The median of the following data is

The correct answer is: 144.5

 Given :


Steps to find median 
Step 1 : Fix the class interval by subtracting 0.5 from lower limit and adding 0.5 to the upper limit of each interval

Class Interval	Frequency
109.5 - 119.5	5
119.5 - 129.5	25
129.5 - 139.5	40
139.5 - 149.5	60
149.5 - 159.5	40
159.5 - 169.5	25
169.5 - 179.5	5
	n = 200

Step 2: Find the total number of observations(n) = 200
Step 3: Define the class size(h), and divide the data into different classes = 10
Step 4: Calculate the cumulative frequency of each class.

Class Interval	Frequency	Cumulative Frequency
109.5 - 119.5	5	5
119.5 - 129.5	25	30
129.5 - 139.5	40	70
139.5 - 149.5	60	130
149.5 - 159.5	40	170
159.5 - 169.5	25	195
169.5 - 179.5	5	200
	n = 200

Step 5: Identify the class in which the median falls. (Median Class is the class where n/2 lies.)
Median class = 
Thus the median class is 139.5 - 149.5
Step 6: Find the
lower limit of the median class(l) =  139.5,
and the cumulative frequency of the class preceding the median class (c) = 70
Now, use the following formula to find the median value.