Measures of Central Tendency.ppt
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The document discusses three common measures of central tendency: the mean, median, and mode. The mean is the average of all scores. The median is the middle value when scores are arranged from lowest to highest. The mode is the score that occurs most frequently. Examples are provided to demonstrate how to calculate each measure using a sample data set.
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The most common measures of central tendency are the arithmetic mean, the median, and the mode. A middle tendency can be calculated for either a finite set of values or for a theoretical distribution, such as the normal distribution. Occasionally authors use central tendency to denote "the tendency of quantitative data to cluster around some central value."[2][3]
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UNIT III -Measures of Central Tendency 2.ppt
This document discusses three common measures of central tendency: the mode, median, and mean. The mode is the most frequently occurring value, while the median is the middle value when scores are arranged from lowest to highest. The mean is the average value, calculated by summing all scores and dividing by the total number of scores. Each measure is best suited for certain types of data distributions and scales.
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The mean deviation is a measure of how spread out values are from the average. It is calculated by:
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- 1. 1 Measures of Central Tendency Marietta A. Paje Subject Teacher
- 2. 2 Measures of Central Tendency A measure of central tendency is a descriptive statistic that describes the average, or typical value of a set of scores There are three common measures of central tendency: the mean the median the mode
- 3. 3 The Mean The mean is: the arithmetic average of all the scores (X)/N The mean of a population is represented by the Greek letter ; the mean of a sample is represented by X
- 4. 4 Calculating the Mean Calculate the mean of the following data: 37 37 24 28 43 44 36 41 33 27 Mean = 37+37+24+28+43+44+36+41+33+27 10 Mean = X = 35
- 5. 5 The Median The median is simply another name for the middle value
- 6. 6 How To Calculate the Median Conceptually, it is easy to calculate the median Arrange the data from lowest to highest Find the score in the middle middle = (N + 1) / 2 If N, the number of scores, is even the median is the average of the middle two scores
- 7. 7 Median Example What is the median of the following scores: 37 37 24 28 43 44 36 41 33 27 Sort the scores: 24 27 28 33 36 37 37 41 43 44 Determine the middle score: middle = (36 + 37) / 2 = 36.5 Middle score = median = 36.5
- 8. 8 The Mode The mode is the score that occurs most frequently in a set of data
- 9. 9 Bimodal Distributions When a distribution has two “modes,” it is called bimodal
- 10. 10 Multimodal Distributions If a distribution has more than 2 “modes,” it is called multimodal
- 11. 11 Mode Example Arrange the data from lowest to highest: 24 27 28 33 36 37 37 41 43 44 Find the mode: Mode = 37