What is central tendency? Explain three important measures of central tendency? • Measures of central tendency are scores that represent the center of the distribution. Three of the most common measures of central tendency are: – • Mean Median Mode – – The Mean The mean is the arithmetic average of the scores. – Mean is the average of the scores in a distribution _ X = _________ i N Σ Xi Mean Example Exam Scores 75 91 82 78 72 94 68 88
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Introduction to Statistics (Measures of Central Tendency) Central Tendency: In a representative sample‚ the value of a series of data have a tendency to cluster around a certain point usually at the center of the series is usually called central tendency and its numerical measures are called the measures of central tendency or measures of location. Different Measures of Central Tendency: The following are the important measures of central tendency which are generally used in business:
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Measures of Central Tendency 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) Shops 700-799 4 800-899 7 900-999 8 1000-1099 10
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Measures of Central Tendency 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 see that Dick’s salary is an outlier compared to
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Week Five Discussion | This Discussion will give you the opportunity to calculate or identify the three measures of central tendency. You will be asked to select an appropriate real life situation in which one measure would be more appropriate than the other two measures of center. 1. Select a topic of interest to you and record the topic in your posting‚ for example: “What is the average number of hours people watch TV every week?” Make sure the question you ask will be answered with a number
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Answer the following problems showing your work and explaining (or analyzing) your results. 1. Describe the measures of central tendency. Under what condition(s) should each one be used? Mean- Works good when it comes to test scores Median- should be used when describing something like average income. Mode= is good is you want to see what is you best seeing product in a store situation. 2. Last year‚ 12 employees from a computer company retired. Their ages at retirement are listed below.First‚
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Measures of Central Tendency Measures of Central Tendency 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 central tendency‚ it is use to see how a large set of raw materials can be summarized so that the meaningful essential can be extracted from it. The most commonly measures of central tendency are
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Assignment on Central Tendency 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 percent in value in the next three years; each
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Central Tendency 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 not defined and therefore inferences are needed
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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
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