What is the third quartile of this data set?20, 21, 24, 25, 28, 29, 35, 37, 39, 42, 44A.29B.39C.44D.24SUBMITarrow_backPREVIOUS
Question
What is the third quartile of this data set?
20, 21, 24, 25, 28, 29, 35, 37, 39, 42, 44
A. 29
B. 39
C. 44
D. 24
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Solution
To find the third quartile (Q3) of a data set, you first need to put the data in ascending order, which it already is in this case.
The third quartile is the median of the second half of the data set.
The data set has 11 numbers, so the second half of the data set starts from the 6th number, which is 29.
The second half of the data set is: 29, 35, 37, 39, 42, 44.
The median of this set is the average of the middle two numbers, which are 37 and 39.
So, Q3 = (37 + 39) / 2 = 38.
However, 38 is not an option in the multiple choices provided.
It seems there might be a mistake in the question or the options provided.
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