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A dataset has classes with unequal widths. Explain how to adjust the histogram so the heights correctly reflect the frequency density.
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Nov 25
34
Construct a cumulative frequency graph (ogive) for a dataset of 60 values ranging from 10 to 70, using 6 equal classes. Then, estimate the median from the graph.
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Nov 25
32
Given two datasets with the same mean and standard deviation, how can frequency histograms show differences in the shape of distributions?
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Nov 25
36
A researcher records 120 measurements in a study. How would you determine the optimal number of classes for a histogram using Sturges’ formula, and why might this be insufficient for very large datasets?
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Nov 25
35
Given a grouped frequency distribution, derive a formula to estimate the mean and standard deviation from class midpoints and frequencies.
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Nov 25
35
A dataset produces a histogram that is bimodal. Explain how to modify the frequency table to clearly show the two peaks, and discuss the implications for measures of central tendency.
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Nov 25
38
A frequency distribution is constructed with 7 classes, but two classes have zero frequencies. Explain how this affects the histogram and cumulative frequency curve, and the interpretation of the data distribution.
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Nov 25
36
Given a frequency distribution, explain how to detect outliers using a histogram and cumulative frequency curve.
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Nov 25
31
A dataset of 50 exam scores ranges from 32 to 98. If you are asked to create a frequency distribution with 8 classes, determine the class width and construct the class limits.
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Nov 25
33
What is a frequency distribution?
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Nov 25
30