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 5 be x and y respectively.
$\text { Class mark }=\frac{\text { Lower class limit }+ \text { Upper class limit }}{2}$
$\therefore \quad 5=\frac{x+y}{2}$
∴x + y = 10
Here, class width = 15 – 5 = 10
But, Class width = Upper class limit – Lower class limit
∴ y – x = 10
∴ -x + y = 10 …(ii)
Adding equations (i) and (ii),
x+ y = 10
-x + y = 10
∴ 2y = 20
∴ y = 10
Substituting y = 10 in equation (i),
∴ x + 10 = 10
∴ x = 0
∴ class with class-mark 5 is 0 – 10
Similarly, we can find the remaining classes.
∴ frequency table taking inclusive and exclusive classes.
$\text { Class mark }=\frac{\text { Lower class limit }+ \text { Upper class limit }}{2}$
$\therefore \quad 5=\frac{x+y}{2}$
∴x + y = 10
Here, class width = 15 – 5 = 10
But, Class width = Upper class limit – Lower class limit
∴ y – x = 10
∴ -x + y = 10 …(ii)
Adding equations (i) and (ii),
x+ y = 10
-x + y = 10
∴ 2y = 20
∴ y = 10
Substituting y = 10 in equation (i),
∴ x + 10 = 10
∴ x = 0
∴ class with class-mark 5 is 0 – 10
Similarly, we can find the remaining classes.
∴ frequency table taking inclusive and exclusive classes.
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