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Arithmetic MCQ 2 (Average marks calculation)

MCQ 2 : If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is:

a) 53.33                     b) 54.68                         c) 55                          d) None of these

Solution:

 

We know

average marks are calculated by dividing total number of students with their total marks !

i-e

\[ Average Marks = \frac{Total Marks}{Total Number Of Students} \]

 

\[ Total Marks = Total Number Of Students\times Average Marks \]

For Batch 1

Average marks = 50

Total Number of Students = 55

so

\[ Total Marks = 55\times 50=2750 \]

Similarly,

For Batch 2

\[ Total Marks = 60\times 55=3300 \]

For Batch 3

\[ Total Marks = 45\times 60=2700 \]

 

Now,

\[ Total Marks Of all Batches = 2750+3300+2700=8750 \]

and

\[ Total students Of all Batches =55+60+45=160 \]

So,

The average marks of all batches ​\( =\frac{Total Marks Of all Batches}{Total StudentOf all Batches} \)

 

\[ =\frac{6750}{160}=54.68 \]

 

So the option b is correct

 

 

 

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