a national chain of department stores ranks its 1,000,000 salespeople by the monetary value of their sales…

a national chain of department stores ranks its 1,000,000 salespeople by the monetary value of their sales. omars sales are at the 86th percentile. charmaines sales are at the 55th percentile. (a) which of the following must be true about omars and charmaines sales? charmaines sales were higher in value than omars sales. both omar and charmaine had sales higher in value than the median. the value of omars sales were $3100 more than charmaines. the values of both omars and charmaines sales were in the bottom half of all of the salespeople. (b) which of the following must be true about omars sales? omar had sales lower in value than about 86% of the salespeople. the value of omars sales were about 86% of the chains total. omar had sales higher in value than about 86% of the salespeople. the value of omars sales were about 14% of the chains total.

a national chain of department stores ranks its 1,000,000 salespeople by the monetary value of their sales. omars sales are at the 86th percentile. charmaines sales are at the 55th percentile. (a) which of the following must be true about omars and charmaines sales? charmaines sales were higher in value than omars sales. both omar and charmaine had sales higher in value than the median. the value of omars sales were $3100 more than charmaines. the values of both omars and charmaines sales were in the bottom half of all of the salespeople. (b) which of the following must be true about omars sales? omar had sales lower in value than about 86% of the salespeople. the value of omars sales were about 86% of the chains total. omar had sales higher in value than about 86% of the salespeople. the value of omars sales were about 14% of the chains total.

Answer

Explanation:

Step1: Recall percentile definition

The $n$th percentile of a data - set is a value such that $n$ percent of the data values are less than or equal to that value.

Step2: Analyze Omar's percentile

Omar's sales are at the 86th percentile. This means that about 86% of the salespeople had sales lower in value than Omar's. In other words, Omar had sales higher in value than about 86% of the salespeople.

Step3: Analyze Charmaine's percentile

Charmaine's sales are at the 55th percentile. This means that about 55% of the salespeople had sales lower in value than Charmaine's, and about 45% had higher sales.

Step4: Answer part (a)

Since Omar is at the 86th percentile and Charmaine is at the 55th percentile, Omar's sales were higher in value than Charmaine's.

Step5: Answer part (b)

Since Omar is at the 86th percentile, the value of Omar's sales were higher in value than about 86% of the chain's salespeople.

Answer:

(a) Omar had sales higher in value than Charmaine's. (b) The value of Omar's sales were higher in value than about 86% of the chain's salespeople.