Question
In the tables given below, class-mark and frequencies is given. Construct the frequency tables taking inclusive and exclusive classes.
✓
Answer
Let the lower class limit and upper class limit of the class mark 22 be x andy respectively.
$\text { Class mark }=\frac{\text { Lower class limit }+ \text { Upper class limit }}{2}$
$\therefore \quad 22=\frac{x+y}{2}$
$\therefore x + y = 44 …(i)$
Here, class width $= 24 – 22 = 2$
But, Class width = Upper class limit – Lower class limit
$\therefore y – x = 2$
$\therefore -x + y = 2 …. (ii)$
Adding equations (i) and (ii),
$x + y = 44$
$– x + y= 2$
$2y = 46$
$\therefore y = 23$
Substituting $y = 23$ in equation (i),
$\therefore x + 23 = 44$
$\therefore x = 21$
$\therefore$ class with class-mark $22$ is $21 – 23$
Similarly, we can find the remaining classes
$\therefore$ frequency table taking inclusive and exclusive classes.
$\text { Class mark }=\frac{\text { Lower class limit }+ \text { Upper class limit }}{2}$
$\therefore \quad 22=\frac{x+y}{2}$
$\therefore x + y = 44 …(i)$
Here, class width $= 24 – 22 = 2$
But, Class width = Upper class limit – Lower class limit
$\therefore y – x = 2$
$\therefore -x + y = 2 …. (ii)$
Adding equations (i) and (ii),
$x + y = 44$
$– x + y= 2$
$2y = 46$
$\therefore y = 23$
Substituting $y = 23$ in equation (i),
$\therefore x + 23 = 44$
$\therefore x = 21$
$\therefore$ class with class-mark $22$ is $21 – 23$
Similarly, we can find the remaining classes
$\therefore$ frequency table taking inclusive and exclusive classes.
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