Measures of Dispersion
Math ⇒ Statistics and Probability
Measures of Dispersion starts at 8 and continues till grade 12.
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See sample questions for grade 12
A data set has a mean of 10 and a standard deviation of 2. What is the z-score of the value 14?
A data set has a variance of 25. If each value is divided by 5, what is the new variance?
Calculate the range for the following data set: 5, 8, 12, 20, 25.
Calculate the variance for the data set: 3, 7, 7, 19.
Describe a situation where the range would be a misleading measure of dispersion.
Explain the difference between variance and standard deviation.
Explain why the interquartile range is considered a better measure of dispersion than the range for skewed data.
Given the data set: 10, 12, 14, 16, 18, find the standard deviation.
Given the data set: 2, 4, 4, 4, 5, 5, 7, 9, calculate the mean absolute deviation (MAD).
Given the data set: 4, 8, 6, 5, 3, 7, 9, find the interquartile range (IQR).
If all values in a data set are increased by 5, what happens to the standard deviation?
If every value in a data set is multiplied by 3, how does the variance change?
If the standard deviation of a data set is zero, what can you say about the data?
If the variance of a data set is 0, what does this imply about the data?
The variance of a data set is 16. What is the standard deviation?
