SSC CGL 2024 Tier 2 Paper 2 (Statistics) Question Paper – 19 Jan 2025 (with Solutions)

SSC CGL 2024 Tier 2 Statistics Question Paper 19 Jan 2025 with Solutions

This is the actual SSC CGL 2024 Tier 2 Paper 2 (Statistics) question paper from 19 January 2025, for SSC CGL aspirants who have opted for Statistics and are in their final revision stage. It covers probability distributions, design of experiments, time series, index numbers, skewness and regression. Aptitude360 provides worked solutions for most questions.

Topics in the SSC CGL Tier 2 Statistics paper of 19 Jan 2025

• Joint probability density functions of bivariate random variables and finding the normalising constant
• Binomial and normal distributions: central moments, median and mean deviation
• Analysis of variance for one-way and two-way classification, completely randomised design, ANCOVA and Duncan's Multiple Range Test
• Time series: seasonal variation, free-hand curve trend method and link relatives for monthly data
• Measures of skewness and kurtosis, including Bowley's coefficient and quartile deviation
• Correlation, regression lines and multiple correlation
• Index numbers: simple aggregate, Laspeyres, Paasche and Fisher's ideal index
• Sampling and inference: confidence intervals, Type I error, level of significance and the t-test for equal means

Key statistics formulas to revise

• Bowley's coefficient of skewness: \( S_{k}=\dfrac{Q_{3}+Q_{1}-2M_{d}}{Q_{3}-Q_{1}} \)
• Quartile deviation: \( QD=\dfrac{Q_{3}-Q_{1}}{2} \)
• Fisher's ideal index: \( P_{F}=\sqrt{P_{L}\times P_{P}} \)
• Binomial mean and variance: \( \mu=np,\ \sigma^{2}=npq \)
• Correlation from regression coefficients: \( r=\pm\sqrt{b_{yx}\times b_{xy}} \)

How to prepare for Statistics questions like these

• Practise integrating joint density functions over their full range so that the total probability equals one
• Write out the degrees of freedom for each ANOVA design until the splits come without thinking
• Learn which skewness measures are absolute and which are relative, and the cases where each is used
• Remember that the correlation coefficient takes the common sign of the two regression coefficients

Who should practise this Statistics PYQ

This paper suits SSC CGL candidates targeting posts that need the Statistics paper and who want to check full-syllabus readiness against a real past paper.