SSC CGL 2023 Tier 2 Paper 2 (Statistics) Question Paper – 27 Oct 2023 (with Solutions)

SSC CGL 2023 Tier 2 Statistics Question Paper: 27 Oct 2023 PYQ

This is the actual SSC CGL 2023 Tier 2 Paper 2 (Statistics) question paper, held on 27 October 2023. It tests descriptive statistics, probability, distributions, sampling, hypothesis testing, index numbers and time series. Aptitude360 presents it with a worked solution for every question.

Topics covered in the CGL Tier 2 Statistics paper

• Descriptive statistics: quartiles, deciles, quartile deviation, coefficient of range, moments about origin and mean
• Skewness and kurtosis: Pearsonian and Bowley's coefficients, absolute measures, platykurtic and normal shapes
• Probability: conditional probability, joint density functions, probability mass functions
• Distributions: Poisson variance, quartiles of a normal variable, binomial form
• Inference: confidence interval width, power of a test, tests of proportion, unbiased estimators, ANOVA
• Index numbers and time series: Laspeyres, Paasche and Fisher indices, base shifting, cost of living index, Pearl-Reed logistic curve, seasonal variation
• Data collection: probability sampling methods, secondary data, roles of tabulation

Key statistics formulas for this paper

• Pearson's skewness: \( S_k=\dfrac{\bar{x}-\text{Mode}}{\sigma} \)
• Bowley's skewness: \( S_k=\dfrac{Q_3+Q_1-2Q_2}{Q_3-Q_1} \)
• Conditional probability: \( P(A\mid B)=\dfrac{P(A\cap B)}{P(B)} \)
• Fisher's ideal index: \( F=\sqrt{L\times P} \)
• Poisson variance: \( \text{Var}(X)=\lambda \)
• Normal first quartile: \( Q_1=\mu-0.6745\,\sigma \)

Revision tips for SSC CGL Statistics

• Learn the conversion between moments about an arbitrary value, the origin and the mean, as raw and central moments are linked by fixed relations.
• Memorise who introduced key terms and techniques, such as analysis of variance, since theory questions test these names directly.
• Compare Laspeyres, Paasche and Fisher indices side by side, noting which period's quantities each one uses as weights.
• Read the order of mean, median and mode to identify the direction of skewness quickly.

Who should solve this Statistics PYQ

SSC CGL aspirants who have chosen Paper 2 (Statistics) for posts such as JSO, and who have finished the syllabus and want a real paper for revision.