Find the values of the 30th and 90th percentiles of the data. 129, 113, 200, 100, 105, 132, 100, 176, 146, 152

Question

A. 30th percentile = 105; 90th percentile = 200
B. 30th percentile = 113; 90th percentile = 200
C. 30th percentile = 105; 90th percentile = 176
D. 30th percentile = 113; 90th percentile = 176

Answer 1

To find the 30th percentile, first arrange the data in ascending order: 100, 100, 105, 113, 129, 132, 146, 152, 176, 200.

The 30th percentile position can be calculated as: (30/100) * 10 = 3. Since this falls between the 3rd and 4th value in the ordered data, we take the average of those two values: (105 + 113) / 2 = 109.

To find the 90th percentile, the position can be calculated as: (90/100) * 10 = 9, which corresponds to the 9th value in the ordered data: 200.

Therefore, the correct answer is A. 30th percentile = 105; 90th percentile = 200.