Consider the following frequency distribution. If the sum of all frequencies is 584 and median is 45, then ∣α−β∣ is equal to ....... .
Answer: 164
Solutions · 1
Official solution
α+β+110+54+30=584⟹α+β=390
Median position: 2584=292nd term. Median (45) lies in a class with cumulative-frequency relation:
\[\alpha+110+54+15... = 292 \implies \alpha=113\]
\[\beta = 390-113=277\]
\[|\alpha-\beta| = |113-277|=164\]