Investigating

Mean, Median, Mode

and Range

Monica Sanchez

Gabriela Hernandez Grade Level: 6 The real world offers many situations in which you will want to know some things about a given data set. We will be looking at the different data sets and figuring out how to summarize and compare them. We will explore three different key terms: mean, median, mode and range. Introduction Key Vocabulary Students will be given a bag of chocolates to count and graph the number of pieces in their packs by color. Each group will graph their results by using a dry-erase board.

In groups they will find the mean, median, mode and range of the m&m's in the bag. Opening Activity Goals of the Lesson Plan Students will:

Develop a strategic approach to organizing data.

Understand the relationship between numbers in a data set through the calculation of median, mode, mean, and range.

Analyze data from tables and interpret double bar graphs. TEKS: 111.22. Mathematics, Grade 6.

(10) Probability and statistics. The student uses statistical representations to analyze data. The student is expected to:

(A) select and use an appropriate representation for presenting and displaying different graphical representations of the same data including line plot, line graph, bar graph, and stem and leaf plot;

(B) identify mean (using concrete objects and pictorial models), median, mode, and range of a set of data;

(D) solve problems by collecting, organizing, displaying, and interpreting data.

STAAR Alignment:

(6.10). The student uses measures of central tendency and variability to describe a set of data ELP Standards (b) A school district must provide instruction in the essential knowledge and skills of the appropriate grade levels in the foundation and enrichment curriculum as specified in paragraphs (1)-(13) of this subsection. A school district may add elements at its discretion but must not delete or omit instruction in the foundation and enrichment curriculum specified in subsection (a) of this section.

(2) Chapter 111 of this title (relating to Texas Essential Knowledge and Skills for Mathematics); Materials Worksheets

Dry-erase board

M&M's Mean Average.

The sum of a set of data divided by the number of data.

(Do not round your answer unless directed to do so.) Median The middle value, or the mean of the middle two values, when the data is arranged in numerical order. Think of a "median" being in the middle of a highway. Mode The value ( number) that appears the most.

It is possible to have more than one mode, and it is possible to have no mode. If there is no mode-write "no mode", do not write zero (0) . Range This is the difference between the highest

and lowest values in the set. Procedures

1. Tell this story to the class.

The residents of El Paso need your help! A recognized scientist, has invented a weather machine. Now he's in control of the weather for the entire region and has subjected the residents of El PASO to so many different temperatures that they don't know what season it is. One day it's snowing; the next day it's over 100 degrees! The plants are dying, and people are getting sick. Take a look at the temperatures in the past week. Questions

What is the highest temperature this week? (110°)

What is the lowest? (0°)

What is the middle temperature in the set of temperatures ordered from least to greatest? (53°) This is the median.

What is the temperature that occurs most frequently? (53°) This is the mode.

What is the difference between the highest temperature and the lowest temperature? (110° - 0° = 110°). This is the range. Model your Thinking

If I want to find the mean or average, I add all the temperatures together

(0 + 10 + 53 + 53 + 82 + 97 + 110 = 405)

And divide by the number of temperatures in the set (7).

(405 ¸ 7 = 57.85°).

Then I can round to the tenths place (57.9°). Assessment To check for understanding, have the students answer the Assessment Questions.

Students should be able to:

Identify median, mode, range, and mean and the steps or operations needed to find them.

Successfully order data from least to greatest. References http://mathgoodies.com

http://www.regentsprep.org/Regents/math/ALGEBRA/AD2/measure.htm

http://teachervision.com Show El PASO’S Temperatures One Week

Explain that the first step to help the residents of EL PASO solve this problem is to sort the temperatures from least to greatest.

0° 10° 53° 53° 82° 97° 110° BED 4310

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# Investigating Mean, median, mode and range

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