Minimum value = 3 , Q₁ = 7.5 , Median = 10 , Q₃ = 13 and maximum value = 16 of the given data set.
What are Quartiles?
" Quartiles is the set of value which divides the whole set of data into four equal parts."
According to the question,
Minimum value of the given data set = 3
n = number of data set
First arrange the data in ascending order
3,4,6,7,8,9,10,10,12,12,13,13,15,16
Quartiles
Q₁ = [ (n+1)/4]th term
= 14 +1 / 4
= 3.75th term
= 3th term + 0.75 ( 4th term - 3th term)
= 6 + 0.75 (7 -6)
= 6.75
As n is even,
Median = (N/2)th term
= 14 /2
= 7th term
= 10
Q₃ = [3(n+1)/4]th term
= 3 × 3.75
= 11.25
= 11th term +0.25( 12th term - 11th term)
= 13 + 0.25 (13 -13)
= 13
Maximum value = 16
Hence, Minimum value = 3 , Q₁ = 7.5 , Median = 10 , Q₃ = 13 and maximum value = 16 of the given data set.
Learn more about Quartiles here
https://brainly.com/question/27504751
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