2023 · Q83
Consider the following distribution for the next two (02) items that follow: Class intervals 40-50, 50-60, 60-70, 70-80 have frequencies 4, 3, 1, 2 respectively. What is the mean deviation about the mean of the distribution?
Elementary MathematicsStatistics
- A51
- B52
- C54
- D56
Explanation
With midpoints 45, 55, 65, 75 and frequencies 4, 3, 1, 2, the mean is 560/10 = 56 and the mean deviation about the mean is (4·11 + 3·1 + 1·9 + 2·19)/10 = 9.4. This matches none of the given options (51, 52, 54, 56), so the distribution as transcribed admits no correct answer. Key disputed: verify against the official UPSC key.