Answer:
4.5
Step-by-step explanation:
The IQR (interquartile range) is the range of the 75% and the 25%, so the middle 50%. We can find this by:
Put the set in numerical order: 4, 10, 10, 11, 12, 12, 12, 12, 13, 13, 15, 15, 17, 18, 19, 20
Split this list in half: 4, 10, 10, 11, 12, 12, 12, 12 | 13, 13, 15, 15, 17, 18, 19, 20
Find the medians of these two lists: 11.5, 16
Subtract: 16 - 11.5 = 4.5
A box plot has 5 data descriptions. The interquartile range or IQR of the given data set is 4.5.
A box plot has 5 data descriptions.
For the given set of data 4, 10, 10, 11, 12, 12, 12, 12, 13, 13, 15, 15, 17, 18, 19, 20.
The quartiles of the data will be at:
Q₁ → 11.5
Q₂ → 12.5
Q₃ → 16
Since the IQR or the inter quartile range is the difference between the first and the last quartile. Therefore, IQR of the given data set is,
IQR = Q₃ - Q₁
= 16 - 11.5
= 4.5
Hence, the interquartile range or IQR of the given data set is 4.5.
Learn more about Box-plot:
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