Find the range and the interquartile range.
57,96,72,63,88

The range is 39

The interquartile range is 32

Explanation:

The given data is

Let us arrange the data in ascending order.

Thus, we have,

We need to determine the range and interquartile range of the data.

Range:

The range of the data is the difference between the highest and the lowest value in the given data.

Highest value = 96

Lowest value = 57

Range = Highest value - Lowest value

           = 96 - 57

           = 39

Thus, the range of the data is 39

Interquartile range:

The interquartile range is the difference between the upper quartile and the lower quartile in the given data.

From, the given data, we have, 3 quartiles. They are and

Interquartile range =

                               =  

                               =  

The interquartile range is 32

List the data set from least to greatest:

57, 63, 72, 88, 96

Range: Highest value - Lowest value = answer

Range: 96 - 57 = 39

(IQR) Interquartile Range: Upper quartile - Lower quartile = answer

(IQR) Interquartile range: 88.5 - 57.5 = 31

other answer is correct. i had used the radius of the radius somehow. a website:

it would rotate about 180 degrees.