IM 6.8.9 Lesson: Mean
Use the digits 0–9 to write an expression with a value as close as possible to 4. Each digit can be used only one time in the expression.
The kittens in a room at an animal shelter are arranged in five crates, as shown.
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[/img][br][br]The manager of the shelter wants the kittens distributed equally among the crates. How might that be done? How many kittens will end up in each crate?
The number of kittens in each crate after they are equally distributed is called the [b]mean [/b]number of kittens per crate, or the [b]average [/b]number of kittens per crate.[br][br]Explain how the expression [math]10\div5[/math] is related to the average.
Another room in the shelter has 6 crates. No two crates contain the same number of kittens, and there is an average of 3 kittens per crate. Draw or describe at least two different arrangements of kittens that match this description.
Five servers were scheduled to work the number of hours shown. They decided to share the workload, so each one would work equal hours.
[list][*]Server A: 3[/*][*]Server B: 6[/*][*]Server C: 11[/*][*]Server D: 7[/*][*]Server E: 4[/*][/list]
On the grid, drag 5 bars whose heights represent the hours worked by servers A, B, C, D, and E.
Think about how you would rearrange the hours so that each server gets a fair share. Then, draw a new graph to represent the rearranged hours. Be prepared to explain your reasoning.
Based on your second drawing, what is the average or mean number of hours that the servers will work?
Explain why we can also find the mean by finding the value of [math]31\div5[/math].
Which server will see the biggest change to work hours? Which server will see the least change?
Server F, working 7 hours, offers to join the group of five servers, sharing their workload. If server F joins, will the mean number of hours worked increase or decrease? Explain or show how you know.
For the past 12 school days, Mai has recorded how long her bus rides to school take in minutes. The times she recorded are shown in the table.
9 8 6 9 10 7 6 12 9 8 10 8[br][br]Find the mean for Mai’s data. Show your reasoning.[br]
For 5 days, Tyler has recorded how long his walks to school take in minutes. The mean for his data is 11 minutes. Without calculating, predict if each of the data sets shown could be Tyler’s. Explain your reasoning.[br][list][*]data set A: 11, 8, 7, 9, 8[/*][*]data set B: 12, 7, 13, 9, 14[/*][*]data set C: 11, 20, 6, 9, 10[/*][*]data set D: 8, 10, 9, 11, 11[/*][/list]
In this situation, what does the mean tell us about Mai’s trip to school?[br]
Determine which data set is Tyler’s. Explain how you know.
IM 6.8.9 Practice: Mean
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 [b]all [/b]the ways he could make each box have the same number of blocks.
In a round of mini-golf, Clare records the number of strokes it takes to hit the ball into the hole of each green.
2 3 1 4 5 2 3 4 3[br][br]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.
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.
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.
An earthworm farmer examined two containers of a certain species of earthworms so that he could learn about their lengths. He measured 25 earthworms in each container and recorded their lengths in millimeters.
Here are histograms of the lengths for each container.[br][br][img]data:image/png;base64,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[/img][br][br]Which container tends to have longer worms than the other container?
[br]For which container would 15 millimeters be a reasonable description of a typical length of the worms in the container?
If length is related to age, which container had the most young worms?
Diego thinks that [math]x=3[/math] is a solution to the equation [math]x^2=16[/math]. Do you agree? Explain or show your reasoning.