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Re: Two data sets S and R are defined as follows: Data set S: 2
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04 Aug 2022, 23:34
1
Theory
➡ Median is the middle value of the set. ➡ In case of even number of numbers in the set: Median is the mean of the two middle numbers (after the numbers are arranged in the increasing / decreasing order) ➡ In case of odd number of numbers in the set: Median is the middle number (after the numbers are arranged in increasing/ decreasing order)
Two data sets S and R are defined as follows
Data set S: 28, 30, 25, 28, 27 Data set R: 22, 19, 15, 17, 21, 25
Median of Set S
Arranging the number is ascending order we get
Data set S: 25, 27, 28, 28, 30
Since, there are 5 value so Median = Middle Term = \(\frac{5+1}{2}\) term = \(3^{rd}\) term = 28
Median of Set R
Arranging the number is ascending order we get
Data set R: 15, 17, 19, 21, 22, 25
Since, there are 6 value so Median = Mean of the two middle numbers = \(\frac{19+21}{2}\) = \(\frac{40}{2}\) = 20
How much is the median of data set S greater than the median of data set R
=> Median of Set S - Median of Set R = 28 - 20 = 8
So, Answer will be D. Hope it helps!
Watch the following video to Learn the Basics of Statistics