Question

If 26 is removed from the data 20, 24, 25, 26, 27, 28, 29, 30 then the median increases by
(i) 2
(ii) 1.5
(3) 0.5
(4) 1​

Answer 1

Answer:       4

Step-by-step explanation:

Answer 2

The new median is increases by 1

Step-by-step explanation:

Given data is 20, 24, 25, 26, 27, 28, 29, 30

To find the median is increases by what number when 26 is removed from data :

• Since the given data is even
• $Median=\frac{sum of 2 middle numbers}{2}$
• For the given data the median is
• $Median=\frac{26+27}{2}$
• $=\frac{53}{2}$
• $=26.5$

Therefore the median for the given data is 26.5

• If 26 is removed from the given data then the given data becomes 20, 24, 25, 27, 28, 29, 30
• Since the new data set is odd
• So that we have to take the middle value as the median
• Therefore 27 is the median

Median=27

Hence the new median is increases by 1

Therefore option 4) 1 is correct