# How can we divide the salary data {199,200,202,203,207,208,208,209,210,210,210,210,212,213,214,215,217,218,218,221} in six classes?

Nov 3, 2016

#### Explanation:

The difference between the smallest number being $199$ and the largest being $221$ is $22$.

Hence let us divide them in $6$ as follows:
$198 - 201$, $202 - 205$, $206 - 209$, $210 - 213$, $214 - 217$ and $218 - 221$

Now let us put al salaries in relevant classes and it is

198-201 - $\textcolor{red}{199 - 200}$
202-205 -$\textcolor{red}{203 - 202}$
206-209 -$\textcolor{red}{209 - 208 - 207 - 208}$
210-213-$\textcolor{red}{212 - 210 - 210 - 210 - 210 - 213}$
214-217-color(red)(217-215-214
218-221-color(red)(221-218-218

Hence frequency distribution is

$198 - 201 - \textcolor{b l u e}{2}$
$202 - 205 - \textcolor{b l u e}{2}$
$206 - 209 - \textcolor{b l u e}{4}$
$210 - 213 - \textcolor{b l u e}{6}$
$214 - 217 - \textcolor{b l u e}{3}$ and
$218 - 221 - \textcolor{b l u e}{3}$