Sampling and Measures of Central Tendency and Dispersion

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Sampling and Measures of Central Tendency and Dispersion

Introduction: Overall Job Satisfaction (OJS) was the variable selected for this exercise because it lends itself to measures of central tendency and dispersion. The data are quantitative and continuous in nature.

Data Selected: The instructions for the exercise suggested a sample of approximately 30 individuals from one of eight variables. There were 288 measures of OJS. Every ninth individual was selected resulting in thirty-two (32) unique scores. The data was sorted by gender (17 males, 15 females) as shown in the following table:

1 2 3 2 1 1.6 2.67 4
1 3 3 1 3 1.8 5.33 5.5
1 2 3 1 1 3.4 5.33 2
1 3 3 2
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If the results were normally distributed and the satisfied employee scores mirrored the dissatisfied employee scores, the mean would be 3.5. This is further supported by the fact that the median score is greater than the mean. This suggests that some extreme scores on the "dissatisfied" side are lowering the mean (4.56) when compared with the median (4.6). Males are slightly more satisfied than females (4.8, 4.2).

Sullivan, Michael, Statistics: Informed Decisions Using Data, Pearson Hall, Pearson Education, Inc,
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