Measures of Central Tendency Quiz

Find the arithmetic mean of the following set of scores 12, 4, 2, 8, and 14.

• 12

• 4

• 8

• 14

What is the median of the numbers 2, 4, 6, and 8?

• 7

• 6

• 5

• 4

What is the mode of the set 3, 4, 4, 6, 6, 6, 9?

• 3

• 9

• 6

• 4

When should the mean be used as a measure of central tendency?

• When dealing with categorical data

• When the data set has extreme values

• When identifying the most frequent value is important

• When dealing with numerical data without outliers

What is the advantage of using the mode as a measure of central tendency?

• It yields unrealistic values

• It can be used for further statistical analysis

• It includes every value in the calculation

• It is not affected by extreme values

What is the disadvantage of using the median as a measure of central tendency?

• It is of no use if all the data is different

• It is easily identified on a graph

• It is affected by extreme values

• It does not include all the data in its calculation

Which measure of central tendency refers to the commonest shoe size among a group of students?

•   Mode

• Mean

• Median

• Range

What is the mean and median of the following data? £11,000, £11,000, £11,000, £11,000, £11,000, £11,000, £11,000, £11,000, £11,000, £200,000

• Mean: £22,000, Median: £11,000

• Mean: £11,000, Median: £200,000

• Mean: £11,000, Median: £290,900

• Mean: £29,900, Median: £11,000

What is the problem with the mean of the following data set? £11,000, £11,000, £11,000, £11,000, £11,000, £11,000, £11,000, £11,000, £11,000, £200,000

• It is not useful for categorical data

• It does not include every value in the calculation

• It is affected by the extreme value in the data set.

• It can not be used for further statistical analysis

If the arithmetic mean of 4, 6, 10, 16, Z, 20 and 24 is 14, what is the value of Z?

• 16

• 18

• 20

• 14