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Question

The following data gives the information of life of 300 electric bulbs (in Hours)




Life (in Hrs.)



0-20



20-40



40-60



60-80



80-100



100-120



No. of electric bulbs



31



36



38



42



82



71


Find the modal life of the electric bulbs.

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Solution

Modalclassis80100l=80,f1=82,f0=42,f2=71,h=20modallife=l+(f1f02f1f0f2)×h=80+(82422×824271)×h=80+40×2051=80+80051=80+15.69=95.69

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