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 10

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.

Calculate the variance for the data set: 2, 4, 4, 4, 5, 5, 7, 9.

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.

Given the data set: 10, 12, 14, 16, 18, what is the mean deviation about the mean?

Given the data set: 3, 7, 8, 12, 13, 14, 18, 21, find the interquartile range (IQR).

Given two data sets: Set A: 10, 12, 14, 16, 18 Set B: 20, 22, 24, 26, 28 Which set has a higher standard deviation?

If the standard deviation of a data set is zero, what can you say about the data?

If two data sets have the same mean but different standard deviations, what does this indicate?

What is the formula for variance for a population?

A data set has a variance of 36. What is its standard deviation?

Explain why the interquartile range is considered a resistant measure of dispersion.

Given the data set: 7, 9, 12, 15, 18, 21, 25, calculate the mean and then find the mean absolute deviation about the mean.

Given two data sets: Set X: 5, 5, 5, 5, 5 Set Y: 1, 3, 5, 7, 9 Which set has a greater variance and why?

If the standard deviation of a data set is 0, what can you conclude about the values in the data set?