Question

Suppose the coverage score on a national test is 500 with a standard deviation of 100. if each score is increased by 25, what are the new mean and standard deviation?

Answer 1

The new man's age would be 525, however the standard deviation would remain the same.

What is standard deviation?

The Standard Deviation measures how evenly distributed numbers are. It has the sign (a Greek letter sigma) and the calculation is simple: it's the variance as a square root.

The average national test score is 500, for a standard deviation = 100.

Each score has been boosted by 25 points.

Let y = x + 25

where x is the old mean & y is the new score

E(x) = 500  and standard deviation (x) = 100 (given)

E(y) = E(x + 25)

     = E(x) + 25

     = 500 + 25

     = 525

Variable (y) = Variable (x + 25)

                  = Variable (x)

As, √variance y = √variance x

standard deviation(y) = standard deviation(x)

                                   = 100

Therefore, the new standard deviation is same as the old one.

To know more about standard deviation, here

brainly.com/question/26941429

#SPJ4