IM 6.8.10 Lesson: Finding and Interpreting the Mean as the Balance Point
Which expression does not belong? Be prepared to explain your reasoning.
[table][tr][td][math]\frac{8+8+4+4}{4}[/math][/td][td][/td][td][math]\frac{10+10+4}{4}[/math][/td][td][/td][td][math]\frac{9+9+5+5}{4}[/math][/td][td][/td][td][math]\frac{6+6+6+6+6}{5}[/math][/td][/tr][/table]
Here is the data set from an earlier lesson showing how long it takes for Diego to walk to school, in minutes, over 5 days. The mean number of minutes is 11.
[table][tr][td]12[/td][td][/td][td]7[/td][td][/td][td]13[/td][td][/td][td]9[/td][td][/td][td]14[/td][/tr][/table]
Represent Diego’s data on a dot plot. Mark the location of the mean by using red triangle.
[size=150]The mean can also be seen as a [b]measure of center[/b] that balances the points in a data set. If we find the distance between every point and the mean, add the distances on each side of the mean, and compare the two sums, we can see this balancing.[/size]
Record the distance between each point and 11 and its location relative to 11.
Sum of distances left of 11: ___________ Sum of distances right of 11: ___________
What do you notice about the two sums?
Can another point that is not the mean produce similar sums of distances? Let’s investigate whether 10 can produce similar sums as those of 11. Complete the table with the distance of each data point from 10.
Sum of distances left of 10: ___________ Sum of distances right of 10: ___________
What do you notice about the two sums?
Based on your work so far, explain why the mean can be considered a balance point for the data set.
Here are dot plots showing how long Diego’s trips to school took in minutes—which you studied earlier—and how long Andre’s trips to school took in minutes.
The dot plots include the means for each data set, marked by triangles.[br][br][img]data:image/png;base64,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[/img][br][br]Which of the two data sets has a larger mean? In this context, what does a larger mean tell us?
Which of the two data sets has larger sums of distances to the left and right of the mean?
What do these sums tell us about the variation in Diego’s and Andre’s travel times?
Here is a dot plot showing lengths of Lin’s trips to school.
[img]data:image/png;base64,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[/img][br][br]Calculate the mean of Lin’s travel times.
Complete the table with the distance between each point and the mean as well whether the point is to the left or right of the mean.
Find the sum of distances to the left of the mean and the sum of distances to the right of the mean.
Use your work to compare Lin’s travel times to Andre’s. What can you say about their average travel times?
What about the variability in their travel times?
IM 6.8.10 Practice: Finding and Interpreting the Mean as the Balance Point
On school days, Kiran walks to school. Here are the lengths of time, in minutes, for Kiran’s walks on 5 school days: 16, 11, 18, 12, 13. Create a dot plot for Kiran’s data.
Without calculating, decide if 15 minutes would be a good estimate of the mean. If you think it is a good estimate, explain your reasoning. If not, give a better estimate and explain your reasoning.
Calculate the mean for Kiran’s data.
In the table, record the distance of each data point from the mean and its location relative to the mean.
Calculate the sum of all distances to the left of the mean, then calculate the sum of distances to the right of the mean. Explain how these sums show that the mean is a balance point for the values in the data set.
Noah scored 20 points in a game. Mai's score was 30 points. The mean score for Noah, Mai, and Clare was 40 points. What was Clare's score? Explain or show your reasoning.
Compare the numbers using >, <, or =.
Select [b]all [/b]the expressions that represent the total area of the large rectangle.[br][img]data:image/png;base64,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[/img]
Is [math]\frac{2}{3}<\frac{3}{4}[/math], or is [math]\frac{3}{4}<\frac{2}{3}[/math]? Explain how you know.