Respuesta :
Answer:
The inter quartile range is 55
Step-by-step explanation:
Interquartile range:-
Definition:-
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
[tex]({\frac{n+1}{2} })^{th}[/tex]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 [tex]({\frac{n}{2} })^{th}[/tex]
[tex]({\frac{n+1}{2} })^{th}[/tex]
In given data the number of observations is '4'(even)
If the number of observations is even, then the median is [tex]({\frac{n}{2} })^{th}[/tex]
[tex]({\frac{n+1}{2} })^{th}[/tex]
median is [tex]({\frac{4}{2} })^{th}[/tex] is 2 observations and [tex]({\frac{4+1}{2} })^{th}[/tex] 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
Step:3
Interquartile range = higher quartile - lower quartile
= 80-25
=55
