The third quartile is 23
Step-by-step explanation:
To find the third quartile of set of data do that:
- Arrange the data from smallest to largest
- Find the median of the data (middle number)
- 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 = [tex]\frac{22+24}{2}[/tex] = 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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