In the data set below, what is the interquartile range

To find the interquartile range (IQR) of the given data set, we first need to arrange the numbers in ascending order, which they already are:

42, 66, 69, 82, 98

Next, we identify the first quartile (Q1) and the third quartile (Q3):

1. Q1 is the median of the first half of the data (42, 66, 69). The median of this subset is 66, as it is the middle value.

2. Q3 is the median of the second half of the data (69, 82, 98). The median of this subset is 82, as it is the middle value.

Now, we calculate the IQR:

[ text{IQR} = Q3 – Q1 = 82 – 66 = 16 ]

So, the interquartile range is 16.

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