Consider the following data set: 55, 38, 30, 66, 67, 68, 44; What is the percentile for data value 55?

Solution:

The given data set is 55, 38, 30, 66, 67, 68, 44.

Arranging it in ascending order, we get

30, 38, 44, 55, 66, 67, 68

Number of scores below 55 = 3

Total number of scores = 7

We have to find the percentile for the data value 55

The percentile of the value ‘x’ is calculated by the ratio of the number of values below ‘x’ to the total number of values.

Percentile = (Number of Values Below “x” / Total Number of Values) × 100

Percentile for data value 55 = 3/7 × 100 = 42.8

Therefore, the percentile for data value 55 is 42.8.

Consider the following data set: 55, 38, 30, 66, 67, 68, 44; What is the percentile for data value 55?

Summary:

Consider the following data set: 55, 38, 30, 66, 67, 68, 44; the percentile for data value 55 is 42.8.