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Answer :
The interquartile range of the given list is 11 oz.
What is the interquartile range?
An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.
W can find the values of the upper and lower quartile and median from a box plot.
The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.
The formula used is Upper quartile - Lower quartile.
We have,
To find the interquartile range (IQR), we first need to find the first quartile (Q1) and the third quartile (Q3) of the data.
To do this, we first need to order the data set from smallest to largest:
8 oz, 8 oz, 12 oz, 16 oz, 16 oz, 18 oz, 20 oz, 20 oz
Next, we find the median of the data set. Since there are 8 data points, the median is the average of the two middle values:
Median = (16 oz + 16 oz)/2 = 16 oz
Now we can find Q1 and Q3. Q1 is the median of the lower half of the data set, and Q3 is the median of the upper half of the data set.
Lower half: 8 oz, 8 oz, 12 oz, 16 oz
Upper half: 16 oz, 18 oz, 20 oz, 20 oz
Q1 = (8 oz + 8 oz)/2 = 8 oz
Q3 = (18 oz + 20 oz)/2 = 19 oz
Finally, we can calculate the IQR as the difference between Q3 and Q1:
IQR = Q3 - Q1 = 19 oz - 8 oz = 11 oz
Therefore,
The interquartile range of the given list is 11 oz.
Learn more about the interquartile range here:
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