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Sam's points during the first half-yearly (semester) were 78, 96, 86, 96, 79, 85, 100, 97, 69 and 73. What was the median of his marks?
1. 54
2. 85.5
3. 23
4. 35

1 Answer

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Best answer
Correct Answer - Option 2 : 85.5

Given:

Data is 78, 96, 86, 96, 79, 85, 100, 97, 69 and 73

Calculation:

Arrange in ascending order = 69, 73, 78, 79, 85, 86, 96, 96, 97, 100

If data is even, so 

Median = {(n/2)th + (n/2 + 1)th}term/2

⇒ {10/2 + (10/2 + 1)}/2

⇒ (5th term + 6th term)/2

⇒ (85 + 86)/2

⇒ 85.5

∴ The median is 85.5. 

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