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Mathematics - Statistics

Practise 12 KCET previous year questions on Statistics, compiled from papers spanning 2014 to 2026. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty KCET tests.

Statistics has been asked in 12 of the 20 years of KCET papers analysed (2007–2026), with 12 questions in all. 75% of them were easy, 25% moderate and 0% tough. Most of its questions came from 2026, with 1 question that year. In the last three years (2024–2026) it had 3 questions across 3 papers, about 1 per paper.

The chapter's 4 topics are not weighted equally: Measures of Dispersion (5 questions, 42%), Relation Between Variance and Mean Deviation (4 questions, 33%), and Mean Square Deviation (2 questions, 17%) have been asked the most. Measures of Dispersion has also led over the last five years, with 3 questions.

  1. 1The mean and standard deviation of items are and , respectively then the sum of all squares of the items is2026Mean
  2. 2The mean deviation about the mean for the date is2025Measures of Dispersion
  3. 3Let and be the observations with mean and standard deviation . The standard deviation of the observations , and is2024Measures of Dispersion
  4. 4The mean of 100 observations is 50 and their standard deviation is 5 . Then, the sum of squares of all observations is2023Measures of Dispersion
  5. 5If the standard deviation of the numbers -1 , is where , then is equal to2022Relation Between Variance and Mean Deviation
  6. 6The standard deviation of the numbers 31 , is2021Mean Square Deviation
  7. 7If the parabola passes through the point , then the length of the latus rectum is2020Mean Square Deviation
  8. 8Mean and standard deviation of \( 100 \) items are \( 50 \) and \( 4 \) respectively. The sum of all squares of the items is2019Relation Between Variance and Mean Deviation
  9. 9The plane \( 2 x-3 y+6 z-11=0 \) makes an angle \( ^{-1}( ) \) with \( X \)-axis. The value of a is equal to2017Measures of Dispersion
  10. 10The coefficient of variation of two distributions are \( 60 \) and \( 70 \). The standard deviation are \( 21 \) and \( 16 \) respectively, 2016Relation Between Variance and Mean Deviation
  11. 11A balloon which always remains spherical is being inflated by pumping in \( 10 \) cubic centimeters of gas per second. Find the rate at whic2015Relation Between Variance and Mean Deviation
  12. 12If linear function \( f(x) \) and \( g(x) \) satisfy \( [(3 x-1) x+(1-2 x) x] d x=f(x) x+g(x) x+C \), then2014Measures of Dispersion

Frequently Asked Questions

1.How many questions are available for Statistics?

This chapter includes 12 questions compiled from KCET papers spanning 2014 to 2026.

2.Are these questions only from KCET, or from other exams too?

These are KCET questions specifically for the Statistics chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.

3.Is Statistics an important chapter for KCET Mathematics?

Statistics has appeared in 12 of the 20 years of KCET papers covered here, with 12 questions across 12 papers - about one per paper it appears in.

4.What is the difficulty level of Statistics questions in KCET?

Of the 12 questions analysed for this chapter, 75% are easy, 25% moderate and 0% tough. 2026 had the most, with 1 question.

5.Which topics in Statistics should I focus on?

These topics have carried the most weightage in Statistics:

  • Measures of Dispersion - 5 questions (42%)
  • Relation Between Variance and Mean Deviation - 4 questions (33%)
  • Mean Square Deviation - 2 questions (17%)
6.Is Statistics's weightage in KCET going up or down?

Across all 12 papers analysed, Statistics has averaged about 1.0 questions per paper. In the last three years (2024–2026), that average has stayed about the same, at about 1.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.