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A data set of 15 observations is arranged in ascending order. The median is the observation at which position?

Class 9StatisticsStatistics and Probability
  • A7th
  • B7.5th
  • C15th
  • D8th

Step-by-Step Solution

For an odd number of observations the median sits at position . Using belongs to the even-count rule and does not apply here.
Answer: D) 8th

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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