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

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Revise Calculation of standard deviation, variance and mean deviation for grouped and ungrouped data by covering every subtopic once, drilling formulas, then solving 11+ timed MCQs with full solutions.

Use this Calculation of standard deviation, variance and mean deviation for grouped and ungrouped data revision checklist before mocks and the final exam. Reinforce concepts with 11+ syllabus-aligned MCQs on Goodmarks.

Revision checklist

  1. 1.Core idea: Calculation of standard deviation, variance and mean deviation for grouped and ungrouped data
  2. 2.Relates to other subtopics in Statistics and Probability
  3. 3.Mean, median, mode, standard deviation
  4. 4.Addition and multiplication probability
  5. 5.Master Calculation of standard deviation, variance and mean deviation for grouped and ungrouped data definitions and standard results
  6. 6.Solve 20 timed MCQs for Calculation of standard deviation, variance and mean deviation for grouped and ungrouped data

Syllabus context

Part of Statistics and Probability in JEE Main Mathematics.

Free sample questions

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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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How should I revise Calculation of standard deviation, variance and mean deviation for grouped and ungrouped data before JEE?

Follow the checklist on this page, revise formulas daily, and attempt mixed MCQs every 2–3 days.

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