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Solve the following questions
Q1
- Construct a cumulative frequency distribution of the 20 brainvolumes(cm3) listed below.
Use the classes 900-999, 1000-1099,and so on. (6-classes)
1005Â Â 963 1035 1027 12811272 1051 1079 1034 1070 1173 1079 1067 1104 1347 1439 1029 11001204 1160.Also find relative frequency for each class interval?
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Q2
- Use data above in question 1 to build the frequency polygon. Isthe distribution symmetric?
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Q3
- Find the mean, mode, median, variance, Standard Deviation, andrange of the following data:
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Q4
- Find the mean and the Variance of the following sampledata:
          Â
x | Frequency (f) |
1 | 5 |
2 | 6 |
4 | 9 |
8 | 6 |
12 | 4 |
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Q5
- Two dice with six faces are rolled, find the sample space andnumber of elements in the sample space. Also calculate theprobability that the sum of the two faces is equal 6.
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Q6
- Use the Prison and Plea data in following table to calculatepart a and b :
| Guilty Plea | Plea of not Guilty |
Sentenced to Prison | 392 | 58 |
Not Sentenced to Prison | 564 | 14 |
- If someone from the 1028 subjects is randomly selected, findthe probability of selecting someone sentenced to prison.
- If someone from the 1028 subjects is randomly selected, findthe probability of selecting someone sentenced to prison andentered a Guilty Plea.
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