Math, asked by nikhilchn22, 10 months ago

If mode = 18.3 and median = 21.6 then mean =

answer the question with explanation

Answers

Answered by yogeshparashar452

Answer:

Solution;

Mode= 3 Median - 2 mean

=> 16= 3 median - 2*28

=> 16= 3 median - 56

=> 3 median= 72

=> median= 72/3= 24

so, Median of distribution is 24

Answered by Mihir1001

$\huge{\underline{\mathfrak{\textcolor{blue}{Answer :}}}}$

$\huge\boxed{\fcolorbox{red}{pink}{mean = 23.25}}$

$\huge{\underline{\mathrm{\textcolor{red}{Step-by-step \: \: explanation :}}}}$

$\LARGE{\underline{\mathtt{\textcolor{violet}{Given :-}}}}$

mode = 18.3
median = 21.6

$\LARGE{\underline{\mathtt{\textcolor{green}{To \: \: find :-}}}}$

mean

$\LARGE{\underline{\mathtt{\textcolor{teal}{Concept \: \: used :-}}}}$

Empirical Formula

$\LARGE{\underline{\mathtt{\textcolor{blue}{Solution :-}}}}$

As per Empirical Formula ,

we know that,

$\Large{ \longmapsto mode = 3(median) - 2(mean)}$

$\Large{ \implies 2(mean) = 3(median) - mode}$

$\Large{ \implies mean = \frac{3(median) - mode}{2} }$

$\Large{ \implies mean = \frac{3(21.6) - 18.3}{2} }$

$\Large{ \implies mean = \frac{64.8 - 18.3}{2} }$

$\Large{ \implies mean = \frac{46.5}{2} }$

$\Large{ \implies mean = \frac{ \cancel{46.5} \: {}^{23.25} }{_1 \: \cancel{2} } }$

$\Large{ \implies mean = \frac{23.25}{1} }$

$\Large{ \implies mean = 23.25 }$

$\LARGE{\underline{\mathtt{\textcolor{magenta}{Conclusion :-}}}}$

mean = 23.25

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If mode = 18.3 and median = 21.6 then mean =

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