Question

in a data set of 200 observations with a range of 63.5 to 102.3, there are 138 observations with values less than 89.2. find the percentile for 89.2.
(1 point)
○ 32
○ 51
○ 69
○ 138

Explanation:

Step1: Recall the percentile formula

Percentile \( P=\frac{\text{Number of values less than }x}{\text{Total number of values}}\times100\)
Here, number of values less than \(x = 89.2\) is \(n = 138\), total number of values \(N=200\)

Step2: Substitute the values into the formula

\(P=\frac{138}{200}\times100\)
\(P = 0.69\times100\)

Answer:

\(69\)