compute the median for the following frequency distribution:
wieght- (less than 38) (less than 40) (less than 42) (less than 44) (>46) (>48) (>50) (>52)
number
of students- 0 3 5 9 14 28 32 35
Given distribution table is :
Weight of the students (In kg) | No. of Students |
Less than 38 | 0 |
Less than 40 | 3 |
Less than 42 | 5 |
Less than 44 | 9 |
Less than 46 | 14 |
Less than 48 | 28 |
Less than 50 | 32 |
Less than 52 | 35 |
To obtain the Cumulative Frequency, construct the following table :
We know that,
Where l is lower limit of the median class.
cf = 14 (Frequency of the class preceding to the median class)
f is the frequency of median class which is 14.
and h is the class size of each group which is 2.
