Understanding Histograms
This worksheet helps 8th-grade students understand and interpret histograms, including frequency, intervals, and data distribution.
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Understanding Histograms
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Read each question carefully and answer to the best of your ability. Show your work where necessary.
A histogram is a graphical representation of the distribution of numerical data. It is an estimate of the probability distribution of a continuous variable and was first introduced by Karl Pearson. It is similar to a bar chart, but it groups numbers into ranges, and you decide what ranges to use. The bars in a histogram must touch.
The histogram below shows the number of minutes students spent on their math homework last night.
1. What is the frequency of students who spent 21-30 minutes on their math homework?
2. Which interval of time has the highest frequency of students?
3. How many students spent more than 40 minutes on their homework?
4. Which of the following statements is true about histograms?
Bars in a histogram usually have gaps between them.
Histograms are used for categorical data.
The height of each bar represents the frequency of data in that interval.
The x-axis of a histogram represents categories.
5. What is the main difference between a bar graph and a histogram?
Bar graphs use numbers, histograms use words.
Bar graphs show continuous data, histograms show discrete data.
Bar graphs compare different categories, histograms show the distribution of numerical data.
There is no difference.
6. In a histogram, the data is grouped into .
7. The vertical axis of a histogram represents the .
8. Histograms are best used for displaying the distribution of data.
9. Explain why the bars in a histogram must touch each other.