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Saturday, 31 October

JEE Main · Maths · Statistics

Variance of Discrete Frequency Distribution

JEE Main asked Variance of Discrete Frequency Distribution 3 times in 3 of the 108 shifts Lumi analysed, in 2023 and 2024. It belongs to Variance and SD, in Statistics (Maths). The longest wait between two years asking it was 1 year. In 2024 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
3
in 3 shifts
Years
2 of 8
First asked
2023
last in 2024
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2023 and 2024. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.050.10’170’200’210’220.07’230.09’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 0 in 24 shifts · 2022: 0 in 24 shifts · 2023: 1 in 12 shifts · 2024: 2 in 18 shifts · 2025: 0 in 8 shifts · 2026: 0 in 9 shifts.

Shift by shift

Each square is one analysed shift, in date order. Open a filled one for that paper.

  • 20260 of 9
  • 20250 of 8
  • 20242 of 18
  • 20231 of 12
  • 20220 of 24
  • 20210 of 24
  • 20200 of 12
  • 20170 of 1

Asked in that shift More than once Not asked

How JEE Main framed it

Single correct is the usual form. Skill tested: calculation.

  • Variance of frequency table
  • Find unknown data from variance

Difficulty

Easy 1Medium 2Hard 0

1 of the 3 questions had a numerical answer.

Every question

All 3 questions

From the official JEE Main shift papers, newest first. Open one for the full question, the options and the official answer.

  1. 30 Jan 2024, Shift 2 · Q30The variance σ2\sigma^2 of the data | xix_i | 0 | 1 | 5 | 6 | 10 | 12 | 17 | |---|---|---|---|---|---|---|---| | fif_i | 3 | 2 | 3 | 2 | 6…EasyNumerical value
  2. 9 Apr 2024, Shift 2 · Q19If the variance of the frequency distribution | xx | cc | 2c2c | 3c3c | 4c4c | 5c5c | 6c6c | |---|---|---|---|---|---|---| | ff | 2 | 1…MediumSingle correct
  3. 10 Apr 2023, Shift 2 · Q19Let μ\mu be the mean and σ\sigma be the standard deviation of the distribution xix_i: 00, 11, 22, 33, 44, 55 fif_i: k+2k+2, 2k2k,…MediumSingle correctHas a figure

Shifts: 10 Apr 2023, Shift 2, 30 Jan 2024, Shift 2, 9 Apr 2024, Shift 2.

Same topic

Other ideas in Variance and SD

Variance and SD has 20 ideas JEE Main has asked; 10 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas