Mathematics · JEE

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

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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,

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}}}

Q9MathsUnit 13: Statistics and Probability

Find the correct Standard Deviation:

Q10MathsUnit 13: Statistics and Probability

For 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. The double of the variance of the combined data set is

Q11MathsUnit 13: Statistics and Probability

The mean deviation of the data

\mathbf{2}, \mathbf{9}, \mathbf{9}, \mathbf{3}, \mathbf{6}, \mathbf{9}, \mathbf{4}

from the mean is

Q12MathsUnit 13: Statistics and Probability

Find the Standard Deviation of the following data:

\mathbf{5}, \mathbf{9}, \mathbf{8}, \mathbf{1 2}, \mathbf{6}, \mathbf{1 0}, \mathbf{6}, \mathbf{8}

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