Answer :
Final answer:
In a frequency distribution, the number of classes, which are represented as bars in a histogram, depends on the size of the data set. The distribution should be normal for small sample sizes and may or may not be normal for large ones. The frequency and relative frequency provide important insights into the data.
Explanation:
The number of classes in a frequency distribution does indeed depend on the size of the dataset involved. A frequency refers to the number of times a value of the data occurs. To construct a histogram, which is a form of frequency distribution, you should firstly determine how many bars or intervals (also called classes) will be representative of your data. Typically, histograms consist of five to 15 bars or classes for clarity The law of large numbers indicates that as the size of the sample increases, the difference between the theoretical probability and the relative frequency approaches zero. In other words, they are more likely to mirror each other closely. It's worth noting that if sample sizes are small, the distributions should be normal, while for large sample sizes, the distributions need not necessarily be normal. Let's take an example. If 20 students were asked about the number of hours they worked per day, the responses would then be organized in a list or table with data values in ascending order and their corresponding frequencies.
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