data: measures of central tendencies mean median mode range
TRANSCRIPT
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Data: Measures of Central Tendencies
• Mean • Median • Mode • Range
Catego
ry 1
Catego
ry 3
0123456
Series 1Series 2Series 3
0.5 1 1.5 2 2.5 30
0.51
1.52
2.53
3.5
1/5/2
002
1/7/2
002
1/9/2
0020
10
20
30
Series 1Series 2
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Using linker cubes, make a bar graph to represent the price of the toys below.
Football$8
Doll$12
Jump Ropes$3
Car$5 Game
$7
Top$1
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Leveling the Bars
Football$8
Doll$12
Jump Ropes$3
Car$5
Game$7
Top$1
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Mean Leveling Calculation
Football$8
Doll$12
Jump Ropes$3
Car$5
Game$7
Top$1
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How do we find Median?
Football$8
Doll$12
Jump Ropes$3
Car$5
Game$7
Top$1
Median: The middle value in an ordered set of data, or the mean of the two middle numbers
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How do we create an ordered set?
Football$8
Doll$12
Jump Ropes$3
Car$5
Game$7
Top$1
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How do we find Median?Median: The middle value in an ordered set of
data, or the mean of the two middle numbers
Football$8
Doll$12
Jump Ropes$3
Car$5
Game$7
Top$1
Median = ?6
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Mode
What is the mode?
Football$8
Doll$12
Jump Ropes$3
Car$5
Game$7
Top$1
NO MODE
Marbles$5
$5
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Range
What is the range?
Football$8
Doll$12
Jump Ropes$3
Car$5
Game$7
Top$1
The difference in the highest and the lowest values.
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Range
What is the range?
Doll$12
The difference in the highest and the lowest values.
Top$1
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Use linker cubes to make a bar graph, letting a different color represent the cost of each toy.
Football$8
Jump Rope$3
Car$5
Top$1
A child received money as a gift from grandparents. The money was used to buy one
of each of these toys.
Game$7
Doll$12
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Football$8
Doll$12
Jump Ropes$3
Car$5
Game$7
Top$1
Which one costs the most?_________The least? _________
At this point, is it easy to see the percent of the total money that each toy represents? _______
What does PERCENT mean? ________________
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Put all the stacks into one long tower.
Transfer this representation to graph paper and color in the blocks.
Football$8
Doll$12
Jump Ropes$3
Car$5
Game$7
Top$1
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What kind of graph shows things in percentages?
Cut out the strip of colored graph paper.
Circle it around and tape the ends together. Do NOT overlap the
ends!
Put this on top of a piece of dot paper. Make sure the center of the circle is exactly on one of the cross bars. Put a bold dot at
the center.
Draw off the sections for each color.
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Identify on the graph, each toy’s fractional part of the total cost.
Identify the degreee of
each section.
State the percent of the total cost for
each toy.
8/36 = 2/9
80o
22.2%