The difference between 3rd quartile and median is 4.5
What is median?
The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average.
What is median formula?
median formula :
If the number of observations is odd use median formula:
Median = [(n + 1)/2]th term.
If the number of observations is even use median formula:
Median = [(n/2)th term + (n/2 + 1)th term]/2.
What is quartile ?
A quartile is a statistical term that describes a division of observations into four defined intervals based on the values of the data and how they compare to the entire set of observations.
What is quartile formula?
When the set of observations are arranged in ascending order the quartiles are represented as, First Quartile(Q1) = ((n + 1)/4)th Term.
Second Quartile(Q2) = ((n + 1)/2)th Term.
Third Quartile(Q3) = (3(n + 1)/4)th Term.
According to question our data is sorted which is
10,12,14,16,18,20,22,24
Number of terms (n) = 8 (which is even )
Median = [(n/2)th term + (n/2 + 1)th term]/2.
= [(8/2)th term + (8/2 + 1)th term]/2.
= [(4th term) + (5th term)]/2.
= [16+ 18]/2.
= 17
Third Quartile(Q3) = (3(n + 1)/4)th Term
= (3(8+ 1)/4)th Term
= (27/4)th Term
= 6.75th Term (6th term + 0.75 of difference between 2 terms )
= 21.5
Difference between Third Quartile and median
= 21.5 -17
= 4.5
Hence, the difference between 3rd quartile and median is 4.5
To know more about quartile and median here :
https://brainly.com/question/23444910
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