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 11
A data set has a mean of 15 and a standard deviation of 0. What are the possible values in the data set?
Describe a situation where the range is a misleading measure of dispersion.
Describe how the standard deviation changes if each value in a data set is increased by a constant.
Explain the difference between variance and standard deviation.
A data set has a mean of 15 and a standard deviation of 0. What are the possible values in the data set?
A data set has a variance of 16. What is its standard deviation?
A data set has the following values: 10, 12, 14, 16, 18. What is the mean absolute deviation?
A sample of 5 numbers has a mean of 10 and the following values: 8, 9, 10, 11, 12. What is the variance?
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) Standard deviation
(4) Variance
Which of the following is NOT a measure of dispersion?
(1) Range
(2) Mean
(3) Variance
(4) Standard deviation
Which of the following is NOT true about standard deviation?
(1) It is always positive
(2) It is measured in the same units as the data
(3) It is the square of the variance
(4) It measures the spread of data around the mean
Fill in the blank: The formula for the variance of a population is the sum of squared deviations from the mean divided by __________.
Fill in the blank: The interquartile range is calculated as Q3 minus __________.
Fill in the blank: The standard deviation of a data set is the square root of the __________.
Fill in the blank: The variance of a sample is calculated by dividing the sum of squared deviations by __________.
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 mean absolute deviation is calculated using squared differences from the mean.
True or False: The standard deviation is always non-negative.
