Q. 39 Use the following information to... [FREE SOLUTION]

91影视

Introductory Statistics

Barbara Illowsky, Susan Dean

$Math Studyset 91影视 Explanations$ Math

OER 2018 Edition 路 902 pages

ISBN: 9781938168208

Chapter 2: Q. 39 (page 133)

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.
$70^{t h}$ percentile = _______

Short Answer

Expert verified

$70^{t h}$ 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

$3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7$

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 $70^{t h}$ 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 $0.7 (65 + 1) = 46 . 2^{t h}$ . From the above table $46^{t h} {and47}^{t h}$ value is $6$ . Therefore $70^{t h}$ percentile is 6.