Introduction to Scatter Plots: Tutorial
Christina researched 10 sedans and recorded their prices and the number of stars they were given. The table contains her data. Which points on the graph represent this data?
Stars
Price (thousand dollars)
3
14
3.5
16
5
21
4.5
18
3
16
4
22
4.5
24
2
13
2
15
Answer (1)
The problem provides a table of data with star ratings and prices for sedans.
Each row in the table represents a point (stars, price) to be plotted on a scatter plot.
The data points are: (3, 14), (3.5, 16), (5, 21), (4.5, 18), (3, 16), (4, 22), (4.5, 24), (2, 13), (2, 15).
These points represent the data on the scatter plot. See the points in the explanation.
Explanation
Understanding the Problem We are given a table of data representing the stars and prices of 10 sedans. Our goal is to identify the points on a graph that correspond to this data. Each row in the table gives us a coordinate pair (stars, price), where 'stars' is the x-coordinate and 'price' is the y-coordinate.
Listing the Data Points The data points from the table are:
(3, 14)
(3.5, 16)
(5, 21)
(4.5, 18)
(3, 16)
(4, 22)
(4.5, 24)
(2, 13)
(2, 15)
Plotting the Points on the Graph These points should be plotted on the graph. The x-axis represents the number of stars, and the y-axis represents the price in thousands of dollars.
Identifying the Points The points on the graph that represent the data are:
(3, 14), (3.5, 16), (5, 21), (4.5, 18), (3, 16), (4, 22), (4.5, 24), (2, 13), (2, 15)
Examples
Scatter plots are used in many real-world scenarios. For example, a company might use a scatter plot to visualize the relationship between advertising spending and sales revenue. Each point on the plot represents a different marketing campaign, with advertising spending on the x-axis and sales revenue on the y-axis. By analyzing the pattern of the points, the company can gain insights into the effectiveness of their advertising efforts. Another example is in healthcare, where scatter plots can be used to examine the correlation between a patient's age and their blood pressure. Each point represents a patient, with age on the x-axis and blood pressure on the y-axis. This can help doctors identify potential risk factors and develop personalized treatment plans.
