SSC CGL JSO Statistics Paper, Most Imp Questions & Topic Weightage

The SSC CGL Junior Statistical Officer (JSO) paper is an important part of Paper II of Tier 2, designed to test a candidate’s understanding of applied statistics and data interpretation. If you’re preparing for SSC CGL Tier 2 (Statistics section), knowing the syllabus, weightage, and key topics is important for scoring high.

Also check out Most Repeated Quantitative Aptitude Questions for SSC CGL Tier 2

SSC CGL JSO Most Important Questions

Statistics is a key section in SSC CGL JSO Paper 2. Here are 20 most important questions on topics like Central Tendency, Probability, Correlation, Sampling, Time Series, and Inference, designed at Tier 2 difficulty, with answers for quick practice.

1. If the mean of 5 numbers is 12, and one number is replaced by 20, the new mean becomes 14. Find the number replaced.

A) 6
B) 8
C) 10
D) 12

Answer: B) 8

2. For a continuous random variable XXX with pdf f(x)=kx2f(x) = kx^2f(x)=kx2 for 0≤x≤20 \le x \le 20≤x≤2, find kkk.

A) 1
B) 3/8
C) 2/3
D) 1/4

Answer: B) 3/8

3. The coefficient of skewness (Karl Pearson) for a distribution with mean = 50, median = 47, standard deviation = 4 is:

A) 0.75
B) 0.5
C) 0.25
D) 1

Answer: A) 0.75

4. If two variables X and Y have correlation coefficient 0.8, then the coefficient of determination is:

A) 0.64
B) 0.80
C) 0.36
D) 0.72

Answer: A) 0.64

6. If the variance of X is 16, what is the variance of 3X + 5?

A) 16
B) 48
C) 144
D) 21

Answer: C) 144

7. The Spearman’s rank correlation coefficient between two variables with tied ranks can be calculated using:

A) Pearson correlation formula
B) Difference of ranks formula
C) Regression formula
D) None of these

Answer: B) Difference of ranks formula

8. In a two-way ANOVA with r = 3 rows and c = 4 columns, the degrees of freedom for interaction is:

A) 6
B) 2
C) 8
D) 1

Answer: A) 6

9. A sample of 100 observations has a mean of 50 and SD of 10. The standard error of the mean is:

A) 1
B) 10
C) 0.1
D) 5

Answer: A) 1

11. For a binomial distribution with n = 10 and p = 0.5, variance is:

A) 2.5
B) 5
C) 10
D) 1

Answer: A) 2.5

13. If Q1 = 20, Q3 = 40, median = 30, then Bowley’s coefficient of skewness is:

A) 0
B) 0.2
C) 0.25
D) 0.1

Answer: A) 0

14. In regression analysis, the sum of residuals is:

A) Equal to 1
B) Equal to zero
C) Positive
D) Negative

Answer: B) Equal to zero

18. If a time series has seasonal variation, it can be removed by:

A) Differencing
B) Smoothing
C) Seasonal Index
D) Regression

Answer: C) Seasonal Index

19. If population size N = 1000, sample size n = 100, sampling fraction is:

A) 1%
B) 10%
C) 50%
D) 100%

Answer: B) 10%

20. The Chi-square test is used for:

A) Mean testing
B) Proportion testing
C) Goodness of fit and independence testing
D) Regression

Answer: C) Goodness of fit and independence testing

SSC JSO Topic-wise Weightage (Approximate)

In the SSC CGL/JSO Statistics Paper, different topics carry different marks. Knowing the expected weightage of each topic can help you plan your preparation and focus on high-scoring areas. The table below shows the approximate marks for each important topic in the exam.

Check out Most Repeated Reasoning Questions for SSC CGL Tier 2

TopicExpected Weightage
Measures of Central Tendency & Dispersion10-12 marks
Correlation & Regression10-15 marks
Probability & Probability Distributions15-20 marks
Sampling Theory8-10 marks
Statistical Inference20-25 marks
Time Series & Index Numbers10-15 marks
Moments, Skewness, Kurtosis5-8 marks

SSC 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.

UnitTopic
1. Collection, Classification & Presentation of Statistical DataMeaning, types of data, primary & secondary data, frequency distribution, tabulation, diagrammatic representation.
2. Measures of Central TendencyMean, Median, Mode, Geometric & Harmonic Mean, Weighted Mean.
3. Measures of DispersionRange, Quartile Deviation, Mean Deviation, Standard Deviation, Coefficient of Variation.
4. Moments, Skewness & KurtosisTypes of moments, coefficient of skewness, coefficient of kurtosis, shape of distribution.
5. Correlation & RegressionScatter diagrams, Karl Pearson’s coefficient, Spearman’s rank correlation, regression lines, multiple correlation.
6. Probability TheoryBasic definitions, addition & multiplication theorems, conditional probability, Bayes’ theorem.
7. Random Variables & Probability DistributionsRandom variables, binomial, Poisson, normal, exponential, and joint distributions.
8. Sampling TheoryPopulation and sample, sampling techniques, errors, sampling distributions, central limit theorem.
9. Statistical InferenceEstimation, testing of hypotheses, standard errors, t-test, z-test, chi-square test, F-test.
10. Analysis of VarianceOne-way classification, Two-way classification
11. Time Series AnalysisTrend determination, Seasonal variation
12. Index NumbersConstruction, Types, Formulae, Uses (e.g., cost of living index)

Check out Most Repeated Computer Awareness Questions for SSC CGL Tier 2

SSC CGL JSO Paper Overview

Below are the details of SSC JSO Exam:

FeatureDetails
Paper NameSSC CGL Tier 2 Paper II – Statistics (for JSO)
Mode of ExamOnline (Computer-Based Test)
Total Marks200
No. of Questions100
Time Duration2 Hours
Type of QuestionsObjective (MCQs)
Negative Marking0.50 marks per wrong answer

Also check out Most Repeated Quantitative Aptitude Questions for SSC CGL Tier 2

Key Takeaways

Below are the key takeaways:

  • SSC CGL JSO Paper tests statistical application and reasoning, not memorization.
  • Understanding concepts + practicing numericals = high score.
  • Weightage is higher for Probability, Inference, and Correlation.
  • Keep a formula sheet handy for last-minute revision.

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FAQs

Q1. How many questions and marks are there in the SSC JSO Paper?

The paper has 100 objective (MCQ) questions carrying 200 marks. The exam duration is 2 hours, and there is a 0.5 mark negative marking for each wrong answer.

Q2. What is the syllabus for SSC CGL JSO 2025?

The syllabus includes Collection & Presentation of Data, Measures of Central Tendency & Dispersion, Moments, Skewness & Kurtosis, Correlation & Regression, Probability, Probability Distributions, Sampling Theory, Statistical Inference, Time Series, and Index Numbers.

Q3. How should I prepare for SSC JSO 2025?

Focus on conceptual clarity, practicing numerical problems, and maintaining a formula sheet for quick revision. Topics like Probability, Inference, and Correlation carry higher weight, so prioritize them.

Q4. Is the SSC JSO Paper only about memorizing formulas?

No. The paper tests application of statistics and reasoning. Understanding concepts and solving practical problems is key to scoring well.

Q5. Are there recommended books for SSC JSO preparation?

Yes, refer to standard books for Statistics, Probability, and Data Interpretation. Practicing previous year papers and mock tests is highly recommended.