The interquartile range (IQR) of the data in the dot plot is 4
Calculating interquartile range
From the question, we are to determine the interquartile range (IQR) of the data
From the diagram, we can produce the data set
0, 0, 0, 1, 1, 3, 3, 4, 7, 7
Now, we will determine the interquartile range of this data set.
The interquartile range is the difference in value between the upper quartile and lower quartile.
The upper quartile (Q3), is the value under which 75% of data points are found when arranged in increasing order.
The lower quartile (Q1), is the value under which 25% of data points are found when they are arranged in increasing order.
∴ IQR = Q3 - Q1
From the data set
0, 0, 0, 1, 1, 3, 3, 4, 7, 7
Upper quartile (Q3) = 4
and
Lower quartile (Q1) = 0
∴ Interquartile range (IQR) = 4 - 0
IQR = 4
Hence, the interquartile range (IQR) of the data in the dot plot is 4
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