The interquartile range is 55.
The interquartile range is the difference between the upper quartile and the lower quartile. In example 1, the IQR = Q3 – Q1 = 87 - 52 = 35. The IQR is a very useful measurement. It is useful because it is less influenced by extreme values as it limits the range to the middle 50% of the values.
Interquartile range = higher quartile - lower quartile
Given data, Â Â 50,25,80,10
To arrange the given data in ascending order 10,25,50,80.
Now, we will find the median for the given data.
The median is obtained by first arranging the data in ascending order and applying the following rule.
If the number of observations is even, then the median is [tex]\frac{n}{2}th[/tex] term.
In given data the number of observations is '4'(even)
If the number of observations is even, then the median is [tex]\frac{4}{2} th[/tex] means 2nd term. So median for the given data is 25. It means the value of lower quartile is 25 .
Interquartile range = higher quartile - lower quartile
                 = 80-25
                = 55 Â
Thus, interquartile range  for the given data is 55.
To learn more about  interquartile range from the given link:
https://brainly.com/question/15115336
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