The histogram shows the ages of people at a health camp, with each frequency written on its bar. Find the modal class, then the mode using Mode=l+2f1−f0−f2f1−f0×h.
Class 10StatisticsStatistics and Probability
A50 years
B52 years
C48 years
D46 years
Step-by-Step Solution
Modal class 40−60:l=40,f1=16,f0=10,f2=12,h=20. Mode =40+32−10−1216−10×20=40+106×20=52.
Where: - l = lower limit of modal class - h = class width - f₁ = frequency of modal class - f₀ = frequency of class BEFORE modal class - f₂ = frequency of class AFTER modal class
**Example**: Modal class 30–40 with f₁ = 12, f₀ = 5, f₂ = 8. l=30,h=10. Mode = 30+10×(12−5)/(24−5−8)=30+1170 ≈ 36.36.
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