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The observations 6, 8, , 15, 18 are written in ascending order and their median is 11. What is the mean of the data?

Class 9StatisticsStatistics and Probability
  • A11
  • B12.4
  • C11.6
  • D58

Step-by-Step Solution

(odd), so the median is the 3rd value, giving . Sum = 6 + 8 + 11 + 15 + 18 = 58, so the mean = . The mean and the median need not be equal.
Answer: C) 11.6

Key idea: Median — the middle value

**Step 1**: Arrange data in ascending order.
**Step 2**: Count items (n).
**Step **: If is ODD, median is the value at position .
**Step **: If is EVEN, median is the average of values at positions and .

**Example odd . Position . Median = 7.

**Example even . Positions 2 and 3 → values 6 and 8 → median = .

Median is the right choice when there are extreme outliers, since it's not pulled by them like the mean is.

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