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:

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.

...CentralTendency and Measures of Variation
Task 1:
1.1 a.) Define Population: Population is a complete group or collection of items or people selected to be used for a statistical study
b.) Define Sample: Sample is a partial selection or part of the population for which the study uses for information gathering.
1.7 The Neilson study is an inferential study; the results contained on the study are not focused and generalized. The population is...

...Assignment on CentralTendency and Dispersion
1. A manufacturer of hand shovels is deciding what length handles to use. Studies of user preference reveal that the average, the median, mean and mode of preferred length are all different. What are the implications of using each of these values? Which value would you decide?
2. A given machine is assumed to depreciate 40 percent in value in the first year, 25 percent in value in the 2nd year and 10...

...
Subject: Math – Measures of CentralTendency
Grade: 6th
GLE Standard: Mathematics - Data and Probability. 2. Select and use appropriate statistical methods to analyze data. A. Describe and analyze data - find the range and measures of center, including median, mode, and mean.
Materials:
- Bag of mixed candy, or something comparable the...

...1 Measures of CentralTendency
“Measures of centraltendency (averages) are statistical constants which enable us to figure out in a single effort the significance of the whole.” (Prof Bowley)
The main objectives of measure of centraltendency are
To reduce data in a single value.
To make easy comparisons between data.
There are different types of averages;...

...Module on Measures of
CentralTendencyMeasures of CentralTendency
There are many ways of describing of a
given set of data. A good number of descriptive
measures exist in statistics whose use depends
largely on the nature of data and the intended
purpose of the description. This measure is the
measures of position or centraltendency, it...

...Measures of CentralTendency
1. What Do You Mean by Mean?
a) The mean of the salaries is calculated by adding up each individual salary and dividing it by the seven employees. The mean of the seven salaries is $43,814.29. The mean compares to the individual salaries because it shows the average of all the salaries together. The employees would use the average to negotiate with Dick for a higher salary, because by looking at the average you can...

...Measures of CentralTendency
Objectives of the chapter
• To use summary statistics to describe collections of
data
• The main goal is to come up with the one single
number that best describes a distribution of scores.
• Lets us know if the distribution of scores tends to be
composed of high scores or low scores.
• To use the mean, median and mode to describe how
data bunch up.
The sales of 100 fast food shop is
given below:
Sales
No. of
(in 000s)...

...3.1 Measures of CentralTendency (Page 1 of 16)
3.1 Measures of CentralTendency
Mean, Median and Mode
a.
mean, x =
Example 1
b.
! x = sum of the entries
n
number of entries
Find the mean of
26, 18, 12, 31, 42
The median is the middle value of an ordered set of data. If
there is an even number of data values, then the median is the
mean of the two middle values.
Example 2
Find the median of
25, 30,...

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