Question

A national chain of department stores ranks its 1,100,000 salespeople by the monetary value of their sales. Trey's sales are at the 67 th percentile. Mai's sales are at the 56 th percentile. (a) Which of the following must be true about Trey's and Mai's sales? Mai's sales were higher in value than Trey's sales. Both Trey and Mai had sales higher in value than the median. The value of Trey's sales were $ 1100 more than Mai's. The values of both Trey's and Mai's sales were in the bottom half of all of the salespeople. (b) Which of the following must be true about Trey's sales? Trey had sales lower in value than about 67 % of the salespeople. The value of Trey's sales were about 67 % of the chain's total. Trey had sales higher in value than about 67 % of the salespeople. The value of Trey's sales were about 33 % of the chain's total.

Answer 1

Ans :- for part a , the correct ans is

Both Trey and Mai had sales higher in value than the median.

Reason:- Median represents 50th percentile. Since Trey's sales are at the 67 th percentile and Mai's sales are at the 56 th percentile which implies their sales are more than the median value

Ans for part b, the correct ans is

Trey had sales higher in value than about 67 % of the salespeople.

Reason :- The 67% percentile represent that his relative position in all the employees in terms of sales