The average of 100 numbers is 46, but it was found that 2 numbers 16 and 43 are mistakenly calculated
as 61 and 34. Find the correct average.
just neeed answer . options are:-
60.2
45.6
48.3
50.6
Answers
Given : The average of 100 numbers is 46, but it was found that 2 numbers 16 and 43 are mistakenly calculated as 61 and 34
To Find : the correct average.
Solution:
The average of 100 numbers is 46
Hence total of 100 numbers = Average * count of numbers
= 46 * 100
= 4600
16 and 43 are mistakenly calculated as 61 and 34
Hence we need to subtract 61 & 34 from total
and need to add 16 & 43
Hence correct total = 4600 - 61 - 34 + 16 + 43
= 4564
Average = 4564/100
= 45.64
Rounded to one decimal
= 45.6
Hence 45.6 is correct answer
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Answer:
Given : The average of 100 numbers is 46, but it was found that 2 numbers 16 and 43 are mistakenly calculated as 61 and 34
To Find : the correct average.
Solution:
The average of 100 numbers is 46
Hence total of 100 numbers = Average * count of numbers
= 46 * 100
= 4600
16 and 43 are mistakenly calculated as 61 and 34
Hence we need to subtract 61 & 34 from total
and need to add 16 & 43
Hence correct total = 4600 - 61 - 34 + 16 + 43
= 4564
Average = 4564/100
= 45.64
Rounded to one decimal
= 45.6
Hence 45.6 is correct answer