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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?ANSWERHow 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 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.
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.
Make a line plot to show the data. What does the line plot tell you about the data?ANSWERThe 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.
• What answer is most frequent?
• If you randomly choose one of Jean’s friends, what would their answer most likely be? Explain.
ANSWERThe 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?ANSWERThe 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.
Outliers have a significant effect on the mean, so it would be better to use the median as a measure of center.
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.
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.
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
ANSWERI 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
The average for a set of data.
- Data set DEFINE
A collection of data.
- Median DEFINE
The middle number in an ordered set of data.
- Mode DEFINE
The value that occurs most often in a set of data.
- Line plot DEFINE
Shows data on a number line.
- Data point DEFINE
A single piece of information.
- Outliers DEFINE
Data points that are far away from the other data points.
- Measure of center DEFINE
A value that tells us about the center of a data set.
- Mean DEFINE
- Reading Material
- Practice Word Problems
- Practice Number Problems
- Lesson Plan
- Teacher Guide