Question

69. If all the observations are decreased by 4, find the relation between new SD and old SD​

Answer 1

Answer:

the ans of your question is -20

Answer 2

Given

• all the observations are decreased by 4

To find

• the relation between new SD and old SD

Solution

we are provided with the observation and is given that each observation is reduced by 4,which means that there is a change of scale.

But standard deviation measures the deviation between observation which remains unaffected by the equal reduction in values, ie, 4.

Therefore, the standard deviation before the reduction and after the reduction remains same.In other words,

old standard deviation is equal to new standard deviation.

Hence, the relation between old and new standard deviation is "="

or, new SD = old SD