What is the best way to solve the problem of question of statistics of exercise 14.2 of class 10th math of question no.1, how i solve this problem in easy way The following table shows the ages of the patients admitted in a hospital during a year:
AnilSinghBoraGuru
The following table shows the ages of the patients admitted in a hospital during a year: Q.1
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To find out the modal class, let us the consider the class interval with high frequency
Here, the greatest frequency = 23, so the modal class = 35 – 45,
l = 35,
class width (h) = 10,
fm = 23,
f1 = 21 and f2 = 14
The formula to find the mode is
Mode = l+ [(fm-f1)/(2fm-f1-f2)]×h
Substitute the values in the formula, we get
Mode = 35+[(23-21)/(46-21-14)]×10
Mode = 35+(20/11) = 35+1.8
Mode = 36.8 year
So the mode of the given data = 36.8 year
Calculation of Mean:
First find the midpoint using the formula, xi = (upper limit +lower limit)/2
The mean formula is
Mean = x̄ = ∑fixi /∑fi
= 2830/80
= 35.37 years
Therefore, the mean of the given data = 35.37 years