Question

Please help 14 points ASAP

Answer 1

The desired measures for the data-set is given by:

• Minimum: 48

• Lower quartile: 54.

• Median: 63.5.

• Upper quartile: 74.

• Maximum: 80.

• IQR: 20

How to find the five number summary and interquartile range of the data-set?

The five number summary is composed by the measures explained below, except the IQR.

• The minimum value is the smallest value from the data-set, as the maximum value is the greatest value of the data-set.

• The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.

• The first quartile is the median of the first half of the data-set.

• The third quartile is the median of the second half of the data-set.

• The interquartile range is the difference of the third quartile and the first quartile.

In this problem, we have that:

• The minimum value is the smallest value, of 48.

• The maximum value is the smallest value, of 80.

• The data-set has even cardinality, hence the median is the mean of the middle elements, which are 63 and 64, hence the median is of 63.5.

• The first quartile is the median of the five elements of the first half, hence it is of 54.

• The third quartile is the median of the five elements of the second half, hence it is of 74.

• The IQR is the difference between the quartiles, hence 74 - 54 = 20.

More can be learned about five number summaries at brainly.com/question/17110151

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