Question

Use the following information to answer the next six exercises. Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell three cars; nineteen generally sell four cars; twelve generally sell five cars; nine generally sell six cars; eleven generally sell seven cars.

${70}^{th}$percentile = _______

Short answer

${70}^{th}$percentile is $6$.

Step-by-step solution

Given information

From Sixty-five car salespersons, fourteen people answered that they sell three cars; nineteen generally sell four cars; twelve generally sell five cars; nine generally sell six cars; eleven generally sell seven cars in one week.

Explanation

According to the given information, the data

$$\begin{gathered} 33333333333333444444444444444444455555 \\ 555555566666666677777777777 \end{gathered}$$

Frequency table:

X	f	cf
3	14	14
4	19	33
5	12	45
6	9	54
7	11	65

Here we divide all these $65$data on a $100$scale. We asked to find the ${70}^{th}$percentile of the number of cars sold which is the first $70\%$of the data. Hence we get $70\%$of the data from the first is $0.7\left(65+1\right)=46.2^{th}$. From the above table ${46}^{th}{\text{and47}}^{th}$value is $6$. Therefore ${70}^{th}$percentile is 6.