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Five observations are written in ascending order and their median is 12. If only the largest observation is increased by 20, what happens to the median?

Class 9StatisticsStatistics and Probability
  • AIt becomes 32
  • BIt stays 12
  • CIt becomes 16
  • DIt becomes 14

Step-by-Step Solution

With 5 observations the median is the 3rd value. Raising only the largest value does not change the order or the 3rd value, so the median stays 12. The mean, however, would rise.
Answer: B) It stays 12

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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