Graphically Representing Data with Histograms

This lesson teaches how to graphically represent data using histograms. It explains the concept of intervals and frequency, differentiates histograms from bar graphs, and provides a step-by-step guide to creating a histogram using speeding data. The lesson emphasizes the importance of grouping data into intervals to identify trends and patterns.

What is the primary purpose of a histogram?

• To compare two different data sets

• To show data grouped into intervals

• To display individual data points

• To calculate the average of a data set

Which of the following is a key difference between a histogram and a bar graph?

• Bar graphs are always taller than histograms

• Histograms use colors, bar graphs do not

• Bar graphs show intervals, histograms show distinct points

• Histograms show intervals, bar graphs show distinct points

Why can't we determine the exact number of athletes who scored 17 points from a histogram?

• Because 17 is not a valid data point

• Because histograms only show data for even numbers

• Because histograms do not display any numerical data

• Because histograms only show the total frequency within an interval

What is the first step in creating a histogram from a data set?

• Calculating the mean

• Sorting data into intervals

• Labeling the axes

• Drawing the bars

In the example of speeding drivers, what was the most common speed range?

• 70-74 miles per hour

• 85-89 miles per hour

• 75-79 miles per hour

• 80-84 miles per hour