Measures of Dispersion

Math ⇒ Statistics and Probability

Measures of Dispersion starts at 8 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Measures of Dispersion. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.

See sample questions for grade 8

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).

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.

Given the data set: 10, 12, 14, 16, 18, what is the standard deviation (rounded to two decimal places)?

Given the data set: 4, 8, 6, 10, 12, what is the mean absolute deviation (rounded to two decimal places)?

Given the data set: 5, 7, 7, 8, 10, 12, 15, what is the range?

If a data set has a large standard deviation, what does this indicate about the data?

If a data set has a small range, what does this tell you about the data?

If the data set is: 1, 2, 3, 4, 100, which measure of dispersion would best describe the spread of the central values?

If the data set is: 3, 7, 7, 10, 12, what is the range?

If the first quartile (Q1) is 12 and the third quartile (Q3) is 20, what is the interquartile range?

If the mean of a data set is 10 and the standard deviation is 0, what can you say about the data?

If the variance of a data set is 16, what is the standard deviation?

Which measure of dispersion is calculated by subtracting the smallest value from the largest value in a data set?

Which measure of dispersion is calculated by taking the average of the absolute values of the differences between each data value and the mean?

A data set consists of the following values: 3, 7, 7, 8, 12, 13, 14, 18, 21. Calculate the standard deviation of this data set (rounded to two decimal places).