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Statistics Assumed you have had this in previous math classes…

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What are measures of central tendency? How do you tell measures of central tendency apart? What is standard deviation? How is it calculated?

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An intro to Statistics Statistics – numerical values used to summarize & compare sets of data (such as ERA in baseball). Measures of Central Tendency – mean, median, & mode are the 3 we will be using. Tells you what the “center” of the data is.

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Mean – ( x ) average of n numbers (add all #s & divide by n) Median – the middle # when the #s are written in order from least to greatest or greatest to least. If there are 2 middle numbers, the median will be the average of those 2. Mode – the number(s) that occur most frequently. It is possible to have more than 1 mode or even no mode.

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Ex: Find the mean, median, & mode of the following set of numbers: 36, 39, 40, 34, 48, 33, 25, 30, 37, 17, 42, 40, 24. Mean - 445 13 Median – Put the numbers in order first! 17, 24, 25, 30, 33, 34, 36, 37, 39, 40, 40, 42, 48 Mode – most frequent! 40 is the mode.

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Measures of Dispersion Measures of Dispersion – tell how spread out the data are. * Range – Difference between the largest and smallest values. (for example: the range of the last example would be 48-17=31) * Standard Deviation - (σ – “sigma”) x 1, x 2, x 3, …, x n are the entries in the data set. n is the number of entries in the set x is the mean

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is the mean Standard Deviation symbol - (σ – “sigma”) Standard deviation describes the typical difference (deviation) between the mean and a data value. “ A low standard deviation indicates that the data points tend to be very close to the mean; high standard deviation indicates that the data points are spread out over a large range of values.mean Standard deviation is commonly used to measure confidence in statistical conclusions.” http://en.wikipedia.org/wiki/Standard_deviation This is why you see standard deviation on test scores.

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Ex: Find the standard deviation of the data from the first example.

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What are measures of central tendency? Mean, medium and mode How do you tell measures of central tendency apart? Mean=average, median=middle, mode=appears most often What is standard deviation? How is it calculated? Standard deviation=typical difference between the mean and a data value.

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Assignment Worksheet 7.7

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