Sampling and Measures of Central Tendency and Dispersion Essay

904 Words Nov 12th, 2006 4 Pages
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
…show more content…
Therefore, the use of Microsoft Excel software alone would have lead to an erroneous description of the distribution of sample scores. Unfortunately, the Empirical Rule cannot be applied to this multi-modal distribution of scores.

The highest OJS score within the sample was seven and the lowest was one. Therefore, the range for this sample is six. The range suggests disparate degrees of job satisfaction ranging from Completely Satisfied (7) to Completely Dissatisfied (1).

The variance is 2.137 and represents the squared deviations from the mean. Since the deviations are squared, they cannot be readily compared to the mean.

The standard deviation (square root of the variance) is 1.462 and represents the same units as the mean. Therefore, the standard deviation can be compared directly to the mean. It is known that the larger the standard deviation, the more heterogeneous the sample. Since the standard deviation for this sample is relatively small, this suggests a rather homogenous group of OJS scores. .

By "Gender", the measures of central tendency and dispersion were calculated and shown below:

Male Female mode 7 4.6 median 4.8 4.6 mean 4.835294 4.253333 var 2.626176 1.53981 stdev 1.620548 1.240891 mean dev 1.23737 1.029333

Summary: These data suggest that the

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