Most Expected Statistics MCQs with Solutions for SSC JSO Tier 2

The SSC CGL Tier 2 Junior Statistical Officer Paper tests candidates’ knowledge of statistics through concept-based and formula-driven questions. To help aspirants prepare effectively, we’ve compiled 100 most expected Statistics MCQs with solutions based on previous year papers, latest exam trends, and important topics from the syllabus. These questions will help you practice key areas like Probability, Correlation, Regression, Sampling, Index Numbers, and Time Series Analysis, all important for scoring high in the JSO paper.

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SSC CGL Tier 2 JSO Paper, 100 Most Expected Statistics MCQs with Solutions

Practicing multiple-choice questions is the most effective way to prepare for the SSC CGL Tier 2 JSO Paper. Here are 40 high-probability statistics MCQs with solutions to help you revise quickly and score well.

1. The mean of 10 numbers is 25. If one number is removed, the mean becomes 24. The number removed is:
   A) 30
   B) 32
   C) 34
   D) 36
   Answer: C) 34
2. Median divides the data into how many equal parts?
   A) 2
   B) 3
   C) 4
   D) 5
   Answer: A) 2
3. Mode is the value which is:
   A) Maximum
   B) Minimum
   C) Most frequent
   D) Average
   Answer: C) Most frequent
4. Coefficient of Variation (CV) is calculated as:
   A) SD × Mean
   B) SD ÷ Mean × 100
   C) Mean ÷ SD × 100
   D) SD + Mean
   Answer: B) SD ÷ Mean × 100
5. A coin is tossed twice. Probability of at least one head?
   A) 1/4
   B) 1/2
   C) 3/4
   D) 1
   Answer: C) 3/4
6. Two dice are thrown. Probability of sum 7?
   A) 1/12
   B) 1/6
   C) 1/8
   D) 1/36
   Answer: B) 1/6
7. Expected value of a random variable X is:
   A) Σx
   B) ΣP(x)
   C) Σx·P(x)
   D) Σx²·P(x)
   Answer: C) Σx·P(x)
8. Correlation coefficient r lies between:
   A) −2 and 2
   B) −1 and 1
   C) 0 and 1
   D) 0 and ∞
   Answer: B) −1 and 1
9. If r = 0.9, correlation is:
   A) Strong negative
   B) Weak positive
   C) Strong positive
   D) No correlation
   Answer: C) Strong positive
10. Regression line of Y on X: Y = a + bX. What is b?
    A) Mean of Y
    B) Intercept
    C) Regression coefficient
    D) SD of X
    Answer: C) Regression coefficient
11. Laspeyres Price Index formula is:
    A) ΣP₁Q₁ / ΣP₀Q₁ × 100
    B) ΣP₁Q₀ / ΣP₀Q₀ × 100
    C) ΣP₀Q₁ / ΣP₁Q₀ × 100
    D) ΣP₀Q₀ / ΣP₁Q₁ × 100
    Answer: B) ΣP₁Q₀ / ΣP₀Q₀ × 100
12. Base year index is always:
    A) 50
    B) 75
    C) 100
    D) 200
    Answer: C) 100
13. Fisher’s Ideal Index is:
    A) Arithmetic mean of Laspeyres and Paasche
    B) Geometric mean of Laspeyres and Paasche
    C) Harmonic mean
    D) Weighted mean
    Answer: B) Geometric mean of Laspeyres and Paasche
14. Objective of sampling is:
    A) Measure population exactly
    B) Estimate population parameters from a subset
    C) Reduce data
    D) Increase sample size
    Answer: B) Estimate population parameters from a subset
15. Simple random sample means:
    A) Equal probability for all items
    B) Select first n items
    C) Systematic selection
    D) Stratified selection
    Answer: A) Equal probability for all items
16. Standard error of mean decreases when:
    A) Sample size increases
    B) Sample size decreases
    C) Population size decreases
    D) Population size increases
    Answer: A) Sample size increases
17. Components of time series include:
    A) Trend, Seasonal, Cyclical, Irregular
    B) Mean, Mode, Median
    C) Variance, SD, CV
    D) Probability, Randomness, Mean
    Answer: A) Trend, Seasonal, Cyclical, Irregular
18. Method of least squares is used to:
    A) Find mean
    B) Draw histogram
    C) Fit trend line
    D) Calculate variance
    Answer: C) Fit trend line
19. Moving averages help to:
    A) Identify irregularities
    B) Smooth short-term fluctuations
    C) Calculate SD
    D) Rank data
    Answer: B) Smooth short-term fluctuations
20. In binomial distribution, mean = np, variance =?
    A) np
    B) npq
    C) n²p²
    D) √npq
    Answer: B) npq
21. For Poisson distribution, mean and variance are:
    A) Equal
    B) Not equal
    C) Mean > Variance
    D) Variance > Mean
    Answer: A) Equal
22. Normal distribution curve is:
    A) Skewed left
    B) Skewed right
    C) Symmetrical about mean
    D) Asymmetrical
    Answer: C) Symmetrical about mean
23. Null hypothesis is:
    A) Statement with effect
    B) Statement of no effect
    C) Alternative hypothesis
    D) Statistical error
    Answer: B) Statement of no effect
24. Type I error occurs when:
    A) Null hypothesis rejected wrongly
    B) Null hypothesis accepted rightly
    C) Alternative hypothesis rejected
    D) Alternative hypothesis accepted wrongly
    Answer: A) Null hypothesis rejected wrongly
25. Level of significance denotes:
    A) Probability of Type II error
    B) Probability of Type I error
    C) Power of test
    D) Sample size
    Answer: B) Probability of Type I error
26. Median of {2, 5, 7, 10, 12}?
    A) 5
    B) 7
    C) 10
    D) 12
    Answer: B) 7
27. Mean of {4, 8, 6, 10}?
    A) 6
    B) 7
    C) 8
    D) 9
    Answer: B) 7
28. Standard deviation measures:
    A) Central tendency
    B) Dispersion from mean
    C) Skewness
    D) Kurtosis
    Answer: B) Dispersion from mean
29. Range is:
    A) Difference between max and min
    B) Average of max and min
    C) Sum of all values
    D) Product of max and min
    Answer: A) Difference between max and min
30. Probability of drawing an Ace from a deck of 52 cards?
    A) 1/13
    B) 1/52
    C) 1/4
    D) 1/26
    Answer: A) 1/13
31. Probability of a red card?
    A) 1/4
    B) 1/3
    C) 1/2
    D) 2/3
    Answer: C) 1/2
32. Probability of getting two heads in two coin tosses?
    A) 1/2
    B) 1/4
    C) 1/8
    D) 1
    Answer: B) 1/4
33. If events A and B are independent, P(A ∩ B) = ?
    A) P(A) + P(B)
    B) P(A) × P(B)
    C) P(A) – P(B)
    D) P(A)/P(B)
    Answer: B) P(A) × P(B)
34. Cumulative frequency is:
    A) Frequency in class
    B) Sum of all frequencies up to that class
    C) Average frequency
    D) Maximum frequency
    Answer: B) Sum of all frequencies up to that class
35. Quartiles divide data into:
    A) 2 equal parts
    B) 3 equal parts
    C) 4 equal parts
    D) 5 equal parts
    Answer: C) 4 equal parts
36. Deciles divide data into:
    A) 5 parts
    B) 10 parts
    C) 20 parts
    D) 100 parts
    Answer: B) 10 parts
37. Percentiles divide data into:
    A) 10 parts
    B) 50 parts
    C) 100 parts
    D) 25 parts
    Answer: C) 100 parts
38. Karl Pearson correlation formula is:
    A) Cov(X,Y) / σ_X²
    B) Cov(X,Y) / (σ_X × σ_Y)
    C) ΣX/ΣY
    D) ΣXY
    Answer: B) Cov(X,Y) / (σ_X × σ_Y)
39. Rank correlation uses which coefficient?
    A) Pearson
    B) Spearman
    C) Kendall
    D) Both B & C
    Answer: D) Both B & C
40. Regression coefficient formula: b = ?
    A) Cov(X,Y)/Var(Y)
    B) Cov(X,Y)/Var(X)
    C) Var(X)/Cov(X,Y)
    D) Mean(Y)/Mean(X)
    Answer: B) Cov(X,Y)/Var(X)

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Download the Complete PDF of 100 SSC CGL JSO Statistics MCQs

Get the full PDF containing 100 most expected SSC CGL Tier 2 JSO statistics MCQs with solutions, covering Probability, Correlation & Regression, Measures of Central Tendency, Time Series, Index Numbers, Sampling, and Distributions, so you can practice offline, revise quickly, and strengthen your preparation.

Download 100 SSC CGL JSO Statistics MCQs

CGL JSO Statistics Syllabus 2025

The Statistics syllabus according to the SSC JSO Exam Pattern is divided into key topics that test your conceptual clarity and application skills.

Unit	Topic
1. Collection, Classification & Presentation of Statistical Data	Meaning, types of data, primary & secondary data, frequency distribution, tabulation, diagrammatic representation.
2. Measures of Central Tendency	Mean, Median, Mode, Geometric & Harmonic Mean, Weighted Mean.
3. Measures of Dispersion	Range, Quartile Deviation, Mean Deviation, Standard Deviation, Coefficient of Variation.
4. Moments, Skewness & Kurtosis	Types of moments, coefficient of skewness, coefficient of kurtosis, shape of distribution.
5. Correlation & Regression	Scatter diagrams, Karl Pearson’s coefficient, Spearman’s rank correlation, regression lines, multiple correlation.
6. Probability Theory	Basic definitions, addition & multiplication theorems, conditional probability, Bayes’ theorem.
7. Random Variables & Probability Distributions	Random variables, binomial, Poisson, normal, exponential, and joint distributions.
8. Sampling Theory	Population and sample, sampling techniques, errors, sampling distributions, central limit theorem.
9. Statistical Inference	Estimation, testing of hypotheses, standard errors, t-test, z-test, chi-square test, F-test.
10. Analysis of Variance	One-way classification, Two-way classification
11. Time Series Analysis	Trend determination, Seasonal variation
12. Index Numbers	Construction, Types, Formulae, Uses (e.g., cost of living index)

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SSC CGL JSO Paper Overview

Below are the details of SSC JSO Exam:

Feature	Details
Paper Name	SSC CGL Tier 2 Paper II – Statistics (for JSO)
Mode of Exam	Online (Computer-Based Test)
Total Marks	200
No. of Questions	100
Time Duration	2 Hours
Type of Questions	Objective (MCQs)
Negative Marking	0.50 marks per wrong answer

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