In a hospital, the ages of diabetic patients were recorded as follows. Find the median age.
Age (in year) $0 - 15$ $15 - 30$ $30 - 45$ $45 - 60$ $60 - 75$
Number of patients $5$ $20$ $40$ $50$ $25$

Question

In a hospital, the ages of diabetic patients were recorded as follows. Find the median age.Age (in year)0−1515−3030−4545−6060−75Number of patients520405025

Filo · Accepted Answer

Class-Interval           Frequency       Cf0−15                      5                         515−30                   20                       2530−45                   40                       6545−60                  	50                       11560−75                   25                       140Where cf= cumulative frequencyMedian =1+⎩⎨⎧​h×f(2N​−cf)​⎭⎬⎫​Here:N=140N/2=70cf>70 is 140Median class =45−60So, I=45, h=15, f=50 andcf=cf of preceding class i.e. 65Substitute all the value in the above formula, we getMedian =45+{15×(70−65)/50}=45+1.5=45.5Therefore , median age of diabetic patients is 46.5 years.

Question Text	In a hospital, the ages of diabetic patients were recorded as follows. Find the median age.
Answer Type	Text solution:1
Upvotes	152

In a hospital, the ages of diabetic patients were recorded as follows. Find the median age.
Age (in year) $0 - 15$ $15 - 30$ $30 - 45$ $45 - 60$ $60 - 75$
Number of patients $5$ $20$ $40$ $50$ $25$

Text solutionVerified

Practice questions from similar books

Age (in year)	$0 - 15$	$15 - 30$	$30 - 45$	$45 - 60$	$60 - 75$
Number of patients	$5$	$20$	$40$	$50$	$25$