Question

error analysis the table represents the price and the number of items sold your friend incorrectly says that the cluster in the graph is between the prices of $3 and $25 and between 10 and 25 items sold. make a scatter plot to represent the data. identify the cluster in the graph. what error might your friend have made? click the icon to view the table. which graph below represents the data? a. b. c. d. price and number of items sold items sold price 15 23 16 17 19 20 20 22 25 24 3 number of items 10 17 15 11 13 10 17 13 14 20 25

Explanation:

Step1: Analyze the scatter - plot data points

We have pairs of (Price, Number of Items). For example, when Price = 15, Number of Items = 10; when Price = 23, Number of Items = 17; when Price = 16, Number of Items = 15; when Price = 17, Number of Items = 11; when Price = 19, Number of Items = 13; when Price = 20, Number of Items = 10; when Price = 20, Number of Items = 17; when Price = 22, Number of Items = 13; when Price = 25, Number of Items = 14; when Price = 24, Number of Items = 20; when Price = 3, Number of Items = 25.

Step2: Check the axes of the scatter - plots

In a scatter - plot for this data, the x - axis should be Price (in dollars) and the y - axis should be Number of Items.

Step3: Analyze each option

• Option A: The axes are swapped (x - axis is Number of Items and y - axis is Price), so it is incorrect.
• Option B: The data points do not match the (Price, Number of Items) pairs. For example, the point corresponding to Price = 3 should have a high Number of Items (25), but in this graph, the point for x = 3 (Price) has a low y - value (Number of Items).
• Option C: The data points do not match the (Price, Number of Items) pairs. For example, the point corresponding to Price = 3 should have a high Number of Items (25), but in this graph, the point for x = 3 (Price) has a low y - value (Number of Items).
• Option D: The x - axis is Price and the y - axis is Number of Items. The data points (3,25), (15,10), (16,15), (17,11), (19,13), (20,10), (20,17), (22,13), (23,17), (24,20), (25,14) are plotted correctly.

For the cluster:

Step4: Identify the cluster

Looking at the data points (excluding the out - lier (3,25)), most of the data points (Price, Number of Items) are in the region where Price is between 15 and 25 and Number of Items is between 10 and 20.

Step5: Analyze the friend's error

The friend likely included the out - lier (3,25) when identifying the cluster. The point (3,25) is far from the main group of data points.

Answer:

The correct graph is D. The cluster is between the prices of $15$ and $25$ and between $10$ and $20$ items sold. The friend's error was including the out - lier (the point with price $3$) when identifying the cluster.