Question

What is the five-number summary for the data set?

76, 100, 88, 83, 97, 94, 90, 99, 82, 86, 95, 81, 79, 95

Enter your answers in the boxes.
Minimum:

First quartile:

Median:

Third quartile:

Maximum:

Answer 1

Min: 76

Q1: 82

Med: 89

Q2: 95

Max: 100

Explanation:

First arrange the data set 76, 100, 88, 83, 97, 94, 90, 99, 82, 86, 95, 81, 79, 95 in ascending order:

76, 79, 81, 82, 83, 86, 88, 90, 94, 95, 95, 97, 99, 100

The minimum number is 76 and the maximum number is 100. There are 14 numbers, the median is the average of two middle terms:

`Med=(88+90)/(2)=89`

The middle term of first 7 numbers is 82 and the middle term of the second seven numbers is 95, so the five-number summary is

Min: 76

Q1: 82

Med: 89

Q2: 95

Max: 100