+
Mean, Median, Mode, and Range

Mean, Median, Mode, and Range

Author: Sarah Carlson
Description:

By the end of the lesson the student will be able to display and interpret data and determine mean, median, mode and range using a set of numbers.

NATIONAL and STATE STANDARD Lesson Covers

Common Core State Standards for MAT HEMAT ICS

grade 6 |  Statistics and Probability Standards

6.SP

2. Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape.

3. Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number. Summarize and describe distributions.

4. Display numerical data in plots on a number line, including dot plots, histograms, and box plots.

5. Summarize numerical data sets in relation to their context, such as by:

a. Reporting the number of observations.

b. Describing the nature of the attribute under investigation, including how it was measured and its units of measurement.

c. Giving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered.

d. Relating the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered.

Minnesota State Standards:  Grade 5

Standard 5.4.1

Display and interpret data; determine mean, median and range.

.5.4.1 Data Analysis

Benchmarks:

5.4.1.1 Mean, Median & Range

5.4.1.2 Display & Interpret Data

 

 

 Math Vocabulary Words:

Mean. A measure of center in a set of numerical data, computed by adding the values in a list and then dividing by the number of values in the list.4 Example: For the data set {1, 3, 6, 7, 10, 12, 14, 15, 22, 120}, the mean is 21.

Mean absolute deviation. A measure of variation in a set of numerical data, computed by adding the distances between each data value and the mean, then dividing by the number of data values. Example: For the data set {2, 3, 6, 7, 10, 12, 14, 15, 22, 120}, the mean absolute deviation is 20.

Median. A measure of center in a set of numerical data. The median of a list of values is the value appearing at the center of a sorted version of the list—or the mean of the two central values, if the list contains an even number of values. Example: For the data set {2, 3, 6, 7, 10, 12, 14, 15, 22, 90}, the median is 11.

Mode:

Interquartile Range. A measure of variation in a set of numerical data, the interquartile range is the distance between the first and third quartiles of the data set. Example: For the data set {1, 3, 6, 7, 10, 12, 14, 15, 22, 120}, the interquartile range is 15 – 6 = 9. See also: first quartile, third quartile.

Line plot. A method of visually displaying a distribution of data values where each data value is shown as a dot or mark above a number line. Also known as a dot plot.

Instructional Lesson:

  • Watch Video of Instructional Lesson
    • I have included the power point of the lesson without audio if you would like to give your own explanation of the lesson. 

 

Class Practice:

  • Complete Pavano Worksheet #1
    • You will need to use the Stats sheet to help you find the answers
    • The answer sheet is also attached to the Learning Packet

Independent Practice:

 

Other Resources:

You Tube Videos:  Songs explaining learning concept

  • Measures of Central Tendency Rap
  • Mean, Median, Mode, Range Rap Song
  • Mean, Median, Mode Math Song

Math Articles:

  • Research on Students’ Thinking and Reasoning about Averages and Measures of Center
  • Generating meaning for range, mode, median, and mean
(more)
See More

Try Our College Algebra Course. For FREE.

Sophia’s self-paced online courses are a great way to save time and money as you earn credits eligible for transfer to over 2,000 colleges and universities.*

Begin Free Trial
No credit card required

25 Sophia partners guarantee credit transfer.

221 Institutions have accepted or given pre-approval for credit transfer.

* The American Council on Education's College Credit Recommendation Service (ACE Credit®) has evaluated and recommended college credit for 20 of Sophia’s online courses. More than 2,000 colleges and universities consider ACE CREDIT recommendations in determining the applicability to their course and degree programs.

Tutorial

Mean, Median, Mode, Range Math Lesson

Source: Presented by: Sarah Carlson - Educational Consultant

Power Point Lesson

Pavano Worksheet #1

Full Screen

Source: Created by Sarah Carlson

Pavano Worksheet Answer Sheet

Full Screen

Mean, Median, Mode, and Range Rap Song

Source: You Tube

Mean, Meadin, Mode, and Range Math Song

Source: You Tube

Mean, Median, Mode Math Song

Source: YouTube.com

NCTM Research Brief- Averages and Measure of Center

Full Screen

Source: National Council of Teachers for Mathematics Research Brief- 2007

Generating Meaning for Range, Mode, Median, and Mean

Full Screen

Source: Generating meaning,LouAnn H. Lovin, Joey Mason, and Erin Shifflett, November 2009 • teaching children mathematics, NCTM