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Find the interquartile. Range of data 68,82,44,79,94,60,78,70,59

User Sajjon
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1 Answer

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First, we need to find the median (Q2) of the data:

Arranging the data in ascending order:
44, 59, 60, 68, 70, 78, 79, 82, 94

Median (Q2) = (70 + 78) / 2 = 74

Next, we need to find the median (Q1) of the lower half of the data:

Lower half of the data: 44, 59, 60, 68, 70

Median (Q1) = (59 + 60) / 2 = 59.5

Finally, we need to find the median (Q3) of the upper half of the data:

Upper half of the data: 78, 79, 82, 94

Median (Q3) = (82 + 79) / 2 = 80.5

The interquartile range (IQR) is the difference between Q3 and Q1:

IQR = Q3 - Q1 = 80.5 - 59.5 = 21

Therefore, the interquartile range of the given data is 21.
User Daniele Bertella
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