The following table shows the ages of the patients admitted in a hospital during a year: Age (in years) 5 - 15 15 - 25 25 - 35 35 - 45 45 - 55 55 - 65 Number of patients 6 11 21 23 14 5 Find the mode and the mean of the data given above. Compare and interpret the two measures of central tendency

Question

Philoid · Accepted Answer

As per the question:

Modal class = 35 -45

l = 35

h = 10

f1 = 23

f0 = 21

f2 = 14

=

= 36.8

The above given data can be represented in the form of table as below:

Class Interval	fi	xi	fixi
5-15	6	10	60
15-25	11	20	220
25-35	21	30	630
35-45	23	40	920
45-55	14	50	700
55-65	5	60	300
	∑fi=80		∑fixi=2830

= 35.37

The mode of the data shows that maximum number of patients in the age group of 26.8, whereas the average age of all the patients is 35.37

Age (in years)	5 - 15	15 - 25	25 - 35	35 - 45	45 - 55	55 - 65
Number of patients	6	11	21	23	14	5

The following table shows the ages of the patients admitted in a hospital during a year:Age (in years)5 - 1515 - 2525 - 3535 - 4545 - 5555 - 65Number of patients6112123145Find the mode and the mean of the data given above. Compare and interpret the two measures of central tendency