Median and Range in Data Analysis

Stand up!
Form a line around the room.
Arrange yourselves into 
ascending
 height order
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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
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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
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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?
What are the largest & smallest 
ranges & medians you can make? 
1, 2, 3, 6, 9
Some Answers
Some Answers
Range = 
Median = 
Range = 8
Median = 3
4, 4, 5, 6, 6
Range = 2
Median = 5
,
,
,
,
DIGIT
  Puzzle
Use any digits
Use digits only once
What are the largest & smallest 
ranges & medians you can make? 
Some Answers
Some Answers
Range = 
Median = 
How many different ways can you fill the boxes?
,
,
,
,
,
To finish…
To finish…
 
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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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  1. Stand up! Form a line around the room. Arrange yourselves into ascending height order What is the range of heights?

  2. Stand up! Form a line around the room. Arrange yourselves into ascending height order Who is in the middle?

  3. 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.

  4. Median Find the median of these values: 5 7 10 < < 12 15 < < First check, is the list in ascending order?

  5. Median Find the median of these values: 5 7 10 12 15 10 is the middle value

  6. 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

  7. Median Find the median of these values: 8 9 10 12 9.5 is the middle value

  8. 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

  9. 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

  10. 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

  11. 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

  12. 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

  13. 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?

  14. To finish

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