Consider the data :
Class | |||||||
Frequency |
The difference of the upper limit of the median class and the lower limit of the modal class is
Step 1: Create cumulative frequency table
To find the median and mode of the given grouped data, we need the cumulative frequency.
The cumulative frequency table is:
Class | Frequency | Cumulative Frequency |
Step 2: Finding the median class
Median class: The class whose cumulative frequency is greater than and near to term is called the median class of grouped data.
From the above data
that lies in the interval .
Hence, upper limit of median class is .
Step 3: Finding the modal class
Modal Class: Modal class refers to the class having the highest frequency.
Here, we observe that the highest frequency is which lies in .
Hence, the lower limit of modal class is .
Step 4: Find the Required differences
Thus, the difference of the upper limit of the median class and the lower limit of the modal class is .
Hence, the correct option is C.