Q. 35 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. 35 (page 132)

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.
Second quartile = median = $50^{t h}$ percentile = _______

Short Answer

Expert verified

We get $Q_{2} = 4$ . So $4$ is the second quartile.

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 is

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

Here we divide all these $65$ data on a $100$ scale. We asked to find the second quartile of the number of cars sold which is the first $50 %$ of the data. Hence we get $50 %$ of the data from the first is $4$ . Also, this is the median of the data.