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
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.
If all values in a data set are increased by 5, what happens to the standard deviation?
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.
Which measure of dispersion is defined as the average of the absolute differences between each value and the mean?
(1) Range
(2) Mean absolute deviation
(3) Variance
(4) Interquartile range
Which measure of dispersion is most affected by extreme values?
(1) Range
(2) Interquartile range
(3) Standard deviation
(4) Mean absolute deviation
Which measure of dispersion is most appropriate for ordinal data?
(1) Range
(2) Interquartile range
(3) Variance
(4) Standard deviation
Which of the following is NOT a measure of dispersion?
(1) Range
(2) Mean
(3) Variance
(4) Standard deviation
Fill in the blank: The __________ is a measure of dispersion that is not affected by extreme values.
Fill in the blank: The __________ is the difference between the 75th percentile and the 25th percentile.
Fill in the blank: The standard deviation is the __________ of the variance.
The difference between the largest and smallest values in a data set is called the __________.
True or False: The interquartile range is always less than or equal to the range.
True or False: The interquartile range is the difference between the first and third quartiles.
True or False: The mean absolute deviation is always less than or equal to the standard deviation.
True or False: The standard deviation is always greater than or equal to the mean absolute deviation.
