Answered: A national chain of department stores…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

A national chain of department stores ranks its

1,250,000

salespeople by the monetary value of their sales. Goran's sales are at the

78th

percentile. Lena's sales are at the

56th

percentile.

(a) Which of the following must be true about Goran's sales?

Goran had sales lower in value than about

78%

of the salespeople.

The value of Goran's sales were about

78%

of the chain's total.

Goran had sales higher in value than about

78%

of the salespeople.

The value of Goran's sales were about

22%

of the chain's total.

(b) Which of the following must be true about Goran's and Lena's sales?

Lena's sales were higher in value than Goran's sales.

Both Goran and Lena had sales higher in value than the median.

The value of Goran's sales were

$2200

more than Lena's.

The values of both Goran's and Lena's sales were in the bottom half of all of the salespeople.

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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