Lesson 09: Interpreting the Mean as Fair Share | Unit 8: Data Sets and Distributions

Multiple Select

A preschool teacher is rearranging four boxes of playing blocks so that each box contains an equal number of blocks. Currently Box 1 has 32 blocks, Box 2 has 18, Box 3 has 41, and Box 4 has 9.

Select **all** the ways in which the teacher could make each box have the same number of blocks.

• Remove all the blocks and make four equal piles of 25, then put each pile in one of the boxes.

• Remove 7 blocks from Box 1 and place them in Box 2.

• Remove 21 blocks from Box 3 and place them in Box 4.

• Remove 7 blocks from Box 1 and place them in Box 2, and remove 21 blocks from Box 3 and place them in Box 4.

• Remove 7 blocks from Box 1 and place them in Box 2, and remove 16 blocks from Box 3 and place them in Box 4.

Open Ended

In a round of mini-golf, Clare records the number of strokes it takes to hit the ball into the hole of each green. The recorded strokes are: 2, 3, 1, 4, 5, 2, 3, 4, 3.

She said that, if she redistributed the strokes on different greens, she could tell that her average number of strokes per hole is 3. Explain how Clare is correct.

Open Ended

Three sixth-grade classes raised $25.50, $49.75, and $37.25 for their classroom libraries. They agreed to share the money raised equally. What is each class’s equal share? Explain or show your reasoning.

Open Ended

In her English class, Mai’s teacher gives 4 quizzes each worth 5 points. After 3 quizzes, she has the scores 4, 3, and 4. What does she need to get on the last quiz to have a mean score of 4? Explain or show your reasoning.

Multiple Choice

Jada donated $26.00 of her earnings from the past four weeks to charity. How much could she have earned from each job?

• $5.00 per week
• $7.00 per week
• $8.00 per week
• $6.50 per week