Question

for a given data 2,3,5,6,9 if observation 6.9 are replaced by 4 and 11 will there be any changes in the value​

Answer 1

Answer:

No change in Mean & Mode

Median & Range Changes

Step-by-step explanation:

Earlier data 2,3,5,6,9

total number = 5

Mean = (2 + 3 + 5 + 6 + 9) / 5 = 25/5 = 5

Data already in ascending order

Median = 5   ( middle term = (5+1)/2 =3rd Term)

Mode = Does not exist as no term is repeated

Range = 9 -2 = 7 ( Largest number - Smallest Number)

Changed Data

2 ,3 5 , 4 , 11

Arrange in ascending order

2 , 3 , 4 , 5 , 11

Total Numbers = 5

Mean = (2 + 3 + 4 + 5 + 11)/5 = 25/5 = 5

So no change in value of Mean

Median = 4 ( middle term = (5+1)/2 =3rd Term)

Median changed from 5 to 4

Mode = Does not exist as no term is repeated

So no change in mode

Range = 11 -2 = 9 ( Largest number - Smallest Number)

Range changed from 7 to 9

Answer 2

Answer:

hope it's helpful to you