Question

find the median 4,5,10,6,7,14,9,5
​

Answer 1

Given :-

Data $\mapsto$ 4, 5, 10, 6, 7, 14, 9, 5

To find :-

• Median = ?

Solution :-

• Data in ascending order $\mapsto$ 4, 5, 5, 6, 7, 9, 10, 14

• (n) $\mapsto$ 8

Here n is even,

Formula to be used :-

$\sf{Median \: = \: \dfrac{1}{2}[value \: of \: \bigg(\dfrac{n}{2} \bigg) ^{th} \: term + value \: of \: { \bigg(\dfrac{n}{2} + 1} \bigg)^{th} term]} \\ \sf{= \: \dfrac{1}{2}[value \: of \: \bigg(\dfrac{8}{2} \bigg) ^{th} \: term + value \: of \: { \bigg(\dfrac{8}{2} + 1} \bigg)^{th} term]} \\ \\ \sf{= \: \dfrac{1}{2}[value \: of \: 4 ^{th} \: term + value \: of \: 5^{th} term]} \\ \\\sf{= \: \dfrac{1}{2}[6 + 7}] \\ \sf{= \: \dfrac{1}{2}[13}] \\ \sf{ = \frac{13}{2} }$

• Median = 6.5

Know more :-

▪Mode

• The no. that appears the most is mode.

• For eg :- 2,4,8,9,0,8,5,8,4,8

• Here 8 appears the most. So, 8 is the mode.

▪Median

• If n is odd,
• $\sf{Median~=~(\dfrac{n + 1}{2})^{th~term}}$