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steposvetlana [31]
3 years ago
9

A sample of 30 distance scores measured in yards has a mean of 7, a variance of 16, and a standard deviation of 4. You want to c

onvert all your distances from yards to feet, so you multiply each score in the sample by 3. What are the new mean, median, variance, and standard deviation?
Mathematics
1 answer:
Nikolay [14]3 years ago
4 0

Answer:

21, 144, 12

Step-by-step explanation:

Given that a sample of 30 distance scores measured in yards has a mean of 7, a variance of 16, and a standard deviation of 4.

Let X be the distance in yard.

i.e. each entry of x is multiplied by 3.

New mean variance std devition would be

E(3x) = 3E(x) = 21

Var (3x) = 3^2 Var(x) = 9(16) =144

Std dev (3x) = \sqrt{144 } =12

Thus we find mean and std devition get multiplied by 3, variance is multiplied by 9

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