APDCL AAO: Statistics - FREE Mock Test

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APDCL AAO Statistics Mock Test - 02

APDCL AAO: Statistics - FREE Mock Test 

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• APDCL AAO Free Mock Test - 01 | APDCL & Power Ministry of India
• Complete Syllabus for APDCL AAO Exam 2025 | Download APDCL Download

1. Which hypothesis is assumed to be true until proven otherwise?

Alternative hypothesis Null hypothesis Research hypothesis Composite hypothesis

2. Which probability distribution is symmetric about its mean?

Binomial distribution Poisson distribution Normal distribution Exponential distribution

3. What is the range of the correlation coefficient?

0 to 1 -1 to 0 0 to ∞ -1 to 1

4. Which statistical method is used to predict the value of one variable based on another?

Regression Correlation Chi-square test ANOVA

5. What is the relationship between variance and standard deviation?

Variance is square of SD SD is cube root of variance SD is square root of variance No direct relationship

6. Which measure of central tendency is most affected by extreme values?

Median Mean Mode Quartile

7. What is the probability of rejecting a true null hypothesis called?

Type I error Type II error Power of test Confidence level

8. What does R² (R-squared) represent in regression analysis?

Correlation coefficient Standard error Coefficient of determination Slope of regression line

9. Which sampling method ensures equal probability of selection for all population members?

Systematic sampling Stratified sampling Cluster sampling Simple random sampling

10. Which index number uses base year quantities as weights?

Laspeyres Paasche Fisher's ideal Marshall-Edgeworth

11. If P(A) = 0.4 and P(B) = 0.5 (independent events), what is P(A and B)?

0.9 0.2 0.02 0.45

12. If mean > median > mode, the distribution is:

Symmetric Left-skewed Right-skewed Normal

13. A 95% confidence interval means:

95% of data in range 5% chance of error 95% probability interval contains parameter 95% of sample means

14. Which is a non-parametric test?

t-test ANOVA Mann-Whitney U Z-test

15. According to Chebyshev's theorem, what percentage of data lies within 2 standard deviations?

At least 75% Exactly 95% Approximately 68% At most 25%

16. In Poisson distribution, the parameter λ represents:

Mean and variance Probability of success Number of trials Standard deviation

17. For a 3×4 contingency table, chi-square test degrees of freedom?

12 7 6 11

18. Which formula represents Bayes' theorem?

P(A|B) = [P(B|A)P(A)]/P(B) P(A∩B) = P(A)+P(B) P(A) = 1 - P(A') P(A∪B) = P(A)+P(B)-P(A∩B)

19. What does ANOVA test?

Difference between 3+ means Difference between variances Correlation between variables Regression coefficients

20. Which average is most appropriate for growth rates?

Arithmetic mean Harmonic mean Geometric mean Median

21. Which sampling method uses naturally occurring groups?

Stratified Cluster Systematic Quota

22. What does a z-score of 1.5 indicate?

Below 50th percentile Exactly 1 SD above mean At the median 1.5 SDs above mean

23. Which measure describes peakness/flatness of distribution?

Skewness Variance Kurtosis Range

24. What is the key difference between census and survey?

Population vs sample Government vs private Manual vs digital Primary vs secondary

25. Formula for standard error of mean?

σ/n σ²/n σ/√n √(σ/n)

26. Which graph displays five-number summary?

Histogram Pie chart Scatter plot Box plot

27. Which law explains convergence of sample means to population mean?

Central Limit Theorem Law of Large Numbers Bayes' Theorem Empirical Rule

28. What is the mode of: 5, 7, 3, 7, 2, 9, 7?

5 9 7 3

29. What does p-value represent?

Probability H₀ is true Probability H₁ is false Effect size Strength against H₀

30. Which data type is recorded sequentially over time?

Time series Cross-sectional Panel data Categorical

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