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Er Chitaranjan Kumar

· started a discussion

· 1 Months ago

confusion (Question: 107821.0 )

why will not (94564-460)/90

Question:

The mean of 100 items was 46. Later on, it was discovered that an item 16 was misread as 61 and another item 43 was misread as 34. It was also found that the number of items was 90 and not 100. What is the correct mean?

Options:
A) 50
B) 50.7
C) 52
D) 52.7
Solution:
Ans: (b) Total sum = 46 × 100 = 4600

A.T.Q., (4600 – (61+34) + 16 + 43) will be the correct sum.

So, correct sum = 4564

The correct mean = \(\cfrac{4564}{90}=50.7\)

Knowledge Expert

· commented

· 1 Months ago

Dear Student,

Given answer and explnation are correct.

Check Alt sol:
mean of 100 item are = 46
Sum of 100 items are = 46 × 100 = 4600
Misread 61 instead of 16 and 34 instead of 43
∴ Difference = (61 + 34) – (16 + 43)
= 95 – 59
= 36 (more)
∴ Actual sum = 4600 – 36 = 4564
Now total observation are = 90
Actual average/mean = 4564/90 = 50.7

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Er Chitaranjan Kumar

· commented

· 1 Months ago

*(4564-460)/90
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