Question

Find the interquartile range (IQR) of the data in the dot plot below.
1,2,3,3,4,4,4,6

Answer 1

The value of interquartile range (IQR) of the data set which is plotted in the dot plot 1,2,3,3,4,4,4,6 is 1.5.

What is the interquartile range (IQR) of the data?

The interquartile range (IQR) of the data is the middle half of the data, which contains 2nd and 3rd quartiles.

Interquartile range is the difference of third quartile and first quartile.

IQR=Q₃-Q₁

In the dot plot below, the data is given as,

1,2,3,3,4,4,4,6

The first quartile is the medium of the lower half, while the third quartile is the medium of the upper half. For the above data,

Q_1=2.5

Q_3=4

Thus, Interquartile range is,

IQR=Q₃-Q₁

IQR=4-2.5

IQR=1.5

Hence, the value of interquartile range (IQR) of the data set which is plotted in the dot plot 1,2,3,3,4,4,4,6 is 1.5.

Learn more about the interquartile range (IQR) here:

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