A soccer team tracks the number of goals they score in a game on the dot plot. Complete the table to record the deviation of each data point. (2 points) Data Point 1 2 3 4 5 Deviation

1 answer

To complete a table for the deviation of each data point in a dot plot, you'll first need to calculate the mean (average) of the data set. The deviation for each data point is calculated as the difference between each data point and the mean.

Here’s a step-by-step process to assist you, given a hypothetical set of data points. Let's assume the dot plot shows the following goals scored in each game:

  1. Goals scored: 1, 2, 2, 3, 5

Step 1: Calculate the Mean

Mean = (Sum of all data points) / (Number of data points)

In our case:

  • Sum = 1 + 2 + 2 + 3 + 5 = 13
  • Number of data points = 5

Mean = 13 / 5 = 2.6

Step 2: Calculate Deviation for Each Data Point

  • Deviation for Data Point 1 (1): 1 - 2.6 = -1.6
  • Deviation for Data Point 2 (2): 2 - 2.6 = -0.6
  • Deviation for Data Point 3 (2): 2 - 2.6 = -0.6
  • Deviation for Data Point 4 (3): 3 - 2.6 = 0.4
  • Deviation for Data Point 5 (5): 5 - 2.6 = 2.4

Completed Table

| Data Point | Goals Scored | Deviation | |------------|--------------|-----------| | 1 | 1 | -1.6 | | 2 | 2 | -0.6 | | 3 | 2 | -0.6 | | 4 | 3 | 0.4 | | 5 | 5 | 2.4 |

You can replace the goals scored with the actual values from your dot plot to generate the specific deviations.