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
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