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Students count candy by color and then calculate mean, median, and mode.
math, candy, color, mean, median, mode, average, data, statistics
Before the Lesson
Provide each student with a package of colorful candy. Gummy bears, M&Ms, Skittles, Neccos, or LifeSavers will work well for this activity. Provide commercially sold candy packs or buy large quantities of candy and create your own small packs.
In this activity, students work on their own, in pairs, in small groups, in larger groups and, finally, as a whole class to figure mean, median, and mode of collections of candy data. They fill in the data they collect on the Counting Candy Colors work sheet.
Begin this lesson by modeling the process students will use to calculate and record mean, median, and mode for their candy. Then students work on their own to do the following activities:
1 + 2 + 3 + 7 + 7 = 20 and 20 (total candies) divided by 5 (different colors) = 4 (the average number of pieces of each color)
Next, each student fills in the data on the Counting Candy Colors work sheet in the row next to Student 1. Then each pairs up with a classmate and adds that classmates data to their charts next to Student 2. Then the two students work together to figure out mean, median, and mode of their combined data and record that information on the work sheet.
This might be a good time to review the students work to be sure they have grasped the concepts of mean, median, and mode. Students might share their work, one pair at a time, with their classmates.
Next, combine two pairs of students to form groups of four. Have each student add the work sheet data for the two new people in their group next to Student 3 and Student 4. Then have them work together to figure out mean, median, and mode for all four people in the group and record the information on the work sheet.
Next, combine two groups of four and have students add the data for the four new people in their groups next to Student 5, Student 6, Student 7, and Student 8 on the worksheet. Then students work together to figure out mean, median, and mode for their combined data and record the information on the work sheet.
Finally, collect data for the entire class and challenge students to use that data to calculate mean, median, and mode for the entire class.
Provide students with the test data for five fictional students shown below. The data shows how many answers each student got correct on a quiz of 10 questions. Instruct students to find mean, median, and mode of this data collection.
Mean: 7 + 10 + 7 + 7 + 9 = 40; 40 divided by 5 = 8
Median: the middle number in this collection of data (7, 7, 7, 9, 10) is 7
Mode: the most commonly represented number in this collection of data (7, 7, 7, 9, 10) is 7
Lesson Plan Source
MATHEMATICS: Number and Operations
GRADES Pre-K - 2
NM-NUM.PK-2.3 Compute Fluently and Make Reasonable Estimates
GRADES 3 - 5
NM-NUM.3-5.3 Compute Fluently and Make Reasonable Estimates
GRADES 6 - 8
NM-NUM.6-8.3 Compute Fluently and Make Reasonable Estimates
GRADES 9 - 12
NM-NUM.9-12.3 Compute Fluently and Make Reasonable Estimates
MATHEMATICS: Data Analysis and Probability
GRADES 3 - 5
NM-DATA.3-5.2 Select and Use Appropriate Statistical Methods to Analyze Data
GRADES 6 - 8
NM-DATA.6-8.2 Select and Use Appropriate Statistical Methods to Analyze Data
GRADES 9 - 12
NM-DATA.9-12.2 Select and Use Appropriate Statistical Methods to Analyze Data
GRADES Pre-K - 12
NM-REP.PK-12.1 Create and Use Representations to Organize, Record, and Communicate Mathematical Ideas
NM-REP.PK-12.3 Use Representations to Model and Interpret Physical, Social, and Mathematical Phenomena
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