CA Foundation · Quantitative Aptitude · Measures of Central Tendency and Dispersion
The ages (in years) of five employees are 2, 4, 5, 9 and 20 (treat as given values). What is the mean deviation about the median?
The mean deviation about the median is 4.6. The median is 5, the absolute deviations from it sum to 23, and dividing by 5 gives 4.6. Using the mean of 8 instead would give 5.2, which is the wrong reference point.
- A4.6Correct
- B5.2
- C23
- D5.75
Explanation
The median is 5. Absolute deviations from 5 are 3, 1, 0, 4, 15, which sum to 23. Mean deviation = 23/5 = 4.6. The value 5.2 is the mean deviation about the mean (8), and 5.75 comes from dividing by 4 instead of 5.
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