Incomplete Distribution with Modal Mark as 44

Introduction:
In statistics, an incomplete distribution is a frequency distribution in which some data values are missing. In this question, we are given an incomplete distribution with the modal mark as 44 and we are required to fill in the missing values.

Modal Mark:
The modal mark is the value in a frequency distribution that occurs most frequently. In this case, the modal mark is 44.

Frequency Distribution:
The frequency distribution is a table that shows the number of times each value appears in a set of data. In this case, the frequency distribution is as follows:

Marks: 0_20 20_40 40_60 60_80 80_100
Students: 5 18 ? 12 5 ?

Filling in the Missing Values:
To fill in the missing values, we need to use the information we already have. We know that the modal mark is 44, so we can assume that the missing values are close to this mark.

Using the formula for finding the modal class, we get:

Modal class = L + ((f1 - f0) / ((2f1 - f0 - f2) x h))

where L is the lower limit of the modal class, f1 is the frequency of the modal class, f0 is the frequency of the class before the modal class, f2 is the frequency of the class after the modal class, and h is the class width.

In our case, the modal class is 40-60, so we can use this formula to find the missing values.

Let's assume that the frequency of the class before the modal class (20-40) is x and the frequency of the class after the modal class (60-80) is y. Then we get:

44 = 40 + ((18 - x) / ((2 x 18 - x - y) x 20))

Solving this equation, we get:

x = 11, y = 12

Therefore, the missing values are:

Marks: 0_20 20_40 40_60 60_80 80_100
Students: 5 18 29 12 5 11

Conclusion:
In conclusion, we can fill in the missing values in an incomplete distribution by using the formula for finding the modal class and assuming that the missing values are close to the modal mark.