When the marks of a student were wrongly entered as 53 instead of 23, the average of the class increased by 0.5. Find the number of students in the class?
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Answered by
13
Answer:
Number of students was 60
Step-by-step explanation:
Let the total students be x .
Average = total / number of students
First case
Average = total / x ............( 1 )
Second case
53 was written .
Now it was reduced to 23 .
Change = 23 - 53 = - 30
Total = total - 30 .
Average decreases by 0.5
So : average - 0.5 = ( total - 30 ) / x ................( 2 )
Subtract ( 1 ) and ( 2 ) :
0.5 = total / x - ( total - 30 ) / x
= 0.5 x = total - ( total - 30 )
= 0.5 x = 30
= x = 30/0.5
= x = 300/5
= x = 60
Answered by
1
60 is the answer hope it is helpful
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