Solution: -
We have given data as follows,
53 | 04 | 14 | 55 | 02 | 24 | 27 | 48 | 51 | 34 | 37 | 08 | 04 | 35 | 34 |
Insert the given data in excell sheet,
Calculations: -
Here we have to find Interquartile range for given data.
i. e. Q3-Q1=(3rd quartile) - (1st quartile)
But
3rd quartile is always 75 th percentile, and
1st quartile is always 25 th percentile.
Hence,
For finding Q3 and Q1 by giving command in MS-excell
As
=PERCENTILE (array, k) ### where, array: select all data set.
k: percentile value, k=0.25 for Q1
k=0.75 for Q3
Therefore,
Q3=42.5 and Q1=11
Q3-Q1=42.5-11 = 31.5
Results: -
Interquartile range for given data set is 31. 5
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