Comparing Mean, Mode, and Median

A group of friends record the number of cups of tea they drink in a day: 2, 3, 3, 4, 5, 6, 8. Which of the following is true?

• The mean (average) is higher than the median (middle value).

• The mode (most common value) is less than the median.

• The median is equal to the mean.

• The mode is higher than the mean.

A family records the number of biscuits eaten by each member in a week: 2, 3, 3, 4, 5, 6, 20. Which type of average will be most affected by the person who ate 20 biscuits?

• Mean (average)

• Median (middle value)

• Mode (most common value)

• All are equally affected

In a class, the number of pets owned by each student is: 1, 2, 2, 2, 3, 4, 5. What is the mode (most common value)?

• 2

• 3

• 4

• 5

A group of students scored the following marks out of 100 in a test: 55, 60, 65, 70, 75, 80, 100. Which type of average best shows the 'typical' score, considering the very high mark?

• Mean (average)

• Median (middle value)

• Mode (most common value)

• Range

A survey of shoe sizes in a class finds that sizes 6 and 7 both appear most often. What is this set of data called?

• Unimodal

• Bimodal

• Multimodal

• Non-modal

Five friends count the number of books they read last month: 2, 4, 6, 8, 10. What is the mean (average) number of books read?

• 5

• 6

• 7

• 8

Which of the following is always a number from the original list of data?

• Mean (average)

• Median (middle value)

• Mode (most common value)

• Both B and C

The number of apples picked by each person in a group is: 3, 3, 6, 7, 8, 12, 15. What is the median (middle value) number of apples picked?

• 6

• 7

• 8

• 12

A survey asks people for their favourite ice cream flavour. Which type of average is most useful for this data?

• Mean (average)

• Median (middle value)

• Mode (most common value)

• Range

If the mean (average) and median (middle value) of the number of steps walked by a group of people are the same, what does this tell you about the data?

• It is definitely skewed.

• It is likely to be symmetrical.

• It is bimodal.

• It has an outlier.