Mean of 100 items was 46 . Later on it was discovered that an item 16 was misread as 61 and another

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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 twas $90$ and not $100 .$ Then what is the correct mean?

A

$50$

B

$50.7$

C

$52$

D

$52.7$

Solution

Required Average

$=\frac{100 \times 46-61-34+16+43}{90}$

$=\frac{4600-36}{90}=\frac{4564}{90}$

$=50.7$

Standard 13

Quantitative Aptitude

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