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

A

$50$

B

$50.7$

C

$52$

D

$52.7$

Solution

Given average of $100$ items $=46$ Sum of $100$ items $=46 \times 100=4600$

According to the question When $16$ was misread as $61$ and $43$ was misread $34,$ then total sum $=4600+16-61-34+43=4564$

Average $=\frac{4564}{90}=50.7$

Standard 13

Quantitative Aptitude

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