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Mathematics → Statistics → Statistics Multiple Choice Questions

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**16.** Which of the following statement is true about the following two data sets?

**Data Set 1:** 4, 3, 5, 7, 6

**Data Set 2:** 2, 10, 1, 9, 3

(A) mean and variance are equal

(B) mean and variance are not equal

(C) mean is equal but variance is not

(D) variance is equal but mean is not

**17.** If an experiment is repeated independently for a large number of times, it converges to a/an

(A) expected value

(B) variance – mean

(C) normal distribution

(D) uniform distribution

**18.** Which statistical method is used to estimate the relationship between two variables?

(A) Correlation

(B) Regression

(C) Covariance

(D) ANOVA

**19.** The value of R^{2}, the coefficient of determination, is always between

(A) 0 and 1, including 0 and 1

(B) 0 and 1, excluding 0 and 1

(C) –1 and 1, including –1 and 1

(D) –1 and 1, excluding –1 and 1

**ANSWERS: STATISTICS MULTIPLE CHOICE QUESTIONS**

16. (C) mean is equal but variance is not

17. (A) expected value

18. (B) Regression

19. (A) 0 and 1, including 0 and 1

**SOLUTIONS: STATISTICS MULTIPLE CHOICE QUESTIONS**

**16.** Here, Mean(Data1)=5, Mean(Data2)=5. But, Var(Data1)=2.5, Var(Data2)=17.5

**17.** If an experiment is repeated independently for a large number of times, it converges to a fixed number/ expected value/ expected distribution.