Question

Which pair of numbers, if included in this set, would not change the median?

Answer 1

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 2

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 =

$\frac{ { \frac{n}{2} }^{th} + { \: (\frac{n}{2} + 1)}^{th} observation}{2}$

$\frac{ {3}^{th} + {4}^{th} }{2}$

$= \frac{35 + 37}{2} = 36$

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=

$\frac{ {4}^{th} + {5}^{th} }{2}$

$= \frac{35 + 37}{2} = 36$