Question

Find median and mode for the following obesrvation of 15,14,19,20 ,14,15,16,14,18

Answer 1

$\textbf{\large{\underline{Answer ;- }}}$

$\textbf{\large{\underline{Median}}}$

The data is arranged in Ascending or Descending order and the middle term is considered as Median.

So, Median of the given date =

15,14,19,20 ,14,15,16,14,18

$\tt{ \rightarrow Ascending\:Order}$

$\tt{ \Rightarrow14\:,\: 14 \: ,\: 14 \: ,\: 15 \:, 15 \:, \: 16 \:,\: 18 \:, \: 19 \: , 20}$

$\textsf{\large{The middle term =}}$

$\tt{ \Rightarrow \: {\underline{15}}}$

Therefore the Median is 15

$\textbf{\large{\underline{Mode :- }}}$

Mode is the number which has the highest frequency.

Mode of the given data =

$\begin{tabular}{|c|c|}\cline{1-2} Number & Frequency\\\cline{1-2}\ 14 & 3\\\cline{1-2}\15&2\\\cline{1-2}\16&1\\\cline{1-2}\18&1\\\cline{1-2}\19&1\\\cline{1-2}20&1\\\cline{1-2}\end{tabular}$

According to the above table, we can see that Number $\textbf{14}$ has the highest Frequency 3.

Therefore the mode is $\textbf{14}$

Answer 2

hope this will help you