1. Topic-
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| Investigating Median, Mode, Mean, and Range. |
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2. Content-
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This Lesson will provide students the opportunity to identify and
apply median, mode, mean, and range.
Median - the middle value in an ordered set of data.
Mode - The value that occurs most frequently in the data set.
Mean - Computed by adding all of the numbers in a set and dividing
the sum by the number of elements added.
Range - the difference between greatest and least number.
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3. Goals: Aims/Outcomes-
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1.Define Median, Mode, Mean, and Range
2. understand steps needed to find Median, Mode, and Mean. |
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4. Objectives-
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1.Develop a strategic approach to organizing data.
2.Understand the relationship between numbers in a data set through
the calculation of median, mode, mean, and range.
3. Analyze data from tables and interpret double bar graphs. |
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5. Materials and Aids-
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Ball of string
Scissors
Yardstick
Activity sheets
Homework
Overhead transparencies or projector |
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6. Procedures/Methods-
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A. Introduction-
1.Introduce key vocabulary: Median, Mode, Mean, and Range.
2. Tell story to class:
" The residents of Whateverville need your help! Mayor Wallop, a scientist,
has invented a weather machine. Now he has control of the weather
for the entire region and has subjected the residents of Whatevrville
to so many different temperatures that they don't know what season
it is. One day its 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.
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B. Development-
1.Show: Whateverville's Temperature One Week
2. Explain: The first step to help the residents of Whateverville
solve this problem is to sort the temperatures from least to greatest.
0 10 50 50 62 90 106
3. Ask:
what is the highest temperature? (106)
what is the lowest? (0)
what is the middle temperature in the set ordered from least to greatest?
(50 this is the median)
what is the temperature that occurs most frequently? (50 this is the
mode)
what is the difference between the highest temperature and the lowest
temperature? (106-0=106 This is the range)
Based on the range would you say the data are clustered together or
spread out? would the range of normal weather patterns be larger or
smaller? (The data from Whateverville is spread out,; Normal weather
patterns should have smaller ranges)
How can you calculate the average or mean temperature in Whateverville?
(the mean can be found by adding all the numbers together and dividing
by the number of temperatures)
4. Have class write the definitions of Median, Mode, Mean, and Range
in their journal.
Median - middle number
Mean - average
Mode - most frequent number
Range - difference between greatest and least number
5. model to the class how to find the Mean of Whateverville's temperature. |
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C. Practice-
1.Understanding Mean Group Activity
work together in groups of four. |
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D. Independent Practice-
1.Understanding Median, Mode, and Mean worksheet
(Finish as homework) |
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E. Accommodations (Differentiated Instruction)-
| Continue the Whateverville story with Pre-AP classes during Day
1 |
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F. Checking for understanding-
1.For any data set, which is greater the Median or Mode?
(It depends on the data set. Data with several identical low number
may have a greater median. Data with several identical high numbers
may have a greater mode.
2.Is the mode of a set always one of the numbers in a set?
(The mode is always a number in a set, unless all of the numbers appear
only once. Then there is no mode.)
3.Is the median always one of the numbers in a set?
(If the data set has an odd number of values, the middle number is
the median. If the data set has an even number of values, then the
median is the value halfway between the two middle numbers.
4. When adding numbers to find the mean, does it matter the order
in which they are added?
(no, the data can be added in any order.) |
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