Question

The export of mangoes in million rupees from a district during eight weeks is given below. The median values of the set will be:
21.3, 29.7, 16.6, 2.3, 14.1, 36.6, 18.7, 3.5

• A. 18.7
• B. 17.65
• C. 16.6
• D. 30.35

Hint:

Median: Middle value of ordered data.
For even n: Average of two middle values.
Median is not affected by extreme values (unlike mean).

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
Median is the middle value when data is arranged in ascending order.

Step 2: Key Formula or Approach:
For even number of observations, median = average of the two middle values.

Step 3: Detailed Explanation:
Given data: 21.3, 29.7, 16.6, 2.3, 14.1, 36.6, 18.7, 3.5
Arrange in ascending order:
2.3, 3.5, 14.1, 16.6, 18.7, 21.3, 29.7, 36.6
Number of observations (n) = 8 (even)
Median = \(\frac{4th + 5th}{2}\)
4th value = 16.6
5th value = 18.7
Median = \(\frac{16.6 + 18.7}{2} = \frac{35.3}{2} = 17.65\)
Thus, the median is 17.65.

Step 4: Final Answer:
Thus, the median value is 17.65.
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