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A large set of test scores has a mean 60 and a standard deviation of 18 If each score is doubled, and then 5 is subtracted from the result, the mean and standard deviation of the new scores are

(a)mean115;std.dev.31.(d)mean120;std.dev.31.(b)mean115;std.dev.36.(e)mean120;std.dev.36.(c)mean120;std.dev.6.

Short Answer

Expert verified

The correct option is (b)mean115;std.dev

Step by step solution

01

Given information

The following information is given in a large set of test scores-

Mean =60

Standard Deviation =18

02

Concept

The most fundamental and often used way of computing a mean or average is the arithmetic mean.

03

Calculation

If you double each score and then remove 5 from the total, you get: Newmean=2605=115

Multiplying the standard deviation by two and removing five do not affect the standard deviation.

As a result, we have-

New standard deviation 218=36

Hence the mean 115; std. dev.36

Option b) is correct.

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