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 10
Describe a situation where the interquartile range is a better measure of dispersion than the range.
Explain the difference between absolute and relative measures of dispersion.
Explain why standard deviation is preferred over range as a measure of dispersion.
If the standard deviation of a data set is zero, what can you say about the data?
A data set has a mean of 50 and a standard deviation of 5. What is its coefficient of variation?
A data set has values: 4, 8, 6, 5, 3. What is the range?
Calculate the range for the following data set: 5, 8, 12, 20, 25.
Calculate the standard deviation for the data set: 2, 4, 4, 4, 5, 5, 7, 9.
Which measure of dispersion divides the data into four equal parts?
(1) Range
(2) Quartile deviation
(3) Standard deviation
(4) Mean deviation
Which measure of dispersion is best for comparing the consistency of two different data sets with different units?
(1) Range
(2) Coefficient of variation
(3) Standard deviation
(4) Interquartile range
Which measure of dispersion is most affected by extreme values?
(1) Range
(2) Interquartile range
(3) Standard deviation
(4) Mean 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 formula for the coefficient of variation is (standard deviation / mean) × __________.
Fill in the blank: The interquartile range (IQR) is calculated as Q3 minus __________.
Fill in the blank: The sum of the squared deviations from the mean is called the __________ sum of squares.
The difference between the highest and lowest values in a data set is called the __________.
True or False: The coefficient of variation is expressed as a percentage.
True or False: The interquartile range is less affected by outliers than the range.
True or False: The mean deviation is always less than or equal to the standard deviation.
True or False: The range is always greater than or equal to zero.
