Consider the following data: 0, 2, 4, 6, 11, 12, 13. The 35^th percentile is A) 5. B) 4. C) 2. D) 6. E) 11.

Question

Quizplus · Accepted Answer

To find the 35th percentile, we need to arrange the data in order from smallest to largest: 0, 2, 4, 6, 11, 12, 13. The formula for finding the percentile is:

Percentile = k / 100 * (n + 1)

where k is the percentile desired (in this case, 35), and n is the total number of data points (in this case, 7). Plugging in the values, we get:

Percentile = 35 / 100 * (7 + 1) = 2.8

This means that the 35th percentile falls between the second and third data points, which are 2 and 4. To find the exact value, we use linear interpolation:

Percentile Value = 2 + 0.8 * (4 - 2) = 3.6

Rounding to the nearest whole number, we get 4, so the answer is B.

Consider the Following Data: 0, 2, 4, 6, 11, 12