# 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:

GENDERAGEDEPTPOSITIONTENUREOVERALLINTRINSICEXTRINSIC

123211.62.674

133131.85.335.5

123113.45.332

1332145.56

1132145.336.5

123234.43.336

123214.45.676

123114.66.173

123114.84.336

1331156.177

123135.456

133115.45.676.5

132116.24.834

133116.256

13322756

12311777

1232176.836

222112.211

233132.44.336

223222.662

223233.236

212223.667

211223.856

223234.45.57

222124.654

223124.64.176.5

223114.85.56

222214.86.335

222115.45.674

222235.665

222115.84.175

2111166.676

Measures of Central Tendency:

4.56mean

4.6median

4.4, 4.6mode note: software did not identify 4.8,5.4,7

Measures of Dispersion:

6range

2.137variance

1.462standard deviation

1.129mean deviation

Discussion: Microsoft Excel software was used for all calculations.

The arithmetic mean (average) was calculated to be 4.56. It is understood that this measure of central tendency is affected by extreme scores.

The median (middle value) for this even numbered sample of 32 is 4.6. This value suggests that the mean is being affected by scores indicating some degree of dissatisfaction.

The distribution of the data in...

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