Question

Find the median and the mode for the set of numbers 2,2,3,5,5,5,6,8,9

Answer 1

$\bold{To \: find \: median \: = > }$

Given ,

Observations ➡ 2,2,3,5,5,5,6,8,9

Number of observations ➡ 9 [odd]

$Median \: = \: \frac{n + 1}{2} \: observation$

$= \frac{9 + 1}{2}$

$= \frac{10}{2}$

$= 5 \: observation \: that \: is \: 5$

Therefore median of the data = 5

$\bold{To \: find \: mode = > }$

➡ Arrange the given observations in ascending order .

➡ The most frequently occurring number is mode .

➡ 2,2,3,5,5,5,6,8,9

➡ In the given observations "5" is the mode .