Reference no: EM132588344
Assignment - Statistics Questions
Q1. Determine mean, mode median and standard deviation for the set of data below.
(14,8,16,17,14,13,12,19,15,17,20)
Q2. 120 students pursuing a course in electrical engineering were examined and their results summarized below.
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Marks obtained
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20-29
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30-39
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40-49
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50-59
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60-69
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70-79
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80-89
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90-99
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Number of students
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7
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12
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14
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28
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25
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4
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12
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8
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a) Calculate
(i) Mean
(ii) Median
b) Using an assumed mean of 55 determine the:
(i) Mean mark
(ii) Standard deviation
(iii) mode
(iv) Pearson coefficient of skewness
Q3. An electrical engineering company employs part time technicians. The hours worked and the earning of such technicians are as shown below
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Hours (x)
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Earnings (y) £
|
|
18
|
144
|
|
30
|
225
|
|
35
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245
|
|
26
|
208
|
|
16
|
120
|
|
50
|
375
|
|
60
|
480
|
|
42
|
315
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i) Determine the correlation between the hours worked and the money earned by the technicians.
ii) Comment on the results obtained above.
iii) Determine the equation for the regression line of earning on hours worked.
iv) Estimate the total earning if 48 hours were worked for.
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