Histograms
Histograms look like frequency diagrams.
The difference is that you get the frequencies from the area
of the re...
Histograms can be used when
the class intervals are unequal.
Time
Frequency
0 < t < 10
20
10 < t < 20
15
20 < t < 30
10
30...
With a histogram you cant not get the
frequency from the height of the bar.
Instead you get the frequency from the area of...
Find the relevant information for each bar.
0.5

?

10
Width of interval = 10
Frequency density = 0.5
Frequency = 5

1.2

...
Time
Frequency
0 < t < 10
20
10 < t < 15
15
15 < t < 20
10
20 < t < 25
9
25 < t < 40
6

Frequency
Frequency
=
Density
Clas...
Distance

Frequency
0 < t < 20
2
20 < t < 40
4
40 < t < 50
5
50 < t < 70
12
70 < t < 100
9

Frequency
Density

0.1
0.2
0.5...
Remember for a histogram the:
Frequency is equal to the Area of the bar.
Frequency Density is equal to the Height of the b...
Copy and complete the table.
Frequency = frequency density × width of interval

Frequency density

2.4
2.0

Time in
second...
1.0
0.8
Frequency
Density 0.6

0.4
0.2
0

0

20

40

60

80

100

120

Frequency
0 < t < 40
4
40 < t < 80
8
80 < t < 100
1...
Graph to compare the distances that males and females travel in the car per week.
50
40
30
20
10
0

Distance

0

20

40

6...
Length

Frequency

0 < t < 40
40 < t < 80
80 < t < 100
100 < t <
120
120 < t <
200

Length
0 < t < 40
40 < t < 80
80 < t <...
Review
Write a definition of each word below.
Include methods for calculating.
Data set

Frequency

Class interval

Freque...
Upcoming SlideShare
Loading in …5
×

Histograms

1,515
-1

Published on

Published in: Technology, Business
0 Comments
0 Likes
Statistics
Notes
  • Be the first to comment

  • Be the first to like this

No Downloads
Views
Total Views
1,515
On Slideshare
0
From Embeds
0
Number of Embeds
4
Actions
Shares
0
Downloads
53
Comments
0
Likes
0
Embeds 0
No embeds

No notes for slide
  • The results obtained should be compared with the original graph.
  • Histograms

    1. 1. Histograms Histograms look like frequency diagrams. The difference is that you get the frequencies from the area of the rectangles and not the height. Frequency Frequency Density Frequency Diagram Histogram
    2. 2. Histograms can be used when the class intervals are unequal. Time Frequency 0 < t < 10 20 10 < t < 20 15 20 < t < 30 10 30 < t < 40 9 40 < t < 50 6 Time Frequency 0 < t < 10 20 10 < t < 15 15 15 < t < 20 10 20 < t < 25 9 25 < t < 40 6 Equal Class Intervals Unequal Class Intervals
    3. 3. With a histogram you cant not get the frequency from the height of the bar. Instead you get the frequency from the area of the bar. Frequency is equal to the Area of the Bar. Frequency Density is equal to the Height of the Bar. frequency Frequency density = width of interval 0.4 95 110 105 Width of interval = 10 Height (Frequency density) = 0.4 Area (Frequency) = 4
    4. 4. Find the relevant information for each bar. 0.5 ? 10 Width of interval = 10 Frequency density = 0.5 Frequency = 5 1.2 ? ? 2 Width of interval = 5 Frequency = 2 Frequency density = 0.4 5 2 8 ? 20 Width of interval = 20 Frequency density = 1.2 Frequency = 24 Frequency = 8 Frequency density = 2 Width of interval = 4
    5. 5. Time Frequency 0 < t < 10 20 10 < t < 15 15 15 < t < 20 10 20 < t < 25 9 25 < t < 40 6 Frequency Frequency = Density Class width Frequency Density 2 3 2 1.8 0.4 20 ÷ 10 15 ÷ 5 10 ÷ 5 9÷5 6 ÷ 15 3.0 2.5 Frequency 2.0 Density 1.5 1.0 0.5 0 Time 0 5 10 15 20 25 30 35 40
    6. 6. Distance Frequency 0 < t < 20 2 20 < t < 40 4 40 < t < 50 5 50 < t < 70 12 70 < t < 100 9 Frequency Density 0.1 0.2 0.5 0.6 0.3 2 ÷ 20 4 ÷ 20 5 ÷ 10 12 ÷ 20 9 ÷ 30 0.6 0.5 Frequency Density 0.4 0.3 0.2 0.1 0 10 20 30 40 50 Distance 60 70 80 90 100
    7. 7. Remember for a histogram the: Frequency is equal to the Area of the bar. Frequency Density is equal to the Height of the bar. 0.5 ? 1.25 ? 0.8 ? 15 8 Area = 15 x 0.5 = 7.5 Area = 1.25 x 8 = 10 20 Area = 20 x 0.8 = 16
    8. 8. Copy and complete the table. Frequency = frequency density × width of interval Frequency density 2.4 2.0 Time in seconds 1.6 Frequency Area density × (frequency) width 1.2 95 ≤ t < 105 0.4 × 10 4 0.8 105 ≤ t < 110 1.2 × 5 6 0.4 110 ≤ t < 115 1.4 × 5 7 115 ≤ t < 120 2.2 × 5 11 120 ≤ t < 135 0.4 × 15 6 0 95 100 105 110 115 120 125 130 135 Time in seconds
    9. 9. 1.0 0.8 Frequency Density 0.6 0.4 0.2 0 0 20 40 60 80 100 120 Frequency 0 < t < 40 4 40 < t < 80 8 80 < t < 100 16 100 < t < 12 120 120 < t < 12 140 160 Length 200 40 x 0.1 20 x 0.4 20 x 0.8 20 x 1.0 60 x 0.2 180 Distance
    10. 10. Graph to compare the distances that males and females travel in the car per week. 50 40 30 20 10 0 Distance 0 20 40 60 80 100 120 140 160 180 0 20 40 60 80 100 120 140 160 180 Distance 50 40 30 20 10 0
    11. 11. Length Frequency 0 < t < 40 40 < t < 80 80 < t < 100 100 < t < 120 120 < t < 200 Length 0 < t < 40 40 < t < 80 80 < t < 100 100 < t < 120 120 < t < 200 Frequency
    12. 12. Review Write a definition of each word below. Include methods for calculating. Data set Frequency Class interval Frequency polygon Midpoint Class interval Range Histogram Frequency diagram Frequency density
    1. A particular slide catching your eye?

      Clipping is a handy way to collect important slides you want to go back to later.

    ×