Question:
Consider the following frequency distribution :
If the sum of all frequencies is 584 and median is 45 , then $|\alpha-\beta|$ is equal to__________.
Solution:
$\because$ Sum of frequencies $=584$
$\Rightarrow \alpha+\beta=390$
Now, Median is at $\frac{584}{2}=292^{\text {th }}$
$\because$ Median $=45($ lies in class $40-50)$
$\Rightarrow \alpha+110+54+15=292$
$\Rightarrow \alpha=113, \beta=277$
$\Rightarrow|\alpha-\beta|=164$
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