The Mean, Median, and Mode Card Game

Fifth Grade Probability & Statistics Activities: The Mean, Median, and Mode Card Game

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Do you remember mean, median and mode? Chances are, your memory is hazy at best. Want to ensure that your child's math knowledge stays sharp? This mean, median, and mode game is the perfect way to reinforce these essential math concepts.

What You Need:

  • Deck of cards
  • Scratch paper
  • Pencil
  • Calculator (optional)

What You Do:

Review the definitions of these key terms with your child:

Mean is simply the average of all the items in a sample. To compute a mean add up all the values and divide by the total number of items in the data set.

Median is the middle number in a series of numbers, stated in order from least to greatest. If there is an even number of items in the data set, the median is the average of the two middle values.

Mode is the most frequently occurring value in the data set.

Once you're sure your child is familiar with the differences between these terms, play this card game to target and reinforce each of these math concepts. For this game, you'll need at least 4 players! Using only the Ace through 10 cards, deal out 7 cards to each player (for these games to work, there should be no more than 4 players). Ask the players to arrange their cards in sequential order. Aces count as the number 1. Then, depending upon which game you want to play, follow the directions below:

  1. Finding the Mean Game. Each player finds the total value of the digits on their cards, then divides the total by 7 (the total number of cards) to find the mean. For example, if the cards in your hand are Ace, 2, 4, 6, 8, 8, 9, then the sum of those digits is 38. Dividing the sum by 7 yields 5 (rounding to the nearest whole number). If this was your hand, you'd have scored 5 points in this round. Because computation can be tricky without paper at this age, feel free to give your child a pencil and paper to find the mean. Or, to keep the game moving at a faster pace, you may allow use of a calculator.

  2. Finding the Median Game. Each player finds the median card in his hand and that number is his point value for that round. So, using the hand above, the median of the cards is 6, since the median is the value of the middle card.

  3. Finding the Mode Game. Each player finds the mode in their hand of cards, which represents their point value for that round. If there is no mode, then they don’t score any points in that round. However, if there are two modes (two numbers occur the same number of times), the player snags the point values for both modes! In the example above, the mode would be 8, since it occurs most often.

The winner of each game is the first person to scores 21 points. If you're dealing with a very short or very long attention spans, feel free to change this value and substitute a number more appropriate for the children playing.

Jane Oh has taught third and fourth grades for 8 years. She has worked with many diverse groups of students. Most recently, she has written teacher textbook guides.

Updated on Mar 11, 2014
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