Andrei’s school has announced that they will be cancelling wood shop because not enough students are interested. Over the next few weeks, Andrei and his friends gathered data about wood shop. They learned that in 2008, there were 30 out of 100 seventh graders and 40 out of 100 eighth graders who had participated in wood shop. Then in 2009, the numbers had increased. There were 40 seventh graders and 58 eighth graders who had participated. Andrei and his friends believe the data suggests that wood shop is increasing in popularity and should not be cancelled. How can the students clearly show the information they have gathered on a chart?
In this concept, you will learn how to draw different types of graphs to display data.
Real-world data can be easily and accurately represented by using bar graphs, frequency tables and histograms. Although the actual data values are lost when data is shown using one of the displays mentioned here, what the data represents is visual and clear to an observer.
The data table below depicts the ages of twenty of our nation’s presidents at the time of their Inauguration. Create a bar graph, frequency table, and histogram to display the data.
Jon Quincy Adams
Martin Van Buren
William Henry Harrison
Dwight D. Eisenhower
John F. Kennedy
Lyndon B. Johnson
George W. Bush (1989 - 1993)
George W. Bush (2001 - 2008)
A bar graph consists of rectangular bars and a corresponding category. The above table of the ages can be used to create the bar graph.
To create the bar graph:
First, draw the horizontal (x)axis and the vertical (y) axis.
Next, label the horizontal axis (President’s Name) with their last names.
Next, label the vertical axis in increments of 10 with the Age (Years).
Next, draw a vertical column with a height corresponding to the president’s age above each of the names.
Then, enter the data value (age of the president) above each of the bars.
Your bar graph should display the information shown below:
Now that you have created a bar graph, you can create a histogram to represent the data. To create a histogram the data must be displayed in a frequency table. Remember to include the three columns in your frequency table- Interval, Tally and Frequency.
First, calculate the number of intervals you need for your table. Determine the range of the data by subtracting the smallest value from the largest value. Then divide the range by the interval size. For this table use an interval of size 4.
RangeRangeRange===largest value - smallest value69−4326
# of intervals# of intervals# of intervals===RangeInterval Size264=6.57
Next, draw and label the frequency table.
Frequency (Number of Presidents)
Next, fill in the table with the correct information.
Frequency (Number of Presidents)
Then, use the interval and frequency columns to draw the histogram.
First, draw a horizontal (x) and vertical (y) axis.
Next, label the horizontal axis with the intervals displayed on the frequency table.
Next, add a title to the horizontal axis.
Next, label the vertical axis by ones.
Next, add a title to the vertical axis.
Next, draw a vertical column to the appropriate value for each interval on the horizontal axis.
Andrei and his friends need to clearly show the data they collected. In 2008, 30 out of 100 seventh graders and 40 out of 100 eighth graders participated in wood shop. In 2009, 40 out of 100 seventh graders and 58 out of 100 eighth graders participated.
First, draw the horizontal axis and the vertical axis.
Next, label the horizontal axis with the years 2008 and 2009.
Next, label the vertical axis with a scale to represent the number of students. Since there are 100 students in grade seven and 100 in grade eight use increments of 10 for your scale.
Next, label the bar graph with a suitable title that tells what the bar graph represents.
Next, include a legend with your bar graph showing the color of the bar for 7th grade and the color of the bar for 8th grade.
Then, draw the bar graph such that each year has two bars displayed above it.
1. How many students spend less than 30 minutes studying?
2. How many students spend greater than 60 minutes studying?
3. How many students spend greater than 90 minutes studying?
4. How many students spend between 2 and 212hours studying?
5. If this histogram is the result of a survey, was the number of students surveyed greater than 100?
The recreation director in a small community asked children between the ages of 13 to 16 to name their favorite sport from a list of six choices. The results of the survey are displayed on the following bar graph according to the selections made by boys and girls.
Use the information shown on the graph to answer the questions presented below.