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# Describing and Summarisng Data Sets

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Find the median of each set of numbers.
1. 26, 30, 38, 67, 59, 21, 17, 85, 22, 22

Give the Five numbers summary of each set of numbers.
2. 7, 7, 5, 4, 1, 9, 8, 8, 8, 5, 2

One measure used to describe a data set is the range. The range of a data set is given by the difference between the max and the min of the set. The range describes the variability of the data (that is, how much do the numbers vary). Find the range of each set of numbers.

3. 7, 7, 5, 4, 1, 9, 8, 8, 8, 5, 2

#### Solution Preview

1. List the number from lowest to highest: 17, 21, 22, 22, 26, 30, 38, 59, 67, 85
There are totally n = 10 numbers in the set.
Therefore, the median is the mean of the n/2 and (n/2 + 1)th numbers.
n/2 = 5th number is 26.
The 6th number is ...

#### Solution Summary

This solution explains how to find the summary of each set of numbers, including the mean, median, minimum, and maximum of the range for each set.

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