Question

The data valo showed a mouse driven on a single day by random sample of 13 student calculate the 38th and the 60th percent all of the data

Answer 1

To get the percentile

Step 1: Write the formula

`\begin{gathered} P_i=((i(n+1))/(100))^(th) \\ \\ \text{where n = 13} \end{gathered}`

For the 38th percentile

`P_(38)=((38(13+1))/(100))^(th)`
`P_(38)=5.32^(th)\text{ number}`

This means that the 38th percentile is between the 5th and 6th number

`\begin{gathered} P_(38)=5^(th)\text{ observation}+0.32\lbrack6^(th)-5^(th)\rbrack \\ P_(38)=41+0.32(43-41)=41.64 \\ P_(38)=41.64 \end{gathered}`

P38 = 41.64This means that approximately 38% of the data lie below 43, when the data are ranked

For the 60th percentile,

`P_(60)=((60(13+1))/(100))^(th)`

`P_(60)=8.4^{th\text{ }}n\\u mber`

6089

`P_{}=8^(th)\text{ observation}+0.4\lbrack9^(th)-8^(th)\rbrack`
`\begin{gathered} P_(60)=56+0.4(58-56) \\ P_(60)=56.8 \end{gathered}`

60