MCQ
Write the correct answer in the following: Let $m$ be the mid-point and $l$ be the upper class limit of a class in a continuous frequency distribution. The lower class limit of the class is:
- A$2m + l$
- ✓$2m - l$
- C$m - l$
- D$m - 2l$
✓
Answer
Correct option: B.
$2m - l$
Let $x$ and $y$ be the lower and upper class limit of a continuous frequency distribution.
Now, mid-point of a class $=\frac{(\text{x}+\text{y})}{2}=\text{m}$ [given]
$\Rightarrow x + y = 2m = x + l = 2m$
$\big[\therefore$ $y = l$ = upper class limit (given)$\big]$
$\Rightarrow x = 2m - l$
Hence, the lower class limit of the class is $2m - l$.
Now, mid-point of a class $=\frac{(\text{x}+\text{y})}{2}=\text{m}$ [given]
$\Rightarrow x + y = 2m = x + l = 2m$
$\big[\therefore$ $y = l$ = upper class limit (given)$\big]$
$\Rightarrow x = 2m - l$
Hence, the lower class limit of the class is $2m - l$.
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