What is the mean of the distribution?
For the following two (02) items: Consider the following distribution having median value 24 : Marks | Number of Students Less than 10 | 5 Less than 20 | 30 Less than 30 | 30 + k Less than 40 | 48 + k Less than 50 | 55 + k
- A. 21.625
- B. 22.225
- C. 23.225
- D. 24.625 ✓
Correct Answer: D. 24.625
Explanation
Substituting k = 25, the frequencies are 5, 25, 25, 18, and 7. The sum of f_ix_i is (5\times5 + 25\times15 + 25\times25 + 18\times35 + 7\times45) = 1970. The total frequency is 80. Mean = 1970 / 80 = 24.625.
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