- The full meaning of IQR is Interquartile Range
- The formula to find the Interquartile range is given as:
Interquartile range = Third Quartile (Q3) - First Quartile(Q1)
- Data set given in the question: 4,6,8,10,12,14,16,18
- Step 1: Find the First Quartile of the given Data
The formula for First quartile (Q1) = 1/4 (n + 1)th term
n = Number of terms of the given data set = 8
Q1 = 1/4(8 + 1) th term
Q1 = 1/4(9)th term
Q1 = 2.5th term
This means the value for Q falls between the 2nd and 3rd term
2nd term = 6
3rd term = 8
Q1 = (6 + 8)/2
= 14/2
= 7
- Step 2: Find the Third Quartile of the given Data
The formula for First quartile (Q3) =
3/4 (n + 1)th term
n = Number of terms of the given data set = 8
Q1 = 3/4(8 + 1) th term
Q1 = 3/4(9)th term
Q1 = 6.75th term
This means the value for Q3 falls between the 6th and 7th term
6th term = 14
7th term = 16
Q3 = (14 + 16)/2
= 30/2
= 15
Interquartile range = Third Quartile (Q3) - First Quartile(Q1)
= 15 - 7
= 8
Therefore, IQR = 8
To learn more, please visit the link below:
https://brainly.com/question/10751013
