Question

12. If two groups of numbers have the same mean, then a. their standard deviations must...

12. If two groups of numbers have the same mean, then

a. their standard deviations must also be equal

b. their modes must also be equal

c. their medians must also be equal

d. None of the alternatives is correct

Homework Answers

Answer #1

From the given information,

Step-by-step explanation:

If two groups of numbers have the same mean, then

it is not compulsary that their standard deviations, medians and modes must also be equal

One of the most common tests in statistics, the t-test, is used to determine whether the means of two groups are equal to each other. The assumption for the test is that both groups are sampled from normal distributions with equal variances.

hence ,

option (d) is correct with required correct answer
None of the above alternatives correct.

Thank you.

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