Question

solve the problem for 10 points​

Answer 1

$\underline{\underline{\sf{\blue{Answer\:1:}}}}$

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First ten prime numbers are:

2, 3, 5, 7, 11, 13, 17, 19, 23 and 29.

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${\boxed{\rm{Average\:=\:{\dfrac{Sum\:of\:observation}{Total\:number\:of\:observations}}}}}$

${\dfrac{2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29}{10}}$

${\cancel{\dfrac{129}{10}}}$

$\Rightarrow$ ${\large{\boxed{\red{=\:12.9}}}}$

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$\underline{\underline{\sf{\blue{Answer\:2:}}}}$

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Let the height of 5th member be $x$

‎${\boxed{\rm{Average\:=\:{\dfrac{Sum\:of\:observation}{Total\:number\:of\:observations}}}}}$

${150\:=\:{\dfrac{153 + 150 + 151 + 152 + x}{5}}}$

${150\:=\:{\dfrac{606 + x}{5}}}$

${150\:{\times}\:5\:=\:606\:+\:x}$

${750\:=\:606\:+\:x}$

$x\:=\:750\:-\:606$

$\Rightarrow$ ${\large{\boxed{\red{x=\:144}}}}$