Q1. What is the difference between the median and the mode for the given data? 90, 94, 52, 68, 80, 94, 52, 65, 87, 90, 70, 52
A 23 Correct
B 25
C 27
D 29
Explanation
Arrange the data in ascending order: 52, 52, 52, 65, 68, 70, 80, 87, 90, 90, 94, 94. There are 12 observations, so the median is the average of the 6th and 7th values, that is (70 + 80) ÷ 2 = 75. The mode is the value that occurs most often; 52 appears three times, more than any other number. The required difference is 75 - 52 = 23. The values 25, 27 and 29 result from using an incorrect middle value or an incorrect mode.