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To find the median of 9, 4, 11, 6, 2, Ravi took the middle number of the list as it was written and answered 11. What is the correct median?

Class 9StatisticsStatistics and Probability
  • A6
  • B11
  • C9
  • D6.4

Step-by-Step Solution

The data must be ordered first: 2, 4, 6, 9, 11. With n = 5 the median is the 3rd value = 6. Ravi’s 11 is only the middle entry of the unsorted list, and 6.4 is the mean.
Answer: A) 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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