Question

If the standard deviation for x, y, z is p then the standard deviation of 3x+5, 3y+5, 3z+5 is​

Answer 1

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If the standard deviation for x, y, z is p then the standard deviation of 3x+5, 3y+5, 3z+5 is​

$\bf\blue{AnsweR:-}$

It is already given that the standard deviation of x, y & z is p.

We need to find the standard deviation of  

3x+5 , 3y+5 &  3z+5 .

• Here each values are added by a constant 5.

• In this case there is no change in the standard deviation.

• Coz, If each values are added by a constant, then there will be no change in the standard deviation.

• But note that,

• All the values are multiplied by 3.

• If each values are multiplied by a number then standard deviation also must be multipled by that same number.

If so, here,

Standard deviation must be multipled by 3.

Thus ;

Standard deviation of  3x+5 , 3y+5 &  3z+5  is 3 × p = 3p.

$\huge{\boxed{\bf{Standard\:deviation=3p}}}}}}$

Happy Learning !!♥

Answer 2

Step-by-step explanation:

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