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

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{ }(p)/(100)* N \\ \\ n=(8)/(100)*14 \\ n=0.08*14 \\ 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{ }(p)/(100)* N \\ \\ n=\text{ }(74)/(100)*14 \\ \\ n=0.74*14 \\ 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