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Descriptive Statistics

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In a study of job satisfaction, a series of tests were administered to 50 participants. The following data were obtained; higher scores represent greater dissatisfaction:

Use the data of this question to calculate the following:
1. Frequency dist.
2. Relative frequency dist.
3. Cumulative frequency dist.
4. Histogram
5. Mean
6. Median Quartiles 1 & 3
7. Mode
8. Variance
9. Standard deviation
10- Z-score

Data are as follows:
87 76 67 58 92 59 41 50 90 75 80 81 70 73 69 61 88
46 85 97 50 47 81 87 75 60 65 92 77 71 70 74 53 43
61 89 84 83 70 46 84 76 78 64 69 76 78 67 74 64

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Solution Preview

In a study of job satisfaction, a series of tests were administered to 50 participants. The following data were obtained; higher scores represent greater dissatisfaction:

Use the data of this question to calculate the following:

1. Frequency dist.
Frequency Distribution

Job Satisfaction cumulative
lower upper midpoint width frequency percent frequency percent
40 < 50 45 10 5 10.0 5 10.0
50 < 60 55 10 5 10.0 10 20.0
60 < 70 65 10 10 20.0 20 40.0
70 < 80 75 10 15 30.0 35 70.0
80 < 90 85 10 11 22.0 46 92.0
90 < 100 95 10 4 8.0 50 100.0

50 100.0
2. Relative frequency dist.
Frequency Distribution

...

Solution Summary

The solution provides step by step method for the calculation of descriptive statistics . Formula for the calculation and Interpretations of the results are also included.

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