Question

The mean of 5 numbers is 22. If one more number is included , then the mean of the new set of numbers becomes 24. Find the included number.

Answer 1

here is ur answer and hope u get it

Answer 2

$We \:know \: that , \\\boxed { \pink { Mean = \frac{ Sum \:of \: the \:terms }{Number \:of \:terms }}}$

$Mean \: of \: 5 \: numbers = 22 \: (given)$

$Sum \:of \:5 \: numbers \\= 22 \times 5 \\= 110$

/* According to the problem given */

$Let \: the \: number \: included \: is \: \pink {x}$

$New \: mean = 24$

$\implies \frac{Sum \:of \: 5 \: numbers + x }{6} = 24$

$\implies \frac{110 + x }{6} = 24$

$\implies 110 + x = 6 \times 24$

$\implies 110 + x = 144$

$\implies x = 144 - 110$

$\implies x = 34$

Therefore.,

$\red{ Required \: included \: number }\green {= 34 }$

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