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LuckyWell [14K]
1 year ago
10

Suppose the coverage score on a national test is 500 with a standard deviation of 100. if each score is increased by 25, what ar

e the new mean and standard deviation?
Mathematics
1 answer:
Trava [24]1 year ago
8 0

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

<h3>What is standard deviation?</h3>

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

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