Question

mean Or mode Midian formula send ​

Answer 1

L+(n/2-cf/f)h it is a midean

Answer 2

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

Mean

Mean using Direct Method

$\red{\boxed{ \sf{ \:Mean = \dfrac{ \sum f_i x_i}{ \sum f_i} \: \: }}}$

Mean using Short Cut Method

$\red{\boxed{ \sf{ \:Mean \: = \: A \: + \: \dfrac{ \sum f_i d_i}{ \sum f_i} \: \: }}}$

Mean using Step Deviation Method

$\red{\boxed{ \sf{ \:Mean \: = \: A \: + \: \dfrac{ \sum f_i u_i}{ \sum f_i} \times h \: \: }}}$

where,

$\rm \: \: \: \: \: \: \: \: d_i \: = \: x_i \: - \: A$

$\rm \: \: \: \: \: \: \: \: u_i \: = \: \frac{x_i \: - \: A}{h}$

$\rm \: \: \: \: \: \: \: \: h \: is \: width \: of \: the \: interval$

Median

$\blue{\boxed{ \sf M= l + \Bigg \{h \times \dfrac{ \bigg( \dfrac{N}{2} - cf \bigg)}{f} \Bigg \}}}$

where,

• l denotes lower limit of median class

• h denotes width of median class

• f denotes frequency of median class

• cf denotes cumulative frequency of the class preceding the median class

• N denotes sum of frequency

Mode

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

Where,

• l is lower limit of modal class.

• $\sf{f_1}$ is frequency of modal class

• $\sf{f_0}$ is frequency of class preceding modal class

• $\sf{f_2}$ is frequency of class succeeding modal class, and

• h is class height.