The interquartile range for Group A employees is 1 more than the interquartile range for Group B students is true.
Given
Data represented as a number of hours spent studying by Group A Students:
1, 2, 1, 1, 3, 3, 2, 2, 3
Arranging it in ascending order: 1, 1, 1 ,2, 2, 2, 3, 3, 3,
As a number of terms are odd,
The median will be the middle value of observation.
Which is 2.
<h2>What is the interquartile range?</h2>
The interquartile range (IQR) is the range of values that resides in the middle of the scores.
The Data arranged in ascending order are; (1,1,1,2,2,2,3,3,3).
Median of (1, 1, 1, 2) = 1
Median of (2, 3, 3, 3) =3
Interquartile Range = = 3- 1 =2
For Data Set 2,
The Data for group B students are: 3 2 3 2 2 2 1 1 2
Arranging in ascending order: 1,1,2,2,2,2,2,3,3
The total number of observations = 9
Median = 2
Arranging the data as : (1,1,2,2) 2,(2,2,3,3)
Median of (1,1,2,2)= Number of observations is 4 which is even;
Median of (2,2,3,3) =
S = Interquartile Range =
The interquartile range for Group A Students =Interquartile range for Group B students + 1.
Hence, the interquartile range for Group A employees is 1 more than the interquartile range for Group B students is true.
To know more about interquartile range click the link given below.
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