Grade 5: Mean, Median, Mode

Warm up with a few quick mean, median, mode warm-ups on the board while the class settles, so every child starts thinking about the skill.

An average is a single number that stands in for a whole set of data. There are three kinds. The mean is the total shared out equally (add them all, then divide by how many). The median is the middle value once the data is in order. The mode is the value that appears most often. The word 'average' on its own usually means the mean. Model the method clearly, thinking aloud:

• Teach the mean as fair sharing: pool everything, then split it equally. Add the values and divide by how many there are.
• Teach the median by putting the numbers in order first, then finding the middle one; with an even set, take the mean of the middle two.
• Teach the mode as the most frequent value, noting there can be more than one, or none at all.
• Use the same small data set for all three so students see they can give different numbers.
• Discuss which average suits the data: the mean is pulled by an extreme value, the median is not.

Work this through step by step on the board, then have the class talk you through a second one.

• Data: 3, 7, 7, 2, 6
• mean: (3 + 7 + 7 + 2 + 6) / 5 = 25 / 5 = 5
• median: order 2, 3, 6, 7, 7 -> middle is 6
• mode: 7 appears most -> 7

Do the first few questions of the practice worksheet together, one child explaining each step. Check for understanding before releasing the class to work alone.

Students complete the practice worksheet independently while you circulate and support.

Circulate and look for these, they are the usual sticking points:

• Forgetting to put the numbers in order before finding the median.
• Dividing by the wrong count when finding the mean.
• Confusing the three, giving the mode when the mean is asked for.
• Letting one very large or small value distort the mean without noticing.

Pull the class back together. Ask one child to explain mean, median, mode in their own words, pose a single check question everyone answers on a mini whiteboard, and name what you will build on next lesson.

Use the independent worksheet as the evidence. A child who can complete it accurately and explain one answer has met the objective; anyone who cannot needs the easier level and a short reteach next session.