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.10, 15, 17, 21, 25, 12, 16, 11, 13, 22
Solution
To compute the third quartile (Q3) for the data, follow these steps:
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First, sort the data in ascending order: 10, 11, 12, 13, 15, 16, 17, 21, 22, 25.
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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.
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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.
Similar Questions
What is the third quartile of this data set?14, 18, 20, 21, 25, 32, 42, 46, 48A.42B.32C.43D.44
What is the value of the first quartile for observations 15, 18, 10, 20, 23, 28, 12, 16?
What is the first quartile of this data set?11, 12, 13, 15, 17, 19, 22, 24, 29, 33, 38A.19B.13C.29D.11
33, 25, 42, 25, 31, 37, 46, 29, 38What is the third quartile (UQ) of the data?*1 point40374638
Finally, find Q3.Recall that the third quartile, Q3, is the median of the upper half of the data. That is, the median of the data located above the Q2 position.Consider the ordered list of data values. The median, Q2, which has been determined, has been underlined for clarity.3, 6, 6, 7, 8, 8, 9, 10, 11There are nine values in the whole data set, but there are only values to the right of the underlined median. The third quartile, Q3, will be equal to the median of these values.Since the lower half of the data has an even number of data values, we will now use the rule to find the median of an even number of data values.median = sum of middle two values2The middle two values of the upper half are 9 and .Now, calculate the third quartile, Q3.Q3 = 9 + 2 = 2 =
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