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What Does My Height Mean? By: Stefanie Del Rosso
Goals:
•The student will determine the mean, median, and mode of
data.
•The student will be able to analyze data and interpret data.
Objectives:
•Given a measuring tape and a blank height chart, the student
will be able to measure the heights of the students in the class
and record the data into a chart with 95% accuracy.
•Given the data of the height of students in the class, the
student will be able to calculate the mean, median, and mode,
with 85% accuracy.
Standards:
• Students will collect, organize, display, and analyze data
Collection of Data 6.S.1 Develop the concept of
sampling when collecting data from a
population and decide the
best method to collect data for a
particular question
Analysis of Data 6.S.5 Determine the mean, mode,
and median for a given set of data
Materials:
•Measuring tape
•Blank height chart
•Pencil
•Eraser
Prerequisites:
•Measuring
•Collection and Organization of Data
•Mathematical Computations (adding, subtracting, multiplication,
division)
Important Terms to Know:
•Mean: the average of a set of values
To calculate the mean:
1. Add up all your values
2. Divide the sum of all the values by how many values there are.
Example;Set of values are {7, 17, 12, 17, 2}
Add them up: 7 + 17 + 12 + 17 + 2 = 55
Divide 55 by the amount of values there are which is 5
11.0 5/ 55
11 is the mean of the set of values { 7,17, 12, 17, 2}
•Median: (a type of average) the middle value of an ordered set of values
To calculate the median:
1. Order your set of values from smallest to greatest
2. Find the middle value
Example;Set of values { 7, 17, 12, 17, 2}
Ordered set of values from least to greatest {2, 7, 12, 17, 17}
Find the middle value
2 7 12 17 17
The median of the set {2, 7, 12, 17, 17} is 12
What if the set has an even amount of values in it?Take the mean of the two middle values. For example, if your set was {2, 4, 6, 7} the middle two numbers are 4 and 6. Then find the mean by adding 4 + 6 = 10. Now divide by 2 which gives you 5. Therefore the median of the set { 2, 4, 6, 7} would be 5
•Mode: (a type of average) in a set of data, the mode is the value that occurs the most
To calculate the mode:
1. Find the frequency (amount of times it occurs) of each value in the set
Example;Set of values { 7, 17, 12, 17, 2}7 occurs once17 occurs twice12 occurs once2 occurs once
Therefore 17 is the mode of the set {7, 17, 12, 17, 2} because it is the most occurring value in the set.
•Data: a collection of facts, such as values or measurements.
Steps/Procedures of Hands on Experiment:
About the Experiment: calculate the mean, median, and mode
of the heights of the students in the class. To do so…
1. Divide students into groups of about 5
2. Have each group measure their heights and record their
heights into a data sheet.
3. Have students go back to their desks and share their data with
the class and teacher. The teacher (or one student per group) will
fill in the data chart on the board, and the students will record the
information on their chart.
4. Calculate the mean, median, and mode, for the class’ height.
5. Interpret data (what does this mean?)
-have students write out what each of these calculations mean
Student Name Height (in inches)
Lizzie 49
Javin 53
Ava 54
Valerie 55
Liam 58
Jayden 60
Charlotte 60
Rickey 60
Maya 62
Example;
Example Continued;
1. What is the mean of the class height in inches? Hint: to find the mean, add up all the heights and divide
by the total number of items you added together.
• Heights Data: 49, 53, 54, 55, 58, 60, 60, 60, 62• Add them together
49 + 53+ 54 + 55 + 58 + 60 + 60 + 60 +62 = • There are _______ total heights • Now take the sum of the heights and divide it by the total
number of heights ______9/ 511
9511
56 r 7
- 45 61 - 54 7
• What can we conclude from this?-The mean height of the class is about 57 inches
2. What is the mode of the class height?• Hint: to find the mode, ask yourself which height in the data
appears the most?• Let’s take another look at our data…
Heights Data: 49, 53, 54, 55, 58, 60, 60, 60, 62The height that appears the most is _________.What does this mean?60 inches is the most occurring height in the class.
3. What is the median of the class height?• Hint: to find the median, arrange your data from smallest to
greatest. Then look for the number in the middle. • Heights Data from smallest to greatest: 49, 53, 54, 55, 58, 60,
60, 60, 62• Now let’s find the middle height…
• 58 inches is the median• What does this mean?
This means that the middle height of the class is 58 inches.
60
49, 53, 54, 55, 58, 60, 60, 60, 62
What Can We Conclude?
After collecting and calculating the students height, we can conclude
that the mean height of the class is about 57 inches. We can
conclude that 60 inches is the mode of the class, and the median
height of the class is 58 inches.
How to connect this hands on experiment with other grade levels? What else can you teach from this experiment?
•Collection of Data
•Organizing Data
•Measuring
•Range
•Minimum and Maximum
•5 Number Summery
•Box and Whisker
•Frequency
•Stem and Leaf Graph
•Normal Distribution and Bell Curve
•Standard Deviation
Links to Websites:
•Maths Resources
•A Maths Dictionary
Citation:
•Eather , J. (2012). A maths dictionary for kids.Retrieved from http://www.amathsdictionaryforkids.com/
•Maths fun. (2012). Retrieved from http://www.mathsisfun.com/
Student Name Height (in inches)
Back to Steps