Question

multiple choice. choose the one alternative that best completes the statement or answers the question.
find the percentile for the data value.

1. data set: 52 31 47 69 73 71 30;

data value: 52
a) 43 b) 57 c) 20 d) 50
determine which score corresponds to the higher relative position

Explanation:

Step1: Sort the data set

Sort the data set \(30,31,47,52,69,71,73\).

Step2: Calculate the percentile

The formula for percentile \(P=\frac{\text{number of values less than }x}{\text{total number of values}}\times100\).
Here \(x = 52\), the number of values less than \(52\) is \(3\) (values \(30,31,47\)), and the total number of values \(n = 7\).

$$P=\frac{3}{7}\times100\approx42.86\approx43$$

Answer:

A. 43