Question

The sum of all frequency for all classes will always equal
A. \[1\]
B. The number of elements in a data set
C. The number of classes
D. The value between \[0\] to \[1\]

Answer 1

Hint: Since the frequency is the number of times a certain value occurs in statistical data. When we add these frequencies, we will get the number of elements in that data set as each frequency represents the number of times that particular element occurs in the data.

Complete Answer:
Let’s assume a hypothetical data, various values occur multiple times and we have divided that given data or values in the certain interval and that interval is termed as a class and the lower value is called lower limit and the upper interval is called the lower limit of that class respectively.
Since various values occur multiple times in that data, then the number of times a certain value occurs is called the frequency of that class. This means all the classes have their own respective frequency and that represents the repetition of that values and when we add all these frequencies, we will get the number of elements in the given data.

Hence, a sum of all frequency for all classes will always equal the number of elements in the given data.

Note:
The sum of all the frequencies for all classes is equal to the number of elements in the given data and that summation is termed as the cumulative frequency which defines the number of entries of that statistical data.