1. Unit 7. Day 7.

2. What are mean, median, and mode used for?7 7 7 5 6 7 1 2 3 4 8 9 10 11

3. What are mean, median, and mode used for?2 5 4 5 6 7 1 2 3 4 8 9 10 11

4. What are mean, median, and mode used for?11
9.35 11 5 6 7 1 2 3 4 8 9 10 11

5. There can be problems with mean, median, and mode.

6. Example A: Find the mean, median, and mode of the worker wages per hour at a store.
$10
$12
$ 8
$11
$12
$18
$11
$10
$14
$17
$19
$11
$ 9
$16
$ 15
$ 21
$ 9
$ 101
Mean: 10 + 11 + 9 + 12 + 10 + 16 + 8 + 14 + 15 + 11
324 18 + 17 + 21 + 12 + 19 + 9 + 18 + 11 +
101 = =
$18 18
Median:
8, 9, 9, 10, 10, 11, 11, 11, 12, 12, 14, 15, 16, 17, 18, 19, 21, 101
Mode:
$11

7. Median: Mode: Mean: $10 $12 $ 8 $11 $12 $18 $11 $10 $14 $17 $19 $11
$ 9
$16
$ 15
$ 21
$ 9
$ 101
Median:
Mode:
Mean: 11 12 18 20 30 50
100 10

8. Example A with a correction for the outlier
$10
$12
$ 8
$11
$12
$18
$11
$10
$14
$17
$19
$11
$ 9
$16
$ 15
$ 21
$ 9
$ 101
Mean: 10 + 11 + 9 + 12 + 10 + 16 + 8 + 14 + 15 + 11
324 18 + 17 + 21 + 12 + 19 + 9 + 18 + 11 +
101 = =
$18 18
This is an “outlier” 10 + 11 + 9 + 12 + 10 + 16 + 8 + 14 + 15 + 11
223 17 + 17 + 21 + 12 + 19 + 9 + 18 + 11 = =
$13.11 17

9. Mean: $10 $12 $ 8 $11 $12 $18 $11 $10 $14 $17 $19 $11 $ 9 $16 $ 15
$ 21
$ 9
$ 101
Mean: 18 50
100 10 20 30

10. Problems Mean: Median: Mode: Outliers 
When one or two values are unusually large or small, this distorts the average
Outliers 
Median:
Mode:

11. Real-world: outlier effect
$37,000
vs.
$74,940

12. Example B: Find the mean, median, and mode of the weights of the people about to get on an elevator.
160
250
260
235 80 95
100
290 70 85
300
Mean: = =
175 11
Median:
70, 80, 85, 95, 100, 160, 235, 250, 260, 290, 300
Mode: ?

13. Problems Mean: Median: Mode: Outliers   
When one or two values are unusually large or small, this distorts the average
Outliers 
Median: 
Polarized Data
Mode: 
No mode

14. 160
250
260
235 80 95
100
340 70 85
290
Median:
160 90
150
210
300
390 30

15. Test Scores
0, 0, 0, 0, 0, 99 70
50, 20
100, 100, 100, 100, 100 30 50 70
100 10

16. Does this represent the class performance well?
Example C: Mr. Petritz asks Mr. Jordan how his first period did on this test. Mr. Jordan decided to use the mode. Please find the mode.
0, 0, 5, 5, 10, 10, 15, 15, 20, 20, 25, 25, 90, 90, 90
Mode: 90
Does this represent the class performance well? 30 50 70
100 10

17. Problems Mean: Median: Mode: Outliers    
When one or two values are unusually large or small, this distorts the average
Outliers 
Median: 
Polarized Data
Mode: 
No mode 
When the popular value isn’t a good representative

18. Yesterday: Lesson 6.6 84 74 80 92 96 84 68 72 50 84 52 44 40 76 87 82 74 90 66 52 78 84 80 88 84 76 84 58 22 54 58 58 82 72 90 78 70 88 88 69 66 58 72 60 68 86 57 68 82 54 46 56 72 61 34 48 58 74 38 64 86 87 86 67 58 63 54 86 82 74 72 76 82 75 62 88 90 50 68 75
Mean: 70
Median:
22, 34, 38, 40, 44, 46, 48, 50, 50, 52, 52, 54, 54, 54, 56, 57, 58, 58, 58, 58, 58, 58, 60, 61, 62, 63, 64, 66, 66, 67, 68, 68, 68, 68, 69, 70, 72, 72, 72, 72, 72, 74, 74, 74, 74, 75, 75, 76, 76, 76, 78, 78, 79, 80, 80, 82, 82, 82, 82, 82, 84, 84, 84, 84, 84, 84, 86, 86, 86, 86, 87, 87, 88, 88, 88, 88, 90, 90, 92, 96
Mode:
58, 84

19. p. 404