### MCQs on Statistics

1. The normal curve in a distribution is

(i) Symmetrical, bell shaped continuously curve
(ii) Asymmetrical, bell shaped continuously curve
(iii) Symmetrical, bell shaped curve which does not touch the ‘X’ axis
(iv) Bell shaped curve

Codes :
(A) (i) and (iv) are correct.
(B) (i) and (iii) are correct.
(C) (ii) and (iv) are correct.
(D) (i) is correct.

2. A subject has a T score (Mean = 50; SD = 10) of 40 on an abstract reasoning test. The corresponding percentile rank would be

(A) 16
(B) 34
(C) 40
(D) 84

3. If the standard deviation of a population is 20 and the standard error of mean is 4, then the sample size is

(A) 100
(B) 80
(C) 5
(D) 25

4. In a multiple regression model, the explained variance per d.f. is 50 and unexplained variance per d.f. is 10. The F-ratio is

(A) 2.5
(B) 5
(C) 25
(D) 0.2

5. Which one of the following is not a random sampling method?

(A) Stratified Sampling
(B) Judgement Sampling
(C) Systematic Sampling
(D) Cluster Sampling

6. Assertion (A): χ2 distribution is a non-parametric distribution.
Reason (R): χ2 is a sample statistic having no corresponding population parameter.

Codes:
(A) Both (A) and (R) are correct and (R) is the correct explanation of (A).
(B) Both (A) and (R) are correct, but (R) is not the correct explanation of (A).
(C) (A) is true, but (R) is false.
(D) Both (A) and (R) are false.

7. In a simple regression analysis of y on x, the standard error of estimate of y on x, Syx = 5, number of observations N is 30, and ∑ y2 = 2000. The unexplained variance is

(A) 1500
(B) 750
(C) 500
(D) 250

8. Two normal populations have variances σ21 = 10 and σ22 = 20. Two random samples of sizes 25 and 20, independently selected from these populations have variances of S21 = 8 and S22 = 15, respectively. What is the F(24, 19) statistic?

(A) 1
(B) 2
(C) 2.81
(D) 3.6

9. The events A and B are mutually exclusive. If P (A) = 0.5 and P(B) = 0.2, then what is P(A & B)?

(A) 0.5
(B) 0.7
(C) 0.1
(D) 0.3

10. The rate of variation of population (N) with time (t) represented by equation dN/dt = γ N, follows

(A) J-shaped curve
(B) S-shaped curve
(C) Z-shaped curve
(D) Parabolic curve

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