Video: GCSE Mathematics Foundation Tier Pack 1 • Paper 3 • Question 2

GCSE Mathematics Foundation Tier Pack 1 • Paper 3 • Question 2

01:37

Video Transcript

A list of numbers is shown below. Find the mode.

The mode or the modal value is the most common value in a list of numbers. It’s the number that occurs the most frequently. To help us work this out, we can construct a frequency table to find out how many times each number in this list appears.

The first value is eight. Let’s find the total number of eights that are in this table. Crossing them off as we go through, we can see that there are a total of three number eights. The next number in the table is the number six. Crossing these numbers off as we go through, we can see that there are a total of four number sixes. We then have the number five. In fact, five appears only once in our table. Similarly, the number 27 also appears only once. The next number is nine, and that appears twice. Finally, we have the number four, which also appears twice.

The number with the highest frequency is the number six. The mode of our list of numbers then must be the number six. It’s worth remembering to be really careful when calculating the mode. The biggest mistake that is made is people see that the highest frequency is the number four, and they say that the mode is four. In fact, we’re interested in the number that the highest frequency corresponds to, which is the number six.

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