Relative frequency of a particular class interval lies between —?
Relative frequency of a particular class interval lies between 0 and 1.
Explanation:
Relative frequency is a measure of the proportion or percentage of data values that fall within a specific class interval in relation to the total number of data values. It is calculated by dividing the frequency of the class interval by the total frequency of all class intervals.
Relative frequency is expressed as a decimal or a fraction, and it always lies between 0 and 1. This is because the numerator of the relative frequency calculation represents the number of occurrences of the specific class interval, which cannot exceed the total number of data values. Therefore, the numerator is always less than or equal to the denominator.
To understand this concept further, let's consider an example. Suppose we have a dataset of 100 data values and we want to calculate the relative frequency of a particular class interval that has a frequency of 20.
- The numerator of the relative frequency calculation is the frequency of the class interval, which is 20.
- The denominator is the total frequency of all class intervals, which is 100.
By dividing the numerator by the denominator (20/100), we get a relative frequency of 0.2 or 20%. This means that 20% of the data values fall within the specific class interval.
Key Points:
- Relative frequency is a measure of the proportion or percentage of data values that fall within a specific class interval.
- It is calculated by dividing the frequency of the class interval by the total frequency of all class intervals.
- Relative frequency is expressed as a decimal or a fraction.
- The numerator of the relative frequency calculation represents the number of occurrences of the specific class interval, which cannot exceed the total number of data values.
- Therefore, the relative frequency always lies between 0 and 1, as the numerator is always less than or equal to the denominator.