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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
https://brainly.com/question/26941429
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