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Compute the third quartile for the following data.10, 15, 17, 21, 25, 12, 16, 11, 13, 22

Question

Compute the third quartile for the following data.

Given data:

10, 15, 17, 21, 25, 12, 16, 11, 13, 22

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Solution

To compute the third quartile (Q3) for the data, follow these steps:

  1. First, sort the data in ascending order: 10, 11, 12, 13, 15, 16, 17, 21, 22, 25.

  2. The third quartile (Q3) is the median of the second half of the data. Since there are 10 data points, the second half of the data is: 16, 17, 21, 22, 25.

  3. To find the median of this data, locate the middle number. If there is an even number of data points, the median is the average of the two middle numbers. In this case, there are 5 data points in the second half, so the median (Q3) is the third number, which is 21.

So, the third quartile (Q3) of this data is 21.

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