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.
Close

Information: IM 6.8.9 Lesson: Mean