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![In the data set below, what is the interquartile range?
{:[7,7,5,8,9,8,5]:}](https://blblobstorage.blob.core.windows.net/solver-b2c/09640edc-eddd-11ee-a0ff-7a97b7f985ca.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.
- Find Median: Next, we find the median (the middle number) of the data set to divide it into two halves. Since there are numbers, the median is the fourth number.Median =
- Find Lower Quartile: Now, we find the lower quartile , which is the median of the lower half of the data set. The lower half is , not including the median of the entire data set.Lower quartile = Median of =
- Find Upper Quartile: Then, we find the upper quartile , which is the median of the upper half of the data set. The upper half is , not including the median of the entire data set.Upper quartile = Median of =
- Calculate Interquartile Range: Finally, we calculate the interquartile range (IQR) by subtracting the lower quartile from the upper quartile.
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