The mean of $100$ observations is $50$. If one of the observations which was $50$ is replaced by $150$,the resulting mean will be:

  • A
    $51$
  • B
    $50.5$
  • C
    $51.5$
  • D
    $52$

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The mean of the following distribution is $50$. Find the value of $a$ and hence the frequencies of $30$ and $70$.
$x$$f$
$10$$17$
$30$$5a+3$
$50$$32$
$70$$7a-11$
$90$$19$

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