Thursday, October 31, 2013

Measures of Central Tendency: Range, Mean, Median, and Mode. Halloween Edition!

You and your friends go Trick or Treating, and decide to pool all of the candy and divvy it up evenly when you get back home. You get 23, 27, 18, and 26 pieces of candy.
- How many pieces of candy will each person get?
- What MoCT is this?
- What are the other measures?

Right before you leave the house, your Mom tells you to bring your little sister along with you. Ugh! But, all of the neighbors thought she was so cute that she was raking in the candy. She got 45 pieces of candy!
- What will happen to each of the MoCT? Will they stay the same, increase, or decrease? By a lot or just a little?
- Will each person, including your little sister, end up with more or less candy?

After the first house you visit, you run into a classmate of yours, who tags along for the rest of the night, but doesn't get any candy himself. (All of the pillowcases at his house were in the laundry.) At the end of the night, he asks to get half as much candy as everyone else.
- How do you distribute the candy between all of the people?
- What expression can you write to show this?