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Assertion (A): The median of 3, 5, 7, 9 is 6. Reason (R): For an even number of observations, the median is the average of the two middle values. Which is correct?

Class 9StatisticsStatistics and Probability
  • ABoth A and R are true and R correctly explains A
  • BBoth A and R are true but R does not explain A
  • CA is true but R is false
  • DA is false but R is true

Step-by-Step Solution

(even), middle values are 5 and 7, median = . So A is true, and R is the correct rule explaining it.
Answer: A) Both A and R are true and R correctly explains A

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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