Measures of Central Tendency
Math ⇒ Statistics and Probability
Measures of Central Tendency starts at 6 and continues till grade 12.
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See sample questions for grade 12
A class of 20 students scored the following marks in a test: 10 students scored 70, 5 students scored 80, and 5 students scored 90. What is the mean score?
A data set has the following values: {10, 12, 12, 13, 14, 15, 15, 15, 16}. What is the mode?
A data set has the following values: {2, 2, 3, 4, 4, 4, 5, 6, 7, 8}. What is the median?
A data set has the following values: {3, 5, 7, 9, 11}. If 5 is replaced by 15, how does the mean change?
A data set has two modes. What is this type of distribution called?
Calculate the mean for the following frequency distribution:
Value: 2 3 4 5
Frequency: 1 3 2 4
Describe a situation where the mode is the most useful measure of central tendency.
Explain why the mean may not be a good measure of central tendency for a highly skewed data set.
Find the median of the following data set: {7, 3, 9, 2, 5, 8}
Given the data set {1, 2, 2, 3, 4, 7, 9}, what is the mean?
Given the data set {2, 4, 4, 4, 5, 7, 9}, what is the median?
Given the data set {5, 7, 7, 8, 10, 12, 15}, what is the mode?
If the mean of a data set is 20 and each value is increased by 5, what is the new mean?
If the mean of five numbers is 12, what is their total sum?
If the mode of a data set is 7, what does this tell you about the data?
A company has the following annual salaries (in thousands): 30, 32, 35, 36, 38, 40, 120. Which measure of central tendency would you recommend to report the typical salary, and why?
A data set consists of the following values: {4, 8, 15, 16, 23, 42, 108}. Calculate the mean, median, and mode, and explain which measure best represents the central tendency of this data set.
A data set contains the values {2, 4, 6, 8, 10, 100}. Calculate the mean and median, and explain the effect of the outlier on both measures.
A data set has the following five values: {a, a+2, a+4, a+6, a+8}. What is the median of this data set in terms of a?
Given the following grouped frequency distribution, estimate the mean:
Class Interval: 10-20 20-30 30-40 40-50
Frequency: 3 7 12 8
