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:

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# 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 â€“ 45,

l = 35,

class width (h) = 10,

f

_{m}Â = 23,f

_{1}Â = 21 and f_{2}Â = 14The formula to find the mode is

Mode

= l+ [(f_{m}-f_{1})/(2f_{m}-f_{1}-f_{2})]Ã—hSubstitute the values in the formula, we get

Mode = 35+[(23-21)/(46-21-14)]Ã—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, x

_{i }= (upper limit +lower limit)/2The mean formula is

Mean = xÌ„ = âˆ‘f

_{i}x_{i}Â /âˆ‘f_{i}= 2830/80

= 35.37 years

Therefore, the mean of the given data = 35.37 years