Answer:
The inter quartile range is 55
Step-by-step explanation:
<u>Interquartile range</u>:-
<u>Definition</u>:-
The inter quartile range is the difference between the upper (Q3) and lower(Q1) quartiles, and describes the middle 50% of values when ordered from lowest to highest.
Interquartile range = higher quartile - lower quartile
given data 50.25.80.10
write the ascending order 10 25 50 80
Step:-1
Median:- The median is obtained by first arranging the data in ascending or descending order and applying the following rule.
If the number of observations is odd, then the median is
observations
Step2:-
The median is obtained by first arranging the data in ascending or descending order and applying the following rule.
If the number of observations is even, then the median is
In given data the number of observations is '4'(even)
If the number of observations is even, then the median is
median is is 2 observations and is 2.5 observations.
so we have to select average of these two observations.
therefore the median is '3' observation
median of the given data = 50
<u>Step:3</u>
Interquartile range = higher quartile - lower quartile
= 80-25
=55