Question

Lucy knows about 6 Web sites that sell a designer T-shirt she loves. The mean price of the T-shirt is $14 and the range of prices is $7. Which of the following are possible prices for the T-shirt? A. $14, $14, $14, $14, $7, $7 B. $14, $14, $14, $14, $14, $21 C. $13, $13, $13, $15, $15, $15 D. $13, $12, $15, $15, $11, $18

Answer 1

D

Explanation:

When we talk of the range, that means the difference between the highest and the lowest figure in the data set

The mean refers to the sum of the values in the data set divided by the count of the value in the data set.

let’s take a look at data set option A;

mean = [4(14) + 2(7)]/6 = (56 + 14)/6 = 70/6 which is definitely not 14 which makes the option wrong

Let’s take a look at option C

mean = {13(3) + 15)3)}/6 = (39 + 45)/6 = 84/6 = 14

While the range is 15-13 = 2 which does not make it right too

Now, a look at option D

mean = (13 + 12 + 15 + 15 + 11 + 18)/6 = 84/6 = 14

range = 18-11 = 7 (highway number in the set minus lowest number)

This makes option D our answer