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9.5a Classwork (1)

Last updated over 5 years ago

10 questions

Essential Question How can you use the distance between each data value and the mean of a data set to measure the spread of a data set?

1 Activity: Finding Distances from the Mean

The table shows the exam scores of 14 students in your class: 

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a. What is the mean exam score?

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b. Make a dot plot of the data. Place an “X” on the number line to represent the mean.

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c. Is the number of exam scores that are greater than the mean equal to the number of exam scores that are less than the mean?

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d. Which exam score deviates the most (is furthest away) from the mean? Which exam score deviates (is closest to) the least from the mean? Explain how you found your answers.

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e. Overall, do you think the exam scores are close to the mean or far away from the mean? Explain your reasoning.

2 Activity: Using Distances From the Mean

Use the information in Activity 1.

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a. Complete the table below. Add rows if needed. Be sure to find the sum of the values in the last column of the table.

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b. Complete the table for students with scores greater than the mean.

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c. LOGIC What do you notice about the sums you found in your tables? Why do you think this happens?

3 Activity: Interpreting Distances From the Mean

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a. LOGIC Add the sums you found in your tables in Activity 2. Divide that amount by the total number of students. Round your result to the nearest tenth.

In your own words, what do you think this value represents?

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b. Reasoning In a data set, what do you think it means when the value you found in part (a) is close to 0? Explain.