Mathematics · JEE

Online Practice: Calculation of standard deviation, variance and mean deviation for grouped and ungrouped data for JEE

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Sharpen your mathematics preparation with interactive online practice for Calculation of standard deviation, variance and mean deviation for grouped and ungrouped data. Goodmarks offers 12+ JEE-style MCQs mapped to the official syllabus, each with detailed explanations so you learn from every attempt.

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Part of Statistics and Probability in JEE Main Mathematics.

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Q1MathsUnit 13: Statistics and Probability

In an experiment with 15 observations on

x,

then following results were available:

\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 .

Then the corrected variance is:

Q2MathsUnit 13: Statistics and Probability

Find variance for following data:

\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

The ages (in years) of a family of 6 members are 1,5,12,15,38 and 40 The standard deviation is found to be 15.9 After 10 years the standard deviation is

Q7MathsUnit 13: Statistics and Probability

Which of the following are dimensionless

Q8MathsUnit 13: Statistics and Probability

Assertion If

\boldsymbol{r}_{\boldsymbol{x} \boldsymbol{y}}

i.e.

\boldsymbol{r}(\boldsymbol{x}, \boldsymbol{y})=\mathbf{0 . 2 5}, \boldsymbol{\sigma}_{\boldsymbol{x}}=\mathbf{0 . 1}, \boldsymbol{\sigma}_{\boldsymbol{y}}=

4,

then

b_{y x}=10

Reason

\boldsymbol{b}_{\boldsymbol{y} \boldsymbol{x}}=\boldsymbol{r} \frac{\boldsymbol{\sigma}_{\boldsymbol{y}}}{\boldsymbol{\sigma}_{\boldsymbol{x}}}

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How do I practice Calculation of standard deviation, variance and mean deviation for grouped and ungrouped data online for JEE?

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Goodmarks currently has 12+ JEE-aligned MCQs for Calculation of standard deviation, variance and mean deviation for grouped and ungrouped data, with more added regularly.

Is this aligned with the JEE Main syllabus?

Yes. All Mathematics questions on Goodmarks are organised by official JEE Main units and subtopics, including Calculation of standard deviation, variance and mean deviation for grouped and ungrouped data.

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