When creating histograms, which is true statement?
a) Form classes of equal width
b) Alwyas form frequency groups that do not overlap
c) Establish between five and 15 frequency groups
d) All of the above.
To determine which statement is true when creating histograms, let's examine each option:
a) Form classes of equal width: This statement is true. When constructing a histogram, it is important to create classes or intervals of the same width. This ensures that each data point falls into only one interval and helps maintain consistency in analyzing the data.
b) Always form frequency groups that do not overlap: This statement is not true. Frequency groups or intervals in a histogram can sometimes overlap. For example, if you have a data set ranging from 0 to 100 and you want to create intervals of width 10, you might have intervals like 0-10, 10-20, 20-30, and so on. As long as the intervals are clearly defined and non-overlapping, this approach is acceptable.
c) Establish between five and 15 frequency groups: This statement is a general guideline but not an absolute rule. The number of frequency groups depends on the range and spread of the data, as well as the purpose of creating the histogram. It is recommended to aim for a moderate number of groups to effectively represent the data distribution but avoid excessive clustering or spreading out of the bars.
d) All of the above: This statement is false. While statement a) is true, statement b) is not always true, and statement c) is a general guideline rather than a definite rule. Therefore, option d) is incorrect.
Given the analysis, the correct answer would be option a) "Form classes of equal width."