Measures of Central Tendency

Math ⇒ Statistics and Probability

Measures of Central Tendency starts at 6 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Measures of Central Tendency. 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 11

A data set consists of the following values: 10, 15, 20, 25, 100. Which measure of central tendency best represents the data?

A data set has the following values: 2, 4, 6, 8, 10. What is the mean?

A set of numbers has a mean of 10. If each number in the set is increased by 3, what is the new mean?

Calculate the mean of the following data: 3, 7, 7, 10, 12.

Calculate the median of the following data: 8, 12, 15, 20, 25, 30.

Describe a situation where the median is a better measure of central tendency than the mean.

Explain why the mean is not always the best measure of central tendency.

Given the data set: 1, 2, 2, 3, 4, 4, 4, 5, what is the mode?

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

Given the data set: 5, 7, 9, 12, 15, what is the median?

Given the data set: 6, 8, 10, 12, 14, 16, what is the mean?

If the data set is 3, 5, 7, 9, 11, what is the median?

If the mean of a data set is 50 and one value, 100, is removed, the new mean becomes 45. How many values were in the original data set?

If the mean of five numbers is 20, what is their total sum?

If the mode of a data set is 12, what does this tell you about the data?

Which measure of central tendency can be used for both numerical and categorical data?

Which measure of central tendency is best to use for categorical data?

A class of 20 students took a test. The scores (out of 100) are as follows: 55, 60, 62, 65, 68, 70, 72, 75, 75, 78, 80, 82, 85, 85, 88, 90, 92, 95, 98, 100. If the highest score (100) is removed, how does the mean change?

A data set consists of the following values: 12, 15, 18, 21, 24, 27, 100. Calculate the mean, median, and mode of the data set, and explain which measure of central tendency is most appropriate to describe the data.

A data set has the following values: 4, 8, 8, 10, 12, 14, 16, 18, 20. If the value 100 is added to the data set, which measure of central tendency will be most affected?