

Introduction
Students will demonstrate knowledge of the concepts of
mean, median, and mode and will compute and compare them in simple examples to
show that they may differ.
Subject:
Mathematics
Topic:
Mean, Median, Mode
Grade Level: Fifth
Student Lesson Name ~ Mean, Median, & Mode:
Go to Student Lessons
Standards Addressed
Fifth Grade
Mathematics: Data Analysis
California Mathematics Standards
1.0 Students display, analyze, compare, and interpret different data sets,
including data sets of different sizes:
 1.1 Know the concepts of mean, median, and mode; compute and compare simple
examples to show that they may differ.
Instructional Objectives
Objective 1: Given sets of
numbers (data), students will
compute the mean with 80% accuracy.
Objective 2: Given
sets of
numbers (data), students will
compute the median with 80% accuracy.
Objective 3: Given
sets of
numbers (data), students will
compute the mode with 80% accuracy.
Student Activities
Given sets of data in various formats, students will
learn to compute the three types of average (or measure of central tendency): mean, median, and mode and attempt
to determine which type of averaging is most useful in each situation.

Using charts and other data, students will
compute the mean, median, and mode.

Students will compute mean, median, and mode
on individual worksheets printed from Accelerated Math.

Students will complete a variety of worksheets
to practice these skills.
PreTest
10 questions covering mean,
median, and mode using a calculator.
Introductory
Activity
Students will be given a copy of the Measures of Central Tendency
page which has definitions and examples of the three types of average (measures
of central tendency): mean (also known as average), median, and mode. These
pages will be added to each students' "Math Binder" and will be used
as a reference. Students will also be instructed to add these terms to
their "Math Dictionary". Students will then be given a slip of
paper with some of their current math grades on it to average. (If
students are not familiar with the use of calculators, a lesson on using
calculators may be necessary.)
Enabling
Activities
1. Student Worksheet 1: Computing Mean
(Average)
Worksheet
1 (student page ~ print)
Answer
Key
2. Student Worksheet 2: Computing Median
Worksheet
2 (student page ~ print)
Answer
Key 3. Student Worksheet 3: Computing the
Mean (Bowling Scores)
Worksheet
3 (student page ~ print)
Answer Key 4. Student Worksheet 4: Computing the Mean
(Grades)
Worksheet
4
(student page ~ print)
Answer Key
5. Student Worksheet 5: Mean, Median, and Mode
(Math Grades)
Worksheet
5
(student page ~ print)
Answer Key
6. Student Worksheet 6: Mean, Median, and Mode
Worksheet 6
(student page ~ print)
Answer
Key
7. Individualized worksheets
printed from Accelerated Math for
homework or additional work.
(The Accelerated Math program
will print out specific math
practice sheets. After students have
solved the problems, they fill
out a scantron card. They scan
their cards themselves, the
computer computes their scores,
prints out the results and
their next lesson.)
Culminating
Activity  Favorite
Summer Activities Poll
Students will be surveyed as to what
their favorite summertime activities are (i.e. skateboarding, swimming,
reading...). This list will be written on an overhead and all students
will copy it. Students will then be polled as to what activities they
would like to do during the coming summer. (Students may indicate more
than one activity). Each student will then take the accumulated data and
figure the classroom's mean, median, and mode.
Assessment
PreTest
10 questions covering mean,
median, and mode using a calculator.
Answer Key
Post
Test
10 questions covering mean,
median, and mode using a calculator.
Answer Key
Results
Evaluation Rubric
Students will receive a percentage
grade for each assessment and activity. For the assessments and
culminating activity, students will receive a separate percentage for mean,
median, and mode. For enabling activities (worksheets, etc.) each
assignment will be given one score even if two or more skills are covered.
Exemplary  Exceeds Standard ~ 90% to
100% correct
Proficient  Meets Standard ~ 80% to
89% correct
Basic ~
70% to 79% correct
Needs Improvement ~
69% correct or less
Student
Average Scores for Mean, Median, and Mode 
Mean 
Median 
Mode 
Assessments 



PreTest 
6%

2%

1%

Culminating Activity 
100% 
100%

100% 
Post Test 
95% 
94% 
98%

The Instructional
Objectives state that given sets of
numbers (data), students will
compute the mean, median, and mode with 80% accuracy. The following table
indicates the number of students who performed at or above master (80% or
better) or below mastery (79% or lower) during these lessons.
Activities
& Assessments
(for 35 students) 
Number
of Students At or Above Mastery
(80% +) 
Number
of Students Below Mastery
(79% or less) 
PreTest  Mean 
2 
33 
PreTest  Median 
0 
35 
PreTest  Mode 
0 
35 
Worksheets  Mean,
Median, Mode
(the mean of each student's grades) 
34 
1 
Culminating Activity 
Mean 
35 
0 
Culminating Activity 
Median 
35 
0 
Culminating Activity 
Mode 
35 
0 
Post Test  Mean 
34 
1 
Post Test  Median 
33 
2 
Post Test  Mode 
34 
1 
Charts of
Individual Students' Results
Reflections and Adaptations
Web
Resources & Supplementary Materials
Introductory Activity
Math to Know, A Mathematics Handbook, Great Source Education Group, Inc.,
2000.
Math at Hand, A Mathematics Handbook, Great Source Education Group, Inc., 1999. Math
on Call, A Mathematics Handbook, Great Source Education Group, Inc.,
1998. Enabling Activity
http://www.bc.co.uk/education/mathsfile/shockwave/games/train.html Accelerated
Math worksheets printed out for individual students
Final PowerPoint Presentation
Mrs. C. Denton
cdenton721@yahoo.com
Hedrick Elementary School
550 S. Waterman Ave.
El Centro, CA 92243
last revised: 05/28/2001
