Question

if x baar = 18 and z = 24 , then M = ?​

Answer 1

Answer:

then m - 30

because there is pattern of adding 6

Step-by-step explanation:

mark as Branliest

Answer 2

$\large\underline{\bf{Solution-}}$

We know that,

Symbols have the following meaning :-

$\bf :\longmapsto\: \overline{x} \:represents \: mean$

$\bf :\longmapsto\:Z \: represents \: mode$

$\bf :\longmapsto\:M \: represents \: median$

Given that

$\bf :\longmapsto\: \overline{x} \: = \: 18$

$\bf :\longmapsto\:Z \: = \: 24$

We know,

Empirical Formula is given as

$\red{\bf :\longmapsto\:Mode = 3 \: Median \: - \: 2 \: Mean}$

$\rm :\longmapsto\:Z \: = \: 3 \: M - 2 \: \overline{x}$

$\rm :\longmapsto\:24 = 3M - 2 \times 18$

$\rm :\longmapsto\:24 = 3M -36$

$\rm :\longmapsto\:24 + 36 = 3M$

$\rm :\longmapsto\:60 = 3M$

$\purple{\bf\implies \:M = 20}$

Additional Information :-

1. Mean using Direct Method :-

$\green{\boxed{ \tt \: \dashrightarrow\bf Mean = \dfrac{ \sum f_i x_i}{ \sum f_i}}}$

2. Mean using Short Cut Method :-

$\green{\boxed{ \tt \: \dashrightarrow\bf Mean =A + \dfrac{ \sum f_i d_i}{ \sum f_i}}}$

3. Mean using Step Deviation Method :-

$\green{\boxed{ \tt \: \dashrightarrow\bf Mean =A + \dfrac{ \sum f_i u_i}{ \sum f_i} \times h}}$

4. Median :-

$\green{\boxed{ \tt \: \dashrightarrow\bf Median= l + \Bigg \{h \times \dfrac{ \bigg( \dfrac{N}{2} - cf \bigg)}{f} \Bigg \}}}$

5. Mode :-

$\green{\boxed{ \dashrightarrow\tt \: {{\bf{Mode = l + \bigg(\dfrac{f_1 - f_0}{2f_1 - f_0 - f_2} \bigg) \times h }}}}}$