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 9

A data set has a mean of 10 and a standard deviation of 0. What can you say about the data set?

Calculate the range of the following data set: 5, 8, 12, 15, 20.

Describe what is meant by a 'measure of dispersion' in statistics.

Given the data set: 1, 2, 3, 4, 5, 6, 7, what is the standard deviation (rounded to two decimal places)?

Given the data set: 10, 12, 14, 16, 18, what is the interquartile range (IQR)?

Given the data set: 2, 4, 4, 4, 5, 5, 7, 9, what is the interquartile range (IQR)?

Given the data set: 2, 4, 6, 8, 10, 12, what is the range?

Given the data set: 2, 4, 6, 8, 10, what is the variance?

Given the data set: 4, 8, 6, 10, 12, calculate the mean and then the variance.

Given the data set: 7, 9, 12, 15, 18, what is the range?

If a data set has a mean of 50 and a standard deviation of 10, what is the coefficient of variation (in percentage)?

If the range of a data set is 0, what does this tell you about the data?

If the variance of a data set is 25, what is the standard deviation?

Which measure of dispersion is calculated by taking the square root of the average of squared deviations from the mean?

Which measure of dispersion is defined as the difference between the third and first quartiles?

Which measure of dispersion is most commonly used in scientific research?

A data set consists of the following values: 3, 7, 7, 19, 24, 24, 24, 30. Calculate the standard deviation of this data set. (Round your answer to two decimal places.)

A data set has a variance of 36. If each value in the data set is divided by 3, what is the new variance?

A teacher records the scores of two classes on a test. Class X has a mean score of 70 and a standard deviation of 2. Class Y has a mean score of 70 and a standard deviation of 10. What does this tell you about the consistency of scores in each class?

Explain why the standard deviation is preferred over the range as a measure of dispersion for large data sets.