Density Histograms and Bivariate Graphs

advertisement
Make & describe a stemplot for the
following weights in pounds
229
246
320
214
197
347
202
247
198
360
218
406
223
628
347
260
414
276
261
196
Create a Histogram for the # credit card
returns:
36
57
75
73
32
49
63
35
35
35
47
39
28
42
41
24
Using the calculator






Put data in L1
Go to 2nd y=
Turn on, turn on histogram (make sure xlist is
L1 or whatever list your data is in)
Hit zoom9
Go to window. Set xmin to smallest value
and scl = class width.
Press graph. (Trace will show all values)
More on Histograms
Car Speed (mpg)
Frequency
Relative
Cumulative
freq
18 to < 25
25 to < 32
32 to < 39
39 to < 46
46 to < 53
10
14
4
2
2
.313
.438
.125
.063
.063
freq
.313
.75
.88
.94
1.00
1. What percent get less that 39 mph?
2. What percent at least 39 mph?
3. What is the mph for the top 12% of cars?
Weight
Freq.
Rel. Freq
Cum R. F
180-200
4
0.07
0.07
200-220
8
.13
.2
220-240
15
.25
.45
240-260
20
.33
.78
260-280
7
.12
.9
280-300
6
.1
1
1. What percent weigh less than 240?
2. What percent weigh at least 229?
3. What is the cut off for the bottom 45%?
Weight
Freq.
Rel. Freq
Cum R. F
180-200
4
.07
.07
200-220
8
.13
.2
220-240
15
.25
.45
240-260
20
.33
.78
260-280
7
.12
.9
280-300
6
.1
1
1. What percent weigh 260 or more?
2. What percent weigh 235 or more?
3. What is the cutoff for the heaviest 10%?
Weight
Freq.
Rel. Freq
Cum R. F
180-200
4
.07
0.07
200-220
8
.13
.2
220-240
15
.25
.45
240-260
20
.33
.78
260-280
7
.12
.9
280-300
6
.1
1
1. What percent weigh between 220 and 240?
2. What percent weigh between 240 and 250?
Time(mth)
Freq.
Rel. Freq
Cum R. F
0-6
2
.022
.022
6-12
10
.112
.135
12-18
21
.236
.371
18-24
28
.315
.685
24-30
22
.247
.933
30-36
6
.067
1
1. What percent did not malfunction in the 1st 2 years?
2. What percent required replacement within 1.5 and 2.5 years?
3. At what time had 50% failed?
4. What percent lasted at least 30 months?
More on Histograms
Density Histograms
Density =
relative frequency of the class
class width
This ensures that the area of the rectangle is
proportional to the corresponding frequency.
Class
Freq
0 - 0.1
4
0.1 - 0.2
8
0.2 - 0.4
10
0.4 - 2.0
12
Rel. Freq.
Density
Class
Freq
0 - 10
6
10 - 20
12
20 - 40
20
40 - 60
18
60 - 100
14
Rel. Freq.
Density
Class
Freq
0 -100
24
100 - 300
28
300 - 600
30
600 - 1000
26
Rel. Freq.
Density
Graph the following:
Class
20-40
40-60
60-100
100-200
200 – 800
Freq.
35
27
20
10
28
Bivariate
Ojive – cumulative frequency
graph
1. Find the cumulative frequencies
2. Plot beginning of class on the horizontal axis and
the cumulative frequencies on the vertical axis.
Ages
Freq.
13 – 19
5
19 – 25
8
25 – 31
11
31 – 37
20
37 – 43
6
Time Series – Line plot that plots each
observation against the time of the observation.
Year
Life expectancy
Year
Life expectancy
1900
48.3
1960
73.1
1910
51.8
1970
74.7
1920
54.6
1980
77.5
1930
61.6
1990
78.8
1940
65.2
2000
79.5
1950
71.1
Scatter plots

Graphs an ordered pair.

Put the data in L1 and L2

Press 2nd Stat Plot to turn the graph on

Press ZOOM 9 to graph
Create a scatterplot & find the
line of best fit.
Wt Cl
(kg)
Total
Lifted
(kg)
46
140
50
127
54
165
59
167
64
192
70
185
76
198
83
200
Let’s try another one! Use it to
predict the sodium for 40 g of fat.
Fat (g)
Sodium
19
920
31
1500
34
1310
35
860
39
1180
39
940
43
1260
Homework

Worksheet

Bring colored candy for lab tomorrow!
Download