What type of graph does not show the number of times a response was given?
• box-and-whisker plot
• line plot
• stem-and-leaf plot
• bar graph
A line plot does not show the number of times a response was given. It only displays the frequency distribution of a set of data on a number line.
The type of graph that does not show the number of times a response was given is a line plot.
To understand which type of graph does not show the number of times a response was given, let's go through the options one by one:
1. Box-and-Whisker Plot: A box-and-whisker plot displays the distribution of a dataset by showing the minimum, maximum, median, and quartiles. It does not directly show the number of times a response was given, but rather provides a visual representation of the spread and central tendency of the data.
2. Line Plot: A line plot, also known as a dot plot, is a simple graph that displays data points as dots within a number line. Each dot represents an occurrence of a data point, so line plots do show the frequency or number of times a response was given. Therefore, line plots do show the number of times a response was given.
3. Stem-and-Leaf Plot: A stem-and-leaf plot is a way of organizing data points to display their distribution. It shows each data point separately, representing its stems and leaves. Although it does not explicitly mention the number of times a response was given, it indicates the frequency of each data point by the number of leaf entries. Therefore, stem-and-leaf plots do show the number of times a response was given.
4. Bar Graph: Finally, a bar graph is a type of chart that uses rectangular bars to represent data categories and their values. The length of each bar represents the quantity or value it represents. Bar graphs do show the number of times a response was given as it directly corresponds to the height or length of each bar.
Thus, out of the given options, the type of graph that does not show the number of times a response was given is a line plot.