Question

Here are the city gas mileages for 13

Answer 1

The third quartile is 23

Step-by-step explanation:

To find the third quartile of set of data do that:

1. Arrange the data from smallest to largest
2. Find the median of the data (middle number)
3. The 3rd quartile (Q3) is the median of the upper data, (the upper data is the data after the median of the data)

∵ The city gas mileages for 13  different midsized cars in 2008

   are 16, 15, 22, 21, 24, 19, 20, 20, 21, 27,  18, 21, 48

- Arrange the data from smallest to largest

∴ 15, 16, 18, 19, 20, 20, 21, 21, 21, 22, 24, 27, 48

∵ The set has 13 numbers

∴ The middle numbers is the 7th

∵ The 7th number is 21

∴ The median of the set is 21

∵ The upper data is the data after the median

∴ The numbers of the upper data are 21, 21, 22, 24, 27, 48

∵ The upper data has 6 numbers

- The median is the average of the middle two numbers

∴ The middle numbers are 22 and 24

∵ Their average = $\frac{22+24}{2}$ = 23

∴ The median of the upper data is 23

- The median of the upper data is the third quartile

∴ Q3 = 23

The third quartile is 23

Learn more:

You can learn more about the central data in brainly.com/question/4625002

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