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![In the data set below, what is the interquartile range?
{:[13,39,40,35,60]:}](https://blblobstorage.blob.core.windows.net/solver-b2c/9152ebe8-eddc-11ee-b25b-667af2bd5b85.png)
In the data set below, what is the interquartile range?
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Q. In the data set below, what is the interquartile range?
- Order Data Set: First, we need to order the data set from smallest to largest to find the quartiles.Data set in order:
- Find Median: Next, we find the median (Q), which is the middle number of the ordered set.Since there are numbers, the median is the third number: .
- Find First Quartile: Now, we find the first quartile , which is the median of the lower half of the data set.The lower half of the data set is . The median of this set is .
- Find Third Quartile: Then, we find the third quartile , which is the median of the upper half of the data set.The upper half of the data set is . The median of this set is .
- Calculate Interquartile Range: Finally, we calculate the interquartile range (IQR), which is ..
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