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Arrange 17, 4, 23, 8, 15, 42, 16 in ascending order. By how much does the range exceed the median?

Class 9StatisticsStatistics and Probability
  • A26
  • B22
  • C23
  • D38

Step-by-Step Solution

Sorted: 4, 8, 15, 16, 17, 23, 42. With n = 7 the median is the 4th value = 16, and the range = 42 − 4 = 38. The range exceeds the median by 38 − 16 = 22.
Answer: B) 22

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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