Question

The average marks in statistics of 10 students of a class were 81. A new student took admission who scored 92 marks, whereas existing students left the college who scored 56 and 36 marks. What is the new average-marks ?
a) 81
b) 90
c) 82.8
d) 79.7​

Answer 1

Step-by-step explanation:

90 is the answer for above question

my explanation give above so check it

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

The average marks in statistics of 10 students of a class were 81. A new student took admission who scored 92 marks, whereas existing students left the college who scored 56 and 36 marks. What is the new average-marks

a) 81

b) 90

c) 82.8

d) 79.7

EVALUATION

Here it is given that the average marks in statistics of 10 students of a class were 81

Total marks of 10 students

= 10 × 81

= 810

Now new student took admission who scored 92 marks, whereas existing students left the college who scored 56 and 36 marks

Therefore the new total marks

= 810 + 92 - ( 56 + 36 )

= 810 + 92 - 92

= 810

Now the total number of students

= 10 + 1 - 2

= 9

Hence the required average

$\sf \: = \dfrac{810}{9}$

$\bf \: = 90$

FINAL ANSWER

Hence the correct option is b) 90

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