Question

The data below shows a miles driven on a single day by random sample of 14 student calculate the 8th and the 74% hall of the data

Answer 1

Solution

8th percentile

N=14

Now we need to arrange the data from the smallest to the biggest

(Ascending order)

17, 21, 38, 46, 54, 61, 61, 66, 68, 70, 79, 81, 82, 82

$\begin{gathered} n=\text{ }\frac{p}{100}\times N \\ \\ n=\frac{8}{100}\times14 \\ n=0.08\times14 \\ n=1.12^{th} \\ n=2^{nd} \\ \end{gathered}$

Therefore, the 8th percentile is 21

This means that approximately 8% of the data lies below 21 when the data are ranked

Part B

74th percentile

N= 14

$\begin{gathered} n=\text{ }\frac{p}{100}\times N \\ \\ n=\text{ }\frac{74}{100}\times14 \\ \\ n=0.74\times14 \\ n=10.36 \\ n=11^{th} \\ \end{gathered}$

Therefore, the 74th percentile is 79

This means that approximately 74% of the data lies below 79 when the data are ranked