Question

2. If y = –2x + 5 and standard deviation of x is 12, then standard deviation of y is​

Answer 1

Answer:

25

Explanation:

y=-2x12+15

y=10+15

y=25

Answer 2

The standard deviation of 'y' is equal to -24.

Given:

The standard deviation of 'x' is 12.

y = -2x + 5

To Find:

The standard deviation of 'y'.

Solution:

→ The following are the basic rules of Standard deviation (σ):

(i) σ[c×f(x)] = c×σ[f(x)]

(ii) σ[f(x) + g(x)] = σ[f(x)] + σ[g(x)]

→ In the given question: y = -2x + 5

→ Applying standard deviations on both sides, we get:

   ∴ σ(y) = σ(-2x) + σ(5)

   ∴ σ(y) = -2σ(x) + 0

   ∴ σ(y) = -2(12) = -24

The standard deviation of 'y' comes out to be equal to -24.

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