How i solve the problem of question of statistics of exercise 14.2 of question no.2 of class 10th ncert give me the best way to solve this problem in easy way The following data gives the information on the observed lifetimes (in hours) of 225 electrical components:Determine the modal lifetimes of the components.
From the given data the modal class is 60–80.
l = 60,
The frequencies are:
fm = 61, f1 = 52, f2 = 38 and h = 20
The formula to find the mode is
Mode = l+ [(fm-f1)/(2fm-f1-f2)]×h
Substitute the values in the formula, we get
Mode =60+[(61-52)/(122-52-38)]×20
Mode = 60+((9 x 20)/32)
Mode = 60+(45/8) = 60+ 5.625
Therefore, modal lifetime of the components = 65.625 hours.