Final answer:
A frequency distribution displays grouped data with their frequencies. The percent frequency distribution can be obtained by dividing each frequency by the total and multiplying by 100. A histogram, pie chart, cumulative frequency table, and bar graph can be used to represent the frequency distribution.
Step-by-step explanation:
A frequency distribution is a data representation that displays the grouped data along with their corresponding frequencies. In this case, the class frequencies are given as A: 2, B: 4, C: 3, and D: 1. To show the percent frequency distribution, you need to divide each class frequency by the total, which is 10, and multiply by 100. For example, the percent frequency for class A is (2/10) * 100 = 20%. Similarly, the percent frequencies for classes B, C, and D are 40%, 30%, and 10% respectively.
To display the frequency distribution in a histogram, you can represent each class as a bar on the x-axis and the corresponding frequency on the y-axis. The height of each bar represents the frequency. For the pie chart, you can represent each class as a slice of the pie, with the size of the slice proportional to the frequency. The cumulative frequency table shows the running total of frequencies, which can be calculated by adding up the frequencies for each class in order. Finally, the percent frequency distribution can be illustrated in a bar graph, where each class is represented as a category on the x-axis and the corresponding percent frequency is represented by the height of each bar.