homework discussion read pages 476 – 489 page 499: 1 – 3, 5, 7 – 11, 19, 21, (for 23, 25, 29,...
TRANSCRIPT
![Page 1: Homework Discussion Read pages 476 – 489 Page 499: 1 – 3, 5, 7 – 11, 19, 21, (for 23, 25, 29, 30, 32, find the mean)](https://reader036.vdocuments.site/reader036/viewer/2022082817/56649e4d5503460f94b43942/html5/thumbnails/1.jpg)
Homework Discussion
• Read pages 476 – 489
• Page 499: 1 – 3, 5, 7 – 11, 19, 21, (for 23, 25, 29, 30, 32, find the mean)
![Page 2: Homework Discussion Read pages 476 – 489 Page 499: 1 – 3, 5, 7 – 11, 19, 21, (for 23, 25, 29, 30, 32, find the mean)](https://reader036.vdocuments.site/reader036/viewer/2022082817/56649e4d5503460f94b43942/html5/thumbnails/2.jpg)
NUMERICAL SUMMARIES OF DATA (page 558)
Measures of location (central tendency) are numbers that tell us something about where the values of the data fall.
The average of a set of N numbers is obtained by adding the numbers and dividing by N.
Example. Average Home runs per season: Mike Sweeney
![Page 3: Homework Discussion Read pages 476 – 489 Page 499: 1 – 3, 5, 7 – 11, 19, 21, (for 23, 25, 29, 30, 32, find the mean)](https://reader036.vdocuments.site/reader036/viewer/2022082817/56649e4d5503460f94b43942/html5/thumbnails/3.jpg)
0
1
2
3
4
5
6
7
8
15 16 17 18 19 20 21 22 23
![Page 4: Homework Discussion Read pages 476 – 489 Page 499: 1 – 3, 5, 7 – 11, 19, 21, (for 23, 25, 29, 30, 32, find the mean)](https://reader036.vdocuments.site/reader036/viewer/2022082817/56649e4d5503460f94b43942/html5/thumbnails/4.jpg)
STEP 1. Calculate the total of the data.
)(...)()( 2211 nn fsfsfstotal STEP 2. Calculate N.
nfffN ...21
STEP 3. Calculate the Average. Average = total / N
THE AVERAGE (page 559).
![Page 5: Homework Discussion Read pages 476 – 489 Page 499: 1 – 3, 5, 7 – 11, 19, 21, (for 23, 25, 29, 30, 32, find the mean)](https://reader036.vdocuments.site/reader036/viewer/2022082817/56649e4d5503460f94b43942/html5/thumbnails/5.jpg)
Example 10. Starting Salaries of Philosophy Majors
Objective 1:
Creating examples and counterexamples
THE MEDIAN
![Page 6: Homework Discussion Read pages 476 – 489 Page 499: 1 – 3, 5, 7 – 11, 19, 21, (for 23, 25, 29, 30, 32, find the mean)](https://reader036.vdocuments.site/reader036/viewer/2022082817/56649e4d5503460f94b43942/html5/thumbnails/6.jpg)
FINDING THE MEDIAN OF N NUMBERS (page 563)
Step 1. Sort the original set.(Let represent the sorted data set.)}d,...,d,d,d{ N321
Step 2. Compute the value of the locator: L=N/2.
Step 3. The median is given by(a) if L is a whole number.
(b) if L is not a whole number.
21 LL dd
Ld
[Notation: is L rounded up]L
![Page 7: Homework Discussion Read pages 476 – 489 Page 499: 1 – 3, 5, 7 – 11, 19, 21, (for 23, 25, 29, 30, 32, find the mean)](https://reader036.vdocuments.site/reader036/viewer/2022082817/56649e4d5503460f94b43942/html5/thumbnails/7.jpg)
0
1
2
3
4
5
6
7
8
15 16 17 18 19 20 21 22 23
![Page 8: Homework Discussion Read pages 476 – 489 Page 499: 1 – 3, 5, 7 – 11, 19, 21, (for 23, 25, 29, 30, 32, find the mean)](https://reader036.vdocuments.site/reader036/viewer/2022082817/56649e4d5503460f94b43942/html5/thumbnails/8.jpg)
Frequency TableScore Frequency %
0 0 0.00%1 1 1.33%2 0 0.00%3 0 0.00%4 0 0.00%5 0 0.00%6 1 1.33%7 2 2.67%8 6 8.00%9 10 13.33%10 16 21.33%11 13 17.33%12 9 12.00%13 8 10.67%14 5 6.67%15 2 2.67%16 1 1.33%17 0 0.00%18 0 0.00%19 0 0.00%20 0 0.00%21 0 0.00%22 0 0.00%23 0 0.00%24 1 1.33%25 0 0.00%N= 75 100.00%
Frequency TableScore Frequency %
0 0 0.00%1 1 1.35%2 0 0.00%3 0 0.00%4 0 0.00%5 0 0.00%6 1 1.35%7 2 2.70%8 6 8.11%9 10 13.51%10 16 21.62%11 13 17.57%12 9 12.16%13 8 10.81%14 5 6.76%15 2 2.70%16 1 1.35%17 0 0.00%18 0 0.00%19 0 0.00%20 0 0.00%21 0 0.00%22 0 0.00%23 0 0.00%24 0 0.00%25 0 0.00%N= 74 100.00%
![Page 9: Homework Discussion Read pages 476 – 489 Page 499: 1 – 3, 5, 7 – 11, 19, 21, (for 23, 25, 29, 30, 32, find the mean)](https://reader036.vdocuments.site/reader036/viewer/2022082817/56649e4d5503460f94b43942/html5/thumbnails/9.jpg)
PERCENTILES (page 489)
The pth percentile of a data set is a value such that p percent of the numbers fall at or below the value and the rest fall at or above it.
![Page 10: Homework Discussion Read pages 476 – 489 Page 499: 1 – 3, 5, 7 – 11, 19, 21, (for 23, 25, 29, 30, 32, find the mean)](https://reader036.vdocuments.site/reader036/viewer/2022082817/56649e4d5503460f94b43942/html5/thumbnails/10.jpg)
FINDING THE PTH PERCENTILE OF N NUMBERS (page 561)
Step 1. Sort the original set.(Let represent the sorted data set.)}d,...,d,d,d{ N321
Step 2. Compute the value of the locator: L=(p/100)xN.
Step 3. The pth percentile is given by(a) if L is a whole number.
(b) if L is not a whole number.
21 LL dd
Ld
[Notation: is L rounded up]L
Example 12. Consider the GPAs of 15 students:3.4, 3.9, 3.3, 3.6, 3.5, 3.4, 4.0, 3.7, 3.3, 3.8, 3.6, 3.9, 3.7, 3.4, 3.6
3.3, 3.3, 3.4, 3.4, 3.4, 3.5, 3.6, 3.6, 3.6, 3.7, 3.7, 3.8, 3.9, 3.9, 4.0,
![Page 11: Homework Discussion Read pages 476 – 489 Page 499: 1 – 3, 5, 7 – 11, 19, 21, (for 23, 25, 29, 30, 32, find the mean)](https://reader036.vdocuments.site/reader036/viewer/2022082817/56649e4d5503460f94b43942/html5/thumbnails/11.jpg)
The 50th percentile of a data set is known as the median and is denoted by M.
The first quartile (denoted ) is the 25th percentile and the third quartile (denoted ) is the 75th percentile.
1Q
3Q
The median (50th percentile) is often called the second quartile.
THE QUARTILES (page 491)
![Page 12: Homework Discussion Read pages 476 – 489 Page 499: 1 – 3, 5, 7 – 11, 19, 21, (for 23, 25, 29, 30, 32, find the mean)](https://reader036.vdocuments.site/reader036/viewer/2022082817/56649e4d5503460f94b43942/html5/thumbnails/12.jpg)
0
1
2
3
4
5
6
7
8
15 16 17 18 19 20 21 22 23
![Page 13: Homework Discussion Read pages 476 – 489 Page 499: 1 – 3, 5, 7 – 11, 19, 21, (for 23, 25, 29, 30, 32, find the mean)](https://reader036.vdocuments.site/reader036/viewer/2022082817/56649e4d5503460f94b43942/html5/thumbnails/13.jpg)
Homework
• Read pages 487 – 495
• Page 499: 23, 25, 29, 30, 32, 33, 35, 37, 38, 41, 44, 45, 65, 67, 69
• There will be an exam on Tuesday 3/20