By David A. Bainbridge

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Step 2 Determine the cumulative frequencies. The cumulative frequency for an interval is the total frequency below the upper exact limit of the interval, and it is noted in the column headed \Cum. " Begin at the bottom by entering 1 for the single case in the interval 50–54. 5. 5. You continue to work your way up to the top by adding the frequency of each class interval to the cumulative frequency for the interval immediately below. As a check, the cumulative frequency for the uppermost class interval should equal n, the total number of cases.

Nonetheless, the normal distribution is of great importance in statistical inference, and you will hear much about it in subsequent chapters. 10b) is rather like two normal distributions placed on the same scale, slightly offset. The two humps of a bimodal distribution indicate two locations of central tendency, and they could be telling you that there are two groups in the sample. For example, a bimodal distribution might be obtained if you gave males and females a test of physical strength. When a bimodal distribution is obtained unexpectedly, the immediate task is to uncover why.

34 (or 34%) of the cases must have scores between 50 and 60. Harness this principle, for it applies to much of the statistical reasoning to follow. 5 40 50 Score 60 70 Normal curve with a histogram superimposed. Characteristics of Frequency Distributions Inspection of a carefully constructed, well-labeled histogram can tell you much about the key characteristics of a set of data. Several of these characteristics are 44 Chapter 3 Graphic Representation examined in detail in the next few chapters, and we will revisit them throughout the remainder of the text.

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