Question 12 The following age wise chart of 300 passengeMaking Normal Table
rs flying from Delhi to Pune is prepared by the Airlines staff Find the mean age of the passengers.
Mean(𝑥 ̅) = a + h × (∑▒𝒇𝒊𝒖𝒊)/(∑▒𝒇𝒊)
Where
a = Assumed Mean
Let h = Class interval
Also,
∑▒𝒇𝒊 = 300
∑▒𝒇𝒊𝒖𝒊 = 210
Putting values in formula
Mean(𝑥 ̅) = a + h × (∑▒𝒇𝒊𝒖𝒊)/(∑▒𝒇𝒊)
Where
a = Assumed Mean
Let h = Class interval
Also,
∑▒𝒇𝒊 = 300
∑▒𝒇𝒊𝒖𝒊 = 210
Putting values in formula
Mean(𝒙 ̅) = a + h × (∑▒𝒇𝒊𝒖𝒊)/(∑▒𝒇𝒊)
𝑥 ̅ = 35 + 10 × 210/300
𝑥 ̅ = 35 + 7
𝒙 ̅ = 42
Thus, Mean age of passengers is 42 years
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