Question

The upper limit of the median class of the following frequency distribution is

Class Interval	50-70	70-90	90-110	110-130	130-150	150-170
Number of Students	15	21	32	19	8	5

• A. 110
• B. 90
• C. 130
• D. 70

Answer 1

The Correct Option is A

The cumulative frequencies are: 

50-70: 15 50-90: 15+21 = 36 
50-110: 36+32 = 68 
50-130: 68+19 = 87 
50-150: 87+8 = 95 
50-170: 95+5 = 100 

The total number of observations is 100. 

The median is the value such that half the observations are below it and half are above it. 

Since there are 100 observations, the median will be the average of the 50th and 51st observations. 

The cumulative frequency tells us the number of observations below the upper limit of each class. 

The 50th and 51st observations will lie in the class interval 90-110 since the cumulative frequency of the 50-90 class is 36, and the cumulative frequency of the 50-110 class is 68. 

So the median class is 90-110. The upper limit of the median class is 110.