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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76.5

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77.5

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Solution

The correct option is C
77.5

The total marks obtained by 6 students of the class are 156 + 65 + 170 + 74 = 465

Now, the mean or average value of marks can be calculated by dividing the summation of marks obtained by each student

Mean = $\frac{S u m o f o b s e r v a t i o n s}{N o . o f O b s e r v a t i o n s}$

= $\frac{465}{6}$ = 77.5

$\begin{matrix} M a r k s (x_{i}) & F r e q u e n c y (f_{i}) & x_{i} f_{i} 78 & 2 & 156 65 & 1 & 65 85 & 2 & 170 74 & 1 & 74 T o t a l & \sum f_{i} = 6 & \sum x_{i} f_{i} = 465 \end{matrix}$

So, mean or average = $\frac{\sum x_{i} f_{i}}{\sum f_{i}}$ = $\frac{465}{6}$ = 77.5

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Similar questions

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

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

The following table shows the marks obtained by 5 students in a classroom, find the average marks of the classroom.

$\begin{matrix} M a r k s & F r e q u e n c y 98 & 1 65 & 1 88 & 2 54 & 1 \end{matrix}$

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