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Mean, Median & Mode

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Mean, Median & Mode

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What you will learn from this videoWhat you will learn

We’ll learn that the mean is the average value in a data set.
That the median is the middle number in an ordered data set.
And that the mode is the value that occurs most often.

Discussion Questions
- Before Video
  What is an example of a question where you could show the answers on a line plot? Why would this question work well on a line plot?ANSWER
  - How many hours did you work this week? This is a good question for the answers to be put on a line plot because the answers are numerical.
  What is an example of a question where you could not show the answers on a line plot? Why would this question not work?ANSWER
  - What is your favorite color? This is not a good question for the answers to be put on a line plot because the answers are not numerical.
  Which is a better question to use for collecting data: How old am I? or How old are the students in my school? Explain.ANSWER
  - The question How old am I? only gives one answer, your age. The question How old are the students in my school? provide a data point for each student in the school. The question How old are the students in my school? is a better question for data collection because it results in lots of data.
  Miguel went fishing and measured the length of each fish he caught, in inches: 6, 5, 6, 4 [ggfrac]1/2[/ggfrac], 6 [ggfrac]1/2[/ggfrac], 6, 5 [ggfrac]1/2[/ggfrac], 6, 4 [ggfrac]1/2[/ggfrac], 5 [ggfrac]1/2[/ggfrac].
  
  Make a line plot to show the data. What does the line plot tell you about the data?ANSWER
  - The measurements of the fish go from 4 [ggfrac]1/2[/ggfrac] inches to 6 [ggfrac]1/2[/ggfrac] inches. 6 inches is the most frequent length of a fish. None of the fish measured less than 4 [ggfrac]1/2[/ggfrac] inches, and no fish measured more than 6 [ggfrac]1/2[/ggfrac] inches.
  Jean asked a group of her friends how many letters are in their first name and included the number of letters in her own name in the data. This is the data that she collected: 4, 3, 5, 4, 6, 3, 6, 4, 6, 4, 3, 5, 4, 3, 7. Make a line plot to show the data. Use the line plot to answer these questions:
  • What answer is most frequent?
  • If you randomly choose one of Jean’s friends, what would their answer most likely be? Explain.
  
  ANSWER
  - The most frequent answer is 4 letters in the first name. If I randomly choose a person in this group, I think their answer would most likely be 5. If I make a list of the numbers in the answers, it has 3, 4, 5, 6, 7. The number in the middle of this list is 5, so I think the answer would most likely be 5.
- After Video
  What are the three measures of center? How would you describe each one?ANSWER
  - The three measures of center are mean, median, and mode. The mean is the average of a set of data. The median is the middle number in an ordered set of data. The mode is the data value that appears most often.
  You have a set of data with a few outliers. Would it be more appropriate to use the mean or the median as a measure of center? Why?ANSWER
  - Outliers have a significant effect on the mean, so it would be better to use the median as a measure of center.
  You are given this data and asked to find the mean. What are the steps you would use? What is the mean of this set of data? Temperature at Noon Each Day for 10 Days: 74°F, 81°F, 87°F, 83°F, 85°F, 95°F, 83°F, 79°F, 91°F, 72°FANSWER
  - Add the numbers in the data set and divide by the number of data points in the set, in this case 10. The mean is 83°F.
  You are given this data and asked to find the median. What are the steps you would use? What is the median for this set of data? Starting at the year 2008, a state-wide census was taken every 2 years until 2020. The census found that the state population, in thousands, was 135.2, 135.3, 136.1, 135.9, 135.8, 136.3, 136.2. What was the median of the population during that time?ANSWER
  - List the populations in order from least to greatest. Find the value that is in the middle of the list. That is the median. The median of this data is 135.9 thousand.
  You are given this data and asked to find the mode. What are the steps you would use? What is the mode for this set of data?
  
  A group of 5 students decided to see how far they could jump. Here is the data they collected:
  
  Jacy: 2.6 m
  
  James: 2.3 m
  
  Ladawn: 2.7 m
  
  Ping: 2.1 m
  
  Bianca: 2.3 m
  ANSWER
  - I would look for the measurement that appeared most often. 2.3 m appears two times and the other measurements appear one time each. 2.3 m is the mode.
Vocabulary
- Mean DEFINE
- Data set DEFINE
- Median DEFINE
- Mode DEFINE
- Line plot DEFINE
- Data point DEFINE
- Outliers DEFINE
- Measure of center DEFINE

Reading Material
Practice Word Problems
Practice Number Problems
Lesson Plan
Teacher Guide
Assessment
Online Quiz Game Quiz PDF Exit Ticket