Practice Histogram in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
A histogram is a bar chart of a frequency distribution where bars represent count or density of data within consecutive equal-width intervals (bins).
Group data into bins and count how many fall in each. Shows the shape of data.
Example 1
easyThe following data represent exam scores: \{52, 64, 68, 71, 75, 75, 78, 82, 85, 88, 90, 93\}. Group them into intervals [50,70), [70,80), [80,90), [90,100] and describe how to construct a histogram.
Example 2
mediumA histogram of household incomes is skewed right. Describe what this means and explain why the mean would be greater than the median for this distribution.
Example 3
easyA histogram has bars at intervals [0,10), [10,20), [20,30), [30,40) with frequencies 5, 12, 8, 3. What is the total number of data points, and which interval contains the mode?
Example 4
hardTwo histograms of test scores have the same mean (75) but different shapes: one is symmetric and bell-shaped, the other is left-skewed. Explain what additional information the shapes provide that the mean alone does not.