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Two data sets S and R are defined as follows: Data set S: 2
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06 May 2019, 04:43
06 May 2019, 04:43
Expert Reply
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82% (00:50) correct
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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
By how much is the median of data set S greater than the median of data set R?
(A) 5
(B) 6
(C) 7
(D) 8
(E) 9
Data set S: 28, 30, 25, 28, 27
Data set R: 22, 19, 15, 17, 21, 25
By how much is the median of data set S greater than the median of data set R?
(A) 5
(B) 6
(C) 7
(D) 8
(E) 9
Re: Two data sets S and R are defined as follows: Data set S: 2
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16 Apr 2020, 02:39
16 Apr 2020, 02:39
Expert Reply
Rearranging the data points in each set so that they are in ascending order, we have:
Data set S: 25, 27, 28, 28, 30
Data set R: 15, 17, 19, 21, 22, 25
Thus, we see that the median of set S is 28 and the median of set R is (19 + 21)/2 = 40/2 = 20.
So the median of Set S is 8 more than the median of set R.
D is the answer
Data set S: 25, 27, 28, 28, 30
Data set R: 15, 17, 19, 21, 22, 25
Thus, we see that the median of set S is 28 and the median of set R is (19 + 21)/2 = 40/2 = 20.
So the median of Set S is 8 more than the median of set R.
D is the answer
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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
04 Aug 2022, 23:34
1
Theory
Two data sets S and R are defined as follows
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
- ➡ 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
