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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Module on 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
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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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3.1 Measures of Central Tendency (Page 1 of 16) 3.1 Measures of Central Tendency 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‚ 37‚ 21‚ 38 Example 3 Find the median of 3‚ 7‚ 9‚ 4‚ 8‚ 2‚ 6‚ 5 c. The mode is the
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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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1 Measures of Central Tendency “Measures of central tendency (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 central tendency are To reduce data in a single value. To make easy comparisons between data. There are different types of averages; each has its own business applications. 1. Arithmetic Mean 2. Median 3. Mode 4. Geometric Mean 5. Harmonic Mean 1.1 Arithmetic
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Subject: Math – Measures of Central Tendency 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 students can sort and count - Whiteboard/blackboard - Computer and display ability - Legal sized paper or construction paper Objectives/Learning Targets:
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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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