WP.2.1: MEAN & MODE PROBLEMS
[WP.2.1]
WHITE PAPER TOPIC: MEAN & MODE PROBLEMS
I. ADDITIONAL EXERCISES – POPULATION & SAMPLE MEANS
Use the following equations to solve for the arithmetic mean:
Formula for Population Mean
Formula for sample mean.
[Note: Summation of Mean Deviations Property of the Mean]
[Mechanics] Problem 1:
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For this set of Population Data: |
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20 |
|
|
40 |
|
|
50 |
|
|
60 |
|
|
80 |
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[Mechanics] Problem 2:
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For this set of Population Data: |
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|
36 |
|
|
42 |
|
|
12 |
|
|
10 |
|
|
20 |
|
[Mechanics] Problem 3:
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For this set of Population Data: |
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3.25 |
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4.25 |
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6.75 |
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5.5 |
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[Mechanics] Problem 4:
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For this set of Population Data: |
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-4 |
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0 |
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2 |
|
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-8 |
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|
10 |
|
[Mechanics] Problem 5:
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For this set of Population Data: |
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|
16 |
|
|
20 |
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|
-3 |
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|
6 |
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[Mechanics] Problem 6:
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For this set of Sample Data: |
|
|
20 |
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|
40 |
|
|
50 |
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|
60 |
|
|
80 |
|
[Mechanics] Problem 7:
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For this set of Sample Data: |
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0 |
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-4 |
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2 |
|
|
8 |
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|
17 |
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[Mechanics] Problem 8:
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For this set of Sample Data: |
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4.5 |
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3.2 |
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1.2 |
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1.1 |
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2.4 |
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[Mechanics] Problem 9:
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For this set of Sample Data: |
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|
8 |
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6 |
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|
4 |
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|
3 |
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[Mechanics] Problem 10:
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For this set of Sample Data: |
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1.35 |
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2.5 |
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1.75 |
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3.6 |
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II. ADDITIONAL EXERCISES – THE MODE
11. What is the modal value for the following set of data?
|
41 |
15 |
39 |
54 |
15 |
31 |
12. What is the modal value for the following set of data?
|
15 |
35 |
15 |
56 |
15 |
56 |
|
15 |
42 |
65 |
27 |
45 |
15 |
13. What is the modal value for the following set of data?
|
27 |
13 |
27 |
15 |
15 |
15 |
|
65 |
27 |
23 |
31 |
44 |
67 |
14. What is the modal value for the following set of data?
|
27 |
15 |
78 |
23 |
12 |
45 |
15. What is the modal value for the following set of data?
|
15 |
15 |
27 |
27 |
55 |
55 |
SOLUTIONS:
1. 50
2. 24
3. 4.9375
4. 0
5. 9.75
6. 50
7. 4.6
8. 2.48
9. 5.25
10. 2.3
11. 15
12. 15
13. 15 & 27
14. No Clear Mode
15. No Clear Mode