Statistics: Measures of Central Tendency

Topics in this chapter

• Central Tendency Concepts
• Frequency Distributions and Series
• Arithmetic Mean Methods
• Median and Cumulative Frequency
• Mode and Modal Classes
• Comparing Measures and Skewness

Cheat sheet

Practice questions

1. Question 1Q-57F4C4

   What is the arithmetic mean of 7, 9, 11, 13 and 15?

   1. A.9
   2. B.10
   3. C.11
   4. D.12
   See the answer and solution
2. Question 2Q-036AE4

   The values 10, 20, 30 and 40 have frequencies 2, 3, 4 and 1 respectively. What is their arithmetic mean?

   1. A.20
   2. B.22
   3. C.24
   4. D.26
   See the answer and solution
3. Question 3Q-58BEC7

   A set of seven observations is 4, 6, 8, 10, 12, 14 and 16. If the largest observation is replaced by 100, which statement is correct?

   1. A.The mean remains 10.
   2. B.The median becomes 12.
   3. C.The median remains 10, while the mean increases.
   4. D.The mode becomes 100.
   See the answer and solution
4. Question 4Q-43573C

   A distribution of monthly household incomes contains a few exceptionally high incomes. Which measure of central tendency would best represent the typical income, and why?

   See the answer and solution
5. Question 5Q-348BD8

   The following seven observations are arranged in ascending order: 5, 8, 12, 15, 18, 21 and 25. What is their median?

   1. A.12
   2. B.15
   3. C.18
   4. D.21
   See the answer and solution