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Calculation of standard deviation, variance and mean deviation for grouped and ungrouped data Concepts for JEE

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Quick answer

Master Calculation of standard deviation, variance and mean deviation for grouped and ungrouped data by understanding definitions, standard results, and typical JEE question patterns — then practise with syllabus-aligned MCQs on Goodmarks.

Build clear conceptual foundations for Calculation of standard deviation, variance and mean deviation for grouped and ungrouped data before speed practice. This guide covers what JEE expects and how to test yourself with MCQs.

Concept explainer

Calculation of standard deviation, variance and mean deviation for grouped and ungrouped data is a core JEE Main Mathematics subtopic under Statistics and Probability. Master the definitions, standard results, and typical MCQ patterns tested in JEE Main and Advanced.

Key points

  • Understand the definition and scope of Calculation of standard deviation, variance and mean deviation for grouped and ungrouped data in the JEE syllabus
  • Memorise key formulas and standard results linked to Calculation of standard deviation, variance and mean deviation for grouped and ungrouped data
  • Practise 20–40 syllabus-aligned MCQs with step-by-step solutions

JEE tips

  • Revise Calculation of standard deviation, variance and mean deviation for grouped and ungrouped data with a one-page formula sheet before attempting mixed tests
  • After each practice set, log mistakes specific to Calculation of standard deviation, variance and mean deviation for grouped and ungrouped data and reattempt after 48 hours

Common trap

Students often rush Calculation of standard deviation, variance and mean deviation for grouped and ungrouped data questions without checking units, sign conventions, or boundary conditions — always verify assumptions before calculating.

Syllabus context

Part of Statistics and Probability in JEE Main Mathematics.

Free sample questions

Attempt 8 free MCQs for Calculation of standard deviation, variance and mean deviation for grouped and ungrouped data. Unlock 3+ more with Pro.

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Q1MathsUnit 13: Statistics and Probability
In an experiment with 15 observations on x,x, then following results were available: ∑x2=2830,∑x=170\sum x^{2}=2830, \sum x=170 One observation that was 20 was found to be wrong and was replaced by the correct value 30.30 . Then the corrected variance is:
Q2MathsUnit 13: Statistics and Probability
Find variance for following data:  Class 0−10−20−3010203040\begin{array}{lllll}\text { Class } & 0- & 10- & 20- & 30 \\ & 10 & 20 & 30 & 40\end{array} frequency ey 6 8
Q3MathsUnit 13: Statistics and Probability
The variance of observations 112,116,120,125,132 is
Q4MathsUnit 13: Statistics and Probability
The variance of the data 6,8,10,12,14,16,18,20,22,24 is
Q5MathsUnit 13: Statistics and Probability
Variance remains unchanged by change of
Q6MathsUnit 13: Statistics and Probability
Which of the following are dimensionless
Q7MathsUnit 13: Statistics and Probability
Assertion If rxy\boldsymbol{r}_{\boldsymbol{x} \boldsymbol{y}} i.e. r(x,y)=0.25,σx=0.1,σy=\boldsymbol{r}(\boldsymbol{x}, \boldsymbol{y})=\mathbf{0 . 2 5}, \boldsymbol{\sigma}_{\boldsymbol{x}}=\mathbf{0 . 1}, \boldsymbol{\sigma}_{\boldsymbol{y}}= 4,4, then byx=10b_{y x}=10 Reason byx=rσyσx\boldsymbol{b}_{\boldsymbol{y} \boldsymbol{x}}=\boldsymbol{r} \frac{\boldsymbol{\sigma}_{\boldsymbol{y}}}{\boldsymbol{\sigma}_{\boldsymbol{x}}}
Q8MathsUnit 13: Statistics and Probability
Find the correct Standard Deviation:

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