Multiple choice

The marks obtained by $19$ students of a class are $27, 36, 22, 31, 25, 26, 33, 24, 37, 32, 29, 28, 36, 35, 27, 26, 32, 35$ and $28$. Find the upper quartile.

  1. $35$
  2. $36$
  3. $37$

  4. None of these
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A Correct answer
Explanation

Sorted data: 22, 24, 25, 26, 26, 27, 27, 28, 28, 29, 31, 32, 32, 33, 35, 35, 36, 36, 37. With 19 values, the upper quartile (Q3) is the value at position 3/4 * (19 + 1) = 15th position. The 15th value is 35.

AI explanation

Arrange the 19 observations in ascending order to find the upper quartile, which is located at the 3 times (n plus 1) divided by 4 position, yielding the 15th value. The 15th value in the ordered data is 35, making the upper quartile 35.

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