Question

Suppose SD(x) = 8.2 then SD(x + 5) = a, SD(5x) = b. Find a, b.​

Answer 1

Step-by-step explanation:

Since , given Standard deviation of x = 10

⟹ var(x) = 102 = 100

So, variance (50 + 5x) = variance(5x) = 52var(x)=52×100=2500

*Note* :- variance is independent of change of origin but not of scale .

⟹ Standard deviation (x) = 2500−−−−√ = 50.

That's it,

Thank

Answer 2

Answer:

hope helps

Step-by-step explanation:

x = 10

⟹ var(x) = 102 = 100

So, variance (50 + 5x) = variance(5x) = 52var(x)=52×100=2500

*Note* :- variance is independent of change of origin but not of scale .

⟹ Standard deviation (x) = 2500−−−−√ = 50.