Question

Find the range and the first and third quartiles for the data set.94, 26, 90, 69, 98, 52, 68

Answer 1

We have a data set, with size n = 7.

The first thing to do is to sort them:

26

52

68

69

90

94

98

Then, we will have a range that is:

`R=\max -\min =98-26=72`

The first quartile is the limit for the first 25% (or 1/4) of the data. In this case it will include 7/4 = 1.75 values. This can be approximated to 2, so we will take the second value from least to greatest to represent the first quartile. This value is 52.

Then Q1 = 52.

The third quartile is the limit that include 75% of the data below its value. In this case it would corre