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.
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See sample questions for grade 8
A data set has the following values: 10, 15, 10, 20, 25. What is the mode?
A data set has the following values: 5, 7, 9, 11, 13, 15. What is the median?
A data set is: 2, 4, 6, 8, 10, 12. What is the median?
A data set is: 8, 12, 16, 20, 24. What is the mean?
A class of 12 students scored the following marks in a test: 45, 50, 55, 60, 60, 65, 70, 75, 80, 85, 90, 95. If the student who scored 95 leaves the class, how does the mean change? Calculate the new mean.
A data set consists of the following numbers: 4, 8, 12, 16, 20, 24, 28, 32, 36. If the smallest and largest values are removed, what is the new median?
A data set has the following values: 5, 7, 9, 12, 15, 18, 21. If each value in the data set is increased by 3, what happens to the mean?
A group of students recorded the number of books they read in a month: 2, 3, 3, 4, 5, 6, 8, 10. If the student who read 10 books is replaced by a new student who read 2 books, how does the mean change?
Which measure of central tendency is most affected by extreme values?
(1) Mean
(2) Median
(3) Mode
(4) None of these
Which of the following is NOT a measure of central tendency?
(1) Mean
(2) Mode
(3) Median
(4) Range
Which of the following is NOT true about the mode?
(1) It is always unique
(2) It is the most frequent value
(3) A data set can have more than one mode
(4) Some data sets have no mode
Which of the following is the correct formula for the mean of n numbers x₁, x₂, ..., xₙ?
(1) (x₁ + x₂ + ... + xₙ)/n
(2) (x₁ × x₂ × ... × xₙ)/n
(3) (x₁ + x₂ + ... + xₙ) × n
(4) (x₁ + x₂ + ... + xₙ) - n
Fill in the blank: The _______ is the arithmetic average of a set of numbers.
Fill in the blank: The _______ is the middle value when the data is arranged in order.
Fill in the blank: The _______ is the most appropriate measure of central tendency for skewed data.
Fill in the blank: The _______ is the value that appears most frequently in a data set.
Is it possible for a data set to have more than one mode?
True or False: The mean is always a value from the data set.
True or False: The mean is always greater than the median.
True or False: The mean is always less than the median in a positively skewed distribution.
