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Frequency density is the frequency per unit for the data in each class. It is calculated by dividing the frequency by the class width ie the difference between the upper limit of the class interval and the lower limit of the class interval. We use frequency density to plot histograms.
What is frequency density? Frequency density is given by the formula; Frequency density is used with grouped data (class intervals) it is particularly useful when the class intervals are of unequal width; it provides a measure of how spread out data within its class interval is, relative to its size; For example,
The frequency density formula is a calculation that involves dividing the frequency by the class width. We use frequency density to plot histograms which show frequency distribution. The larger the area of the bar on a histogram, the higher the frequency. We can calculate the frequency density by using the formula.
Frequency density. A histogram is drawn like a bar chart, but often has bars of unequal width. It is the area of the bar that tells us the frequency in a histogram, not its height. Key fact....
For a set of grouped data, the frequency density of a class is defined by \[\text{frequency density}=\frac{\text{frequency}}{\text{class width}}.\] It gives the frequency per unit for the data in this class, where the unit is the unit of measurement of the data.
On a histogram frequency density is plotted on the y – axis. This allows a histogram to be plotted for unequal class intervals. It is particularly useful if data is spread out at either or both ends. The area of each bar on a histogram will be proportional to the frequency in that class.
Frequency density tells us the ratio of a frequency of a class to its width. We can calculate frequency density by using the formula that frequency density is equal to frequency over the class width.
Frequency Density. In order to make this work, when drawing a histogram, we plot frequency density on the y -axis rather than frequency. The frequency density for each group is found using the formula: \text {frequency density} = \dfrac {\text {frequency}} {\text {class width}}
One of you asked me to help solving the following exam question involving mode, median and mean. I will also explain to you how to calculate the mean when given a grouped frequency table. Finally you will learn what a histogram is and what is meant with frequency density.
When drawing a histogram, the y-axis is labelled ‘frequency density’ or "relative frequency". You must work out the relative frequency before you can draw a histogram. To do this, first decide upon a standard width for the groups.
