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 8
Describe a situation where the mean absolute deviation would be a better measure of dispersion than the range.
Describe in your own words what the interquartile range tells you about a data set.
Explain why the range is not always the best measure of dispersion.
If a data set has a large standard deviation, what does this indicate about the data?
Calculate the interquartile range for the data set: 2, 4, 6, 8, 10, 12, 14.
Calculate the mean absolute deviation for the data set: 2, 4, 6, 8, 10.
Calculate the range for the following data: 15, 22, 8, 19, 30.
Calculate the variance for the data set: 2, 4, 6, 8 (rounded to two decimal places).
Which measure of dispersion is best to use when the data contains outliers?
(1) Range
(2) Interquartile range
(3) Standard deviation
(4) Mean absolute deviation
Which measure of dispersion is defined as the average of the absolute differences between each data 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 commonly used in scientific research?
(1) Range
(2) Interquartile range
(3) Standard deviation
(4) Mean absolute deviation
Fill in the blank: The ________ is a measure of dispersion that is not affected by extreme values.
Fill in the blank: The ________ is a measure of how spread out the values in a data set are around the mean.
Fill in the blank: The ________ is the average of the squared differences from the mean.
Fill in the blank: The ________ is the square root of the variance.
Is it possible for two data sets to have the same mean but different standard deviations?
Is the following statement true or false? The variance is the square of the standard deviation.
True or False: If all values in a data set are the same, the standard deviation is zero.
True or False: The interquartile range is calculated using the median.
