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Chapter 2: Q. 2.16 (page 91)

Refer to the Table 2.23. Find the third quartile. What is another name for the third quartile?

Short Answer

Expert verified

The third quartile is represented by the number4, and it is also known as the75thpercentile.

Step by step solution

01

Given

We are provided information on forty bus drivers who were asked how many hours they spend on their routes each day.

02

Explanation

Thepercentilesarethepartitionvaluesinstatistics.
The data is divided into 100equal pieces by the percentile.
The median is represented by the 50th percentile, and 50%of the data is found below this figure.
In the same way, the 60thpercentile will contain 60%of the data below it.
The third quartile, or 75thpercentile, must be found.
We find 0.65and 0.90in the "cumulative relative frequency" column. We have 65 percent of the data when we have all twos and threes. We have 90%of the data if we include all four quadrants. As a result, the 75thpercentile must be4.
Another method to approach the problem is to calculate 75%of 40, which equals 30.
The 30th number in the third quartile, Q3, is 4.
Countingvaluescanbeusedtoverifythisanswer.
(There are 29values in the bottom quartile and ten in the top.)
2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,5,5,5,5
Because the 30thobservation is definitely a 4, the third quartile is also a 4.
The 75thpercentile is another term for the third quartile.

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