Question

The mean of 12 observations is 32. If one observation 10 is
deleted, find the new mean.​

Answer 1

Step-by-step explanation:

$\huge{\boxed{\underline{\mathcal{\purple{Ques}\green{tion}}}}}$

The mean of 12 observations is 32. If one observation 10 is

deleted, find the new mean.

$\huge{\mathcal{\purple{Ans}\pink{wer}}}$

The mean is 12 , so let us consider it as x

$\frac{x}{12} = 32$

$x = 12 \times 32 = 384$

If x is 384, then one observation is removed.

$\huge{\mathcal{\pink{So\:, 10\:was\:also \:one\:of\:the\:observations}{\blue{containing\: single\: serial no.}}}}}$

$\huge{\boxed{\underline{\mathcal{\purple{Now\:,}\green{ 10 \:was\: also \:one \:of \:the\: observations\: containing\: single \:serial no.\:384-10=374\\ will \:be\: the \:new\\ x.}}}}}$

So, 10 was also one of the observations containing single serial no.384-10=374 will be the new x.And now, new mean will be as follows.

will be the new x.And now, new mean will be as follows.

$\frac{374}{11} = new \:<strong><u> </u></strong>mean$

$new \: mean = 34$

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