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.
Investigating the Mean.
Five security officers were scheduled to work the number of hours shown below. They decided to share the workload, so each one would work equal hours.
(1.) Based on your second drawing, what is the average or mean number of hours that the servers will work?
(2.) Explain why we can also find the mean by finding the value of 31 ÷ 5.
(3.) Which Officer will see the biggest change to work hours? Which Officer will see the least change?
(4.) Officer F, working 7 hours, offers to join the group of five officers, sharing their workload. If Officer F joins, will the mean number of hours worked increase or decrease? Explain or show how you know.
Where is the Mean?
Interpret the Mean.
(A.) 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.
Find the mean for Mai’s data. Show your reasoning.
(B.) For 5 days, Tyler has recorded how long his walks to school take in minutes. The mean for his data is 11 minutes.
(1.) Without calculating, predict if each of the data sets shown could be Tyler’s. Explain your reasoning.
(2.) In this situation, what does the mean tell us about Mai’s trip to school?
(3.) Determine which data set is Tyler’s. Explain how you know.
Calculate the mean in the 3 different sets of numbers in the applet below. Use the slider for a new set on numbers.
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.
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 below are histograms of the lengths for each container.