and 68 in three tests. What score must he obtain in the fourth test to achieve a mean score of 80?

5. Fill in the blank: The measure of central tendency that represents the value with the highest frequency is called the ________.

6. True or False: Adding an extreme outlier value to a data set affects the median more than the mean.

7. The table below shows the distribution of goals scored by a soccer team: Goals (0, 1, 2, 3, 4) with Frequency (3, 5, 6, 4, 2). (a) State the mode. (b) Calculate the total number of matches played. (c) Calculate the mean number of goals per match.

8. True or False: The mean is always one of the actual numbers present in the given data set.

9. Which measure of central tendency is the most suitable to represent the preferred shoe size sold in a retail shop?

10. Calculate the mean, median, and mode for the data set: 6, 3, 9, 6, 11, 7, 7, 6, 8.