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 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: {3, 5, 7, 9, 11}. If 5 is replaced by 15, how does the mean change?
Calculate the mean for the following frequency distribution:
Value: 2 3 4 5
Frequency: 1 3 2 4
If the mean of a data set is 20 and each value is increased by 5, what is the new mean?
If a data set is perfectly symmetrical, which of the following is true?
(1) Mean = Median = Mode
(2) Mean > Median > Mode
(3) Mean < Median < Mode
(4) Mean = Mode, but not Median
Which measure of central tendency is best to use when the data are skewed?
(1) Mean
(2) Median
(3) Mode
(4) All are equally good
Which measure of central tendency is most affected by extreme values (outliers)?
(1) Mean
(2) Median
(3) Mode
(4) All are equally affected
Which measure of central tendency is most appropriate for nominal data?
(1) Mean
(2) Median
(3) Mode
(4) None of the above
Fill in the blank: In a data set with an even number of values, the median is the _______ of the two middle values.
Fill in the blank: The _______ is the value that divides a data set into two equal halves.
Fill in the blank: The arithmetic mean is also known as the _______.
Fill in the blank: The sum of deviations of the values from their mean is always _______.
True or False: The mean can be calculated for qualitative data.
True or False: The mean is always greater than the median in a left-skewed distribution.
True or False: The median is always one of the values in the data set.
True or False: The median is not affected by the magnitude of extreme values.
