Section 1.2 Part 2 AP Statistics September 11, 2008 Berkley High School, D1B1.
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Transcript of Section 1.2 Part 2 AP Statistics September 11, 2008 Berkley High School, D1B1.
![Page 1: Section 1.2 Part 2 AP Statistics September 11, 2008 Berkley High School, D1B1.](https://reader035.fdocuments.in/reader035/viewer/2022072017/56649f0a5503460f94c1e55d/html5/thumbnails/1.jpg)
Section 1.2Part 2
AP StatisticsSeptember 11, 2008Berkley High School, D1B1
![Page 2: Section 1.2 Part 2 AP Statistics September 11, 2008 Berkley High School, D1B1.](https://reader035.fdocuments.in/reader035/viewer/2022072017/56649f0a5503460f94c1e55d/html5/thumbnails/2.jpg)
AP Statistics, Section 1.2, Part 2 2
Describing with Numbers: Spread/Standard Deviation s2 is called the
variance, and its in units2
s is called the standard deviation, and its in units.
2)(1
1xx
ns i
1
)()()( 222
212
n
xxxxxxs n
![Page 3: Section 1.2 Part 2 AP Statistics September 11, 2008 Berkley High School, D1B1.](https://reader035.fdocuments.in/reader035/viewer/2022072017/56649f0a5503460f94c1e55d/html5/thumbnails/3.jpg)
AP Statistics, Section 1.2, Part 2 3
Describing with Numbers: Spread/Standard Deviation s measures spread about the mean and
should be used only when the mean is chosen as the measure of center
s equals 0 only when there is no spread. This happens only when all observations have the same value.
s is not resistant. Outliers effect it adversely.
![Page 4: Section 1.2 Part 2 AP Statistics September 11, 2008 Berkley High School, D1B1.](https://reader035.fdocuments.in/reader035/viewer/2022072017/56649f0a5503460f94c1e55d/html5/thumbnails/4.jpg)
AP Statistics, Section 1.2, Part 2 4
Calculating s by hand
Observation(x-bar)
Deviation(x-sub-i – x-bar)
Squared Deviation
1792
1666
1362
1614
1460
1867
1439
Sum = 11200
Mean = 1600
![Page 5: Section 1.2 Part 2 AP Statistics September 11, 2008 Berkley High School, D1B1.](https://reader035.fdocuments.in/reader035/viewer/2022072017/56649f0a5503460f94c1e55d/html5/thumbnails/5.jpg)
AP Statistics, Section 1.2, Part 2 5
Calculating s by hand
Observation(x-bar)
Deviation(x-sub-i – x-bar)
Squared Deviation
1792 1792-1600 = 192
1666 1666-1600 =66
1362 1362-1600 =-238
1614 1614-1600 =14
1460 1460-1600 =-140
1867 1867-1600 =267
1439 1439-1600 =-161
Sum = 11200
Mean = 1600
Sum = 0
![Page 6: Section 1.2 Part 2 AP Statistics September 11, 2008 Berkley High School, D1B1.](https://reader035.fdocuments.in/reader035/viewer/2022072017/56649f0a5503460f94c1e55d/html5/thumbnails/6.jpg)
AP Statistics, Section 1.2, Part 2 6
Calculating s by hand
Observation(x-bar)
Deviation(x-sub-i – x-bar)
Squared Deviation
1792 1792-1600 = 192 192 * 192 = 36864
1666 1666-1600 =66 4356
1362 1362-1600 =-238 56644
1614 1614-1600 =14 196
1460 1460-1600 =-140 36864
1867 1867-1600 =267 71289
1439 1439-1600 =-161 25921
Sum = 11200
Mean = 1600
Sum = 0 Sum = 214870
![Page 7: Section 1.2 Part 2 AP Statistics September 11, 2008 Berkley High School, D1B1.](https://reader035.fdocuments.in/reader035/viewer/2022072017/56649f0a5503460f94c1e55d/html5/thumbnails/7.jpg)
AP Statistics, Section 1.2, Part 2 7
Calculating s by hand
67.35811
6
21487017
214870
2
2
2
s
s
s
24.189
67.35811
s
s
![Page 8: Section 1.2 Part 2 AP Statistics September 11, 2008 Berkley High School, D1B1.](https://reader035.fdocuments.in/reader035/viewer/2022072017/56649f0a5503460f94c1e55d/html5/thumbnails/8.jpg)
AP Statistics, Section 1.2, Part 2 8
Calculating s using TI-83
![Page 9: Section 1.2 Part 2 AP Statistics September 11, 2008 Berkley High School, D1B1.](https://reader035.fdocuments.in/reader035/viewer/2022072017/56649f0a5503460f94c1e55d/html5/thumbnails/9.jpg)
AP Statistics, Section 1.2, Part 2 9
Calculating s using TI-83
![Page 10: Section 1.2 Part 2 AP Statistics September 11, 2008 Berkley High School, D1B1.](https://reader035.fdocuments.in/reader035/viewer/2022072017/56649f0a5503460f94c1e55d/html5/thumbnails/10.jpg)
AP Statistics, Section 1.2, Part 2 10
Calculating s using TI-83
![Page 11: Section 1.2 Part 2 AP Statistics September 11, 2008 Berkley High School, D1B1.](https://reader035.fdocuments.in/reader035/viewer/2022072017/56649f0a5503460f94c1e55d/html5/thumbnails/11.jpg)
AP Statistics, Section 1.2, Part 2 11
Linear Transformations
Adding “a” does not change the shape or spread
Adding “a” does change the center by “a”
bxay
![Page 12: Section 1.2 Part 2 AP Statistics September 11, 2008 Berkley High School, D1B1.](https://reader035.fdocuments.in/reader035/viewer/2022072017/56649f0a5503460f94c1e55d/html5/thumbnails/12.jpg)
AP Statistics, Section 1.2, Part 2 12
Linear Transformations
Multiplying by “b” does change the shape or spread by “b”
Multiplying by “b” does change the center by “b”
bxay
![Page 13: Section 1.2 Part 2 AP Statistics September 11, 2008 Berkley High School, D1B1.](https://reader035.fdocuments.in/reader035/viewer/2022072017/56649f0a5503460f94c1e55d/html5/thumbnails/13.jpg)
AP Statistics, Section 1.2, Part 2 13
Assignment
Exercises 1.40 – 1.47, The Practice of Statistics.