Jump to a section

Mathematics - Statistics

Practise 57 MHTCET previous year questions on Statistics, compiled from papers spanning 2020 to 2024. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty MHTCET tests.

Statistics has been asked in 5 of the 17 years of MHTCET papers analysed (2007–2026), with 57 questions in all. 67% of them were easy, 26% moderate and 7% tough. Most of its questions came from 2024, with 18 questions that year. In the last three years (2024–2026) it had 18 questions across 59 papers, about 0.3 per paper.

The chapter's 6 topics are not weighted equally: Measures of Dispersion (23 questions, 40%), Relation Between Variance and Mean Deviation (16 questions, 28%), and Mean (7 questions, 12%) have been asked the most. Over the last five years the most frequent topics have been Relation Between Variance and Mean Deviation (14), Measures of Dispersion (12), and Mean (7). Measures of Dispersion has produced the most tough questions (2).

  1. 1If the sum of the deviations of 50 observations from 30 is 50 , then the mean of these observations is16 May, 2024 (M)Mean
  2. 2A box contains 15 green and 10 yellow balls. If 10 balls are randomly drawn, one by one, with replacement, then the variance of the number o16 May, 2024 (M)Relation Between Variance and Mean Deviation
  3. 3The mean and variance of seven observations are 8 and 16 respectively. If five of the observations are , then the product of remaining two o16 May, 2024 (E)Mean
  4. 4The mean of the numbers is 6 and the variance is . Then which of the following gives possible values of and ?15 May, 2024 (M)Mean
  5. 5Variance of first n natural numbers is .15 May, 2024 (E)Mean Square Deviation
  6. 6In an experiment with 15 observations for , the following results were available . One observation 20 was found to be wrong and was replaced11 May, 2024 (M)Measures of Dispersion
  7. 7If for some , the frequency distribution of the marks obtained by 20 students in a test is, then the mean of the marks is11 May, 2024 (E)Measures of Dispersion
  8. 8Mean and variance of six observations are 6 and 12 respectively. If each observation is multiplied by 3 , then new variance of the resulting10 May, 2024 (M)Measures of Dispersion
  9. 9The mean and variance of 7 observations are 8 and 16 respectively. If first five observations are , then absolute difference of remaining tw10 May, 2024 (E)Measures of Dispersion
  10. 10The mean and the standard deviation of 10 observations are 20 and 2 respectively. Each of these 10 observations is multiplied by p and then 09 May, 2024 (M)Measures of Dispersion
  11. 11The variance of 20 observations is 5. If each observation is multiplied by 3 and then 8 is added to each number, then variance of resulting 09 May, 2024 (E)Measures of Dispersion
  12. 12The variance of first 50 even natural numbers is04 May, 2024 (M)Statistics
  13. 13The mean and variance of seven observations are 8 and 16 respectively. If 5 of the observations are , then the square root of product of rem04 May, 2024 (E)Measures of Dispersion
  14. 14The mean of n observations is . If three observations are added such that mean remains same, then value of n is03 May, 2024 (M)Mean
  15. 15For the probability distribution Then the is (Given :03 May, 2024 (E)Statistics
  16. 16A student scores the following marks in five tests : . His score is not known for the sixth test. If the mean score is 48 in six tests, then03 May, 2024 (E)Statistics
  17. 17The mean of 100 obseryations is 50 and their standard deviation is 5 , then the sum of all squares of all the observations is02 May, 2024 (M)Measures of Dispersion
  18. 18Consider three observations and such that . If the standard deviation of is d, then what holds true.02 May, 2024 (E)Measures of Dispersion
  19. 19The variance of 20 observations is 5 . If each observation is multiplied by 2 , then variance of resulting observations is14 May, 2023 (M)Relation Between Variance and Mean Deviation
  20. 20If both mean and variance of 50 observations are equal to 16 and 256 respectively, then mean of is14 May, 2023 (E)Relation Between Mean, Median and Mode
  21. 21The raw data is an A.P. with common difference and first term and are mean and variance of , then is13 May, 2023 (M)Relation Between Variance and Mean Deviation
  22. 22Variance of first natural numbers is13 May, 2023 (E)Relation Between Variance and Mean Deviation
  23. 23If the variance of the numbers is 5 , where , then is equal to12 May, 2023 (M)Relation Between Variance and Mean Deviation
  24. 24For 20 observations of variable , if and , then the standard deviation of variable is12 May, 2023 (E)Relation Between Variance and Mean Deviation
  25. 25If variance of is , then the variance of is11 May, 2023 (M)Measures of Dispersion
  26. 26If both mean and variance of 50 observations are equal to 16 and 256 respectively, then mean of is11 May, 2023 (E)Relation Between Variance and Mean Deviation
  27. 27The variance, for first six prime numbers greater than 5 , is10 May, 2023 (M)Relation Between Variance and Mean Deviation
  28. 28Mean and variance of six observations are 8 and 16 respectively. If each observation is multiplied by 3 , then new variance of the resulting10 May, 2023 (E)Relation Between Variance and Mean Deviation
  29. 29The standard deviation of the following distribution {array}{|c|c|c|c|} C.I. & 0-6 & 6-12 & 12-18 \\ {f}_{ {i}} & 2 & 4 & 6 \\ {array} is09 May, 2023 (M)Measures of Dispersion
  30. 30If the mean and S.D. of the data are 5 and 2 respectively, then and are the roots of the equation09 May, 2023 (E)Measures of Dispersion
  31. 31Two cards are drawn successively with replacement from a well shuffled pack of 52 cards, then mean of number of queens is09 May, 2023 (E)Mean
  32. 32In an experiment with 15 observations on , we have . One observation that was 20 was found to be wrong and was replaced by the correct value11 Aug, 2022 (M)Relation Between Variance and Mean Deviation
  33. 33The sum of 10 values is 12 and the sum of their squares is 16.9 , then their standard deviation is10 Aug, 2022 (E)Mean Square Deviation
  34. 34If both mean and the standard deviation of 50 observations are equal to 16 , then mean of is08 Aug, 2022 (E)Mean Square Deviation
  35. 35If the standard deviation of first natural numbers is 2 , then the value of is07 Aug, 2022 (M)Mean Square Deviation
  36. 36The variance of first 10 multiples of 3 is07 Aug, 2022 (E)Relation Between Variance and Mean Deviation
  37. 37In an experiment with 15 observations the results were available and , one observation that was 20 , was found wrong and was replaced by the06 Aug, 2022 (M)Relation Between Variance and Mean Deviation
  38. 38The variance and mean of 15 observations are respectively 6 and 10 . If each observation is increase by 8 then the new variance and new mean06 Aug, 2022 (E)Relation Between Variance and Mean Deviation
  39. 39If for some positive , the frequency distribution of the marks obtained by 20 students in a certain test, is as follows Then the mean of the05 Aug, 2022 (M)Mean
  40. 40In a pizza hut, the following distribution is found for the daily demand of pizzas. Then expected daily demand and variance are respectively05 Aug, 2022 (E)Relation Between Variance and Mean Deviation
  41. 41The means of 5 observations is 4.4 and variance is 8.24 . If three of the five observations are 1,2 and 6 , then the values of other two obs05 Aug, 2022 (E)Mean
  42. 42If the standard deviation of data is 12 and mean is 72 , then coefficient of variation is24 Sep, 2021 (M)Measures of Dispersion
  43. 43For the set of 50 observation, the sum of their squares is 3050 , their arithmetic mean is 6 . Hence the standard deviation of these observa24 Sep, 2021 (E)Measures of Dispersion
  44. 44The arithmetic mean of marks in Mathematics for four divisions A, B, C and D were 80, 75, 70 and 72 respectively. Their standard deviations 23 Sep, 2021 (M)Measures of Dispersion
  45. 45Given that total of 16 values is 528 and sum of the squares of deviation from 33 is 9158 . The variance is23 Sep, 2021 (E)Measures of Dispersion
  46. 46A random variable , if values of mean and variance of are 18,12 respectively, then22 Sep, 2021 (M)Measures of Dispersion
  47. 47If the variance of the data is 23.33 , then the variance of will be22 Sep, 2021 (M)Measures of Dispersion
  48. 48Following data shows the information about marks obtained in Physics, Chemistry, Mathematics and Biology by 100 students in a class. Then su22 Sep, 2021 (E)Mean Square Deviation
  49. 49In a meeting of the members favour and oppose a certain proposal. A member is selected at random and we take if the opposed and if he is in 21 Sep, 2021 (M)Measures of Dispersion
  50. 50For two data sets each of size 5 , the variance are given to be 4 and 5 and the corresponding means are given to be 2 and 4 respectively. Th21 Sep, 2021 (M)Measures of Dispersion

Frequently Asked Questions

1.How many questions are available for Statistics?

This chapter includes 57 questions compiled from MHTCET papers spanning 2020 to 2024.

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

These are MHTCET 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 MHTCET Mathematics?

Statistics has appeared in 5 of the 17 years of MHTCET papers covered here, with 57 questions across 49 papers - about one per paper it appears in.

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

Of the 57 questions analysed for this chapter, 67% are easy, 26% moderate and 7% tough. 2024 had the most, with 18 questions.

5.Which topics in Statistics should I focus on?

These topics have carried the most weightage in Statistics:

  • Measures of Dispersion - 23 questions (40%)
  • Relation Between Variance and Mean Deviation - 16 questions (28%)
  • Mean - 7 questions (12%)
  • Measures of Dispersion has produced the most tough questions (2).
6.Is Statistics's weightage in MHTCET going up or down?

Across all 49 papers analysed, Statistics has averaged about 1.2 questions per paper. In the last three years (2024–2026), that average has fallen, at about 0.3 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.