Questions: A histogram has the same shape and horizontal scale as a histogram but the vertical scale is marked with relative frequencies instead of actual frequencies.

Solution Steps

A histogram that has the same shape and horizontal scale as a regular histogram but uses relative frequencies on the vertical scale is called a relative frequency histogram.

Relative frequency is calculated as the frequency of a particular class divided by the total number of observations. Mathematically, it is expressed as: \[ \text{Relative Frequency} = \frac{\text{Frequency of the class}}{\text{Total number of observations}} \]

In a regular histogram, the vertical scale represents the actual frequency of each class. In a relative frequency histogram, the vertical scale represents the proportion or percentage of the total data that falls into each class. The shape and horizontal scale remain the same in both types of histograms.

Final Answer