The interquartile range of the given data set is 2.
We need to find the interquartile range of the data set given.
To find the interquartile range (IQR), first, find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.
The given set of data is
0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 5, 5, 5, 6, 6
To find Q1:
The lower half of the numbers are
That is 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2,
So the median of the lower half (Q1)=1
To find Q3:
The upper half of the numbers are 2, 2, 2, 2, 3, 3, 3, 3, 4, 5, 5, 5, 6, 6
So the median of the upper half (Q3)=3
Then, IQR=Q3-Q1=3-1=2
Therefore, the interquartile range of the given data set is 2.
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