Math Grade 6 Quiz Relating Measures of Center and Variability to Data Distribution – 6.SP.B.5.D
This educational standard calls for students to understand and interpret the measures of center (mean, median, and mode) and variability (range, interquartile range, mean absolute deviation) within the context of the data’s distribution. Students are expected to relate these statistical measures to the shape of the data distribution, acknowledging that different types of data and different shapes of distributions might require different measures for the most accurate representation.
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Question 1 of 10
1. Question
When is it most appropriate to use the mode as a measure of center?
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Question 2 of 10
2. Question
Why is considering the context in which data were gathered important when choosing measures of center and variability?
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Question 3 of 10
3. Question
Which measure of center is most affected by every single value in the data set?
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Question 4 of 10
4. Question
Why might the median be a more appropriate measure of center for a data set with outliers?
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Question 5 of 10
5. Question
A data set has a symmetrical distribution. Which measure of center is most appropriate?
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Question 6 of 10
6. Question
Which measure of variability would best represent the data if we are interested in the extremes within a data set?
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Question 7 of 10
7. Question
In a skewed distribution, how are the mean and median affected?
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Question 8 of 10
8. Question
For which shape of data distribution are the mean, median, and mode all located at the same point?
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Question 9 of 10
9. Question
If a data set shows the salaries of a group of company executives and includes one extreme outlier (e.g., a CEO’s salary), which measure of center provides a more accurate reflection of the typical salary?
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Question 10 of 10
10. Question
What is the effect of an outlier on the range of a data set?
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