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

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

Leveling the Bars

Football$8

Doll$12

Jump Ropes$3

Car$5

Game$7

Top$1

Mean Leveling Calculation

Football$8

Doll$12

Jump Ropes$3

Car$5

Game$7

Top$1

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

How do we create an ordered set?

Football$8

Doll$12

Jump Ropes$3

Car$5

Game$7

Top$1

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

Mode

What is the mode?

Football$8

Doll$12

Jump Ropes$3

Car$5

Game$7

Top$1

NO MODE

Marbles$5

$5

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.

Range

What is the range?

Doll$12

The difference in the highest and the lowest values.

Top$1

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

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? ________________

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

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.

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%