Understanding Median and Range in Data Analysis
Learn how to find the median and range of a set of numbers, organize data in ascending order, calculate the middle value, and distinguish which data sets allow for determining the median.
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Stand up! Form a line around the room. Arrange yourselves into ascending height order What is the range of heights?
Stand up! Form a line around the room. Arrange yourselves into ascending height order Who is in the middle?
The height of the middle person when you stood in height order was the median. Half of the heights in the class are bigger than this number, and half are smaller.
Median Find the median of these values: 5 7 10 < < 12 15 < < First check, is the list in ascending order?
Median Find the median of these values: 5 7 10 12 15 10 is the middle value
Find the median of these sets of numbers on your whiteboard 3, 3, 6, 1, 4, 2, 9 12, 16, 7, 2, 10 234, 653, 342, 903, 211
Median Find the median of these values: 8 9 10 12 9.5 is the middle value
Find the median of these sets of numbers on your whiteboard 3, 3, 6, 1, 4, 2, 9, 2 12, 16, 7, 2, 10, 12 10, 4, 5, 6, 2, 7 10, 15, 12, 20, 25, 42
Which of these sets of data is it possible to find the median of? The shoe sizes of students in your class The number of pets owned by students in your class The eye colour of students in your class The number of siblings of students in your class
Title: Median and Range Copy and complete the following sentences in your own words. To work out the range of a set of numbers To work out the median
DIGIT Puzzle How many different ways can you fill the boxes? Range = 8 Median = 3 1, 2, 3, 6, 9 Range = , , , , Median = Range = 2 Median = 5 4, 4, 5, 6, 6 What are the largest & smallest ranges & medians you can make? Some Answers
DIGIT Puzzle How many different ways can you fill the boxes? Range = , , , , , Median = Range = 8 Median = 4 1, 2, 3, 5, 7, 9 Use any digits What are the largest & smallest ranges & medians you can make? Use digits only once Range = 7 Median = 4 1, 2, 3, 5, 6, 8 Range = 9 Median = 5 0, 2, 4, 6, 7, 9 Some Answers
To finish Substitue ? = 30 into each of these expressions and find the range and median of your answers. ?2 25? 80 10 000 14? 180 000 ? 2500 + 17?
