There are 60 students in a class- The following is the frequerwy distribution of the marks obtained by the students in a testtext Frequency - x-2 - x - x- 2 -x-1- 2 - 2 x - x-1 hline lend array - where- x is a positive integer- Determine the mean and standard deviation of the marks-

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Mean Deviation from Mean for Continuous Series

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Question

There are 60 students in a class. The following is the frequerwy distribution of the marks obtained by the students in a test

$\begin{matrix} Marks & 0 & 1 & 2 & 3 & 4 & 5 Frequency & x - 2 & x & x^{2} & (x + 1)^{2} & 2 x & x + 1 \end{matrix}$

where, x is a positive integer. Determine the mean and standard deviation of the marks.

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60

\begin{matrix} Marks & Frequency 0 & x - 2 1 & x 2 & x^{2} 3 & (x + 1)^{2} 4 & 2 x 5 & x + 1 \end{matrix}

x

60

\begin{matrix} Marks & Frequency 0 & x - 2 1 & x 2 & x^{2} 3 & (x + 1)^{2} 4 & 2 x 5 & x + 1 \end{matrix}

x

x \in R

20

Marks	$2$	$3$	$5$	$7$
Frequency	$(x + 1)^{2}$	$2 x - 5$	$x^{2} - 3 x$	$x$

x \in R

20

Marks	2	3	5	7
Frequency	$(x + 1)^{2}$	$(2 x - 5)$	$x^{2} - 3 x$	$x$

The following table shows the marks obtained by 6 students in a class. Find the average marks of the students in the class.

$\begin{matrix} M a r k s & F r e q u e n c y 78 & 2 65 & 1 85 & 2 74 & 1 \end{matrix}$

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