WAEC Mathematics 1991 (August) Question 37

Question 37

Measures of Central Tendency

The table below shows the frequency distribution of a number of chairs in each of 40 rooms of various houses.
No. of chairs: 1, 2, 3, 4, 5, 6, 7
Frequency: 2, 7, 5, 4, 9, 7, 6
Find the median of the distribution.

  1. A.9
  2. B.6.5
  3. C.5
  4. D.4.5
  5. E.4
Show the answer and explanation

Answer: C (5)

Explanation

The median is between the 20th and 21st rooms. Cumulative frequencies 2, 9, 14, 18, 27 show both are in the 5-chair group.