Which pair of numbers, if included in this set, would not change the median?
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Answer:
A)
Step-by-step explanation:
Order the set first
27, 28, 35, 37, 43, 47
Median now is: 36 (which is the mean between 35 and 37, the two central numbers )
If you add A) 35,50 then you will still have to compute the mean between 35 and 37 in order to find the median, because you have:
27,28,35,35,37,43,47,50
Answer:
Option A
Step-by-step explanation:
Given set is first arranged in ascending order
So, { 27, 28, 35, 37, 43, 47}
The numbers of observations (n) = 6
Since n is an even no.
Median =
[tex] \frac{ { \frac{n}{2} }^{th} + { \: (\frac{n}{2} + 1)}^{th} observation}{2} [/tex]
[tex] \frac{ {3}^{th} + {4}^{th} }{2} [/tex]
[tex] = \frac{35 + 37}{2} = 36 [/tex]
If we take the pair (35, 50)
and arrange them in the set
{ 27, 28, 35, 35,37, 43, 47,50}
No.s of observations = 8
So, Median=
[tex] \frac{ {4}^{th} + {5}^{th} }{2} [/tex]
[tex] = \frac{35 + 37}{2} = 36[/tex]