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, 44A.29B.39C.44D.24SUBMITarrow_backPREVIOUS
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.
Similar Questions
33, 25, 42, 25, 31, 37, 46, 29, 38What is the third quartile (UQ) of the data?*1 point40374638
Compute the third quartile for the following data.10, 15, 17, 21, 25, 12, 16, 11, 13, 22
What is the first quartile of this data set?11, 12, 13, 15, 17, 19, 22, 24, 29, 33, 38A.19B.13C.29D.11
How many quartiles are there in a dataset?a.Threeb.Fourc.Oned.Two
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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