Frequency Density Histograms Frequency Density Histograms A histogram is a Graphical representation which shows the distribution of data. A histogram contains frequency which is known as tabular frequency which shows as adjacent Rectangle and the height of the rectangle depends upon the total Numbers of data items, it means frequency of histogram is divided by the width of the interval. If we want to find the area of a histogram then the area of histogram is equal to the number of data which are given. We can also find out the relative frequency of a histogram in the normalized form. It is also used to design the density of data and the total area of histogram is used to find the Probability which is always normalized to 1. There are two axis in a histogram which are known as ‘x’ and y- axis. The Independent variables are plotted along the horizontal axis and the dependent variables are plotted along the vertical axis. Know More About Exponential Growth And Decay Worksheet
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The height of grouped Frequency Histogram is equals to the height of rectangle. Now we will see how to find the frequency density Histograms by dividing the frequency by the group width. Learn how to calculate the frequency density by dividing the frequency by the group width. A histogram is usually drawn when you have continuous data and the groups in the frequency table are of unequal size. To draw a histogram you will need to work out the frequency density. The frequency density can be calculated by using the following formula: Frequency density = frequency ÷ class width The class width is basically the width of the group. The frequency density goes up the y-axis, and the area of each bar will represent the frequency. Let’s look at a couple of examples on working out the frequency densities. Example 1 Here is a frequency table on the weight of 17 people. Calculate the frequency densities needed to draw a histogram. First, work out the frequency density for the 60kg up to 70kg group. The class width here is 10. Read More About Is 0 a Significant Figure
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Frequency density = 11 ÷ 10 = 1.1 Next, work out the frequency density for the 70kg up to 75kg group. The class width here is 5. Frequency density = 1 ÷ 5 = 0.2 Finally, work out the frequency density for the 75kg up to 95kg group. The class width here is 20. Frequency density = 5 ÷ 20 = 0.25 So the frequency densities are 1.1, 0.2 and 0.25. Example 2 Here is another frequency table this time on the heights of a group of people. Calculate the frequency densities needed to draw a histogram.
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