Definitions Definitions 1 Mode the value that occurs

Definitions 1. Mode - the value that occurs most frequently 2. Find the Mode

Definitions 3. Median - The central value of an ordered distribution a. Order the

Definitions Find the Median a. 18, 19, 27, 28 i. Answer: 19 b. 18,

Definitions For an ordered data set of size n, Position of the middle value

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Definitions 4. Mean =(Sum of all entries)/Number of entries a. Find the mean: 58,

Definitions 5. Summation Symbol Σ a. Σx= Sum of all given x values 6.

Definitions 7. - (pronounced “mew”) a. Used to represent the mean when the data

Definitions 8. Resistant measure - one that is not influenced by extremely high or

Definitions 9. Trimmed Mean - The mean of the data values left after “trimming”

Definitions 9. Trimmed Mean - How to Calculate a. Order data from smallest to

Definitions 9. Trimmed Mean 14 20 20 23 25 30 30 30 35 35

Definitions 8. Weighted average a. Weighted Average = Σxw/Σw i. Where x is a

Example 1. Assume Tests are worth 50% of your grade, Quizzes 20 %, and

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Definitions

Definitions 1. Mode - the value that occurs most frequently 2. Find the Mode a. 5, 3, 7, 2, 4, 4, 2, 4, 8, 3, 4

Definitions 3. Median - The central value of an ordered distribution a. Order the data from smallest to largest b. For a distribution with an odd number of data values, Median = Middle data value c. For a distribution with an even number of data values, Median= (Sum of middle values)/2

Definitions Find the Median a. 18, 19, 27, 28 i. Answer: 19 b. 18, 19, 27, 28, 35 i. Answer: (19+27)/2 = 23

Definitions For an ordered data set of size n, Position of the middle value = (n+1)/2

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Definitions 4. Mean =(Sum of all entries)/Number of entries a. Find the mean: 58, 67, 60, 84, 93, 98, 100 i. Answer = (58 + 67 + 60 + 84 + 93 + 98 + 100)/7 ii. = 80

Definitions 5. Summation Symbol Σ a. Σx= Sum of all given x values 6. X - the mean of a sample distribution (Read “x bar”) a. X=Σx/n b. Where n = number of data values in the sample

Definitions 7. - (pronounced “mew”) a. Used to represent the mean when the data comprise the entire population b. = Σx/N i. Where N = number of data values in the population

Definitions 8. Resistant measure - one that is not influenced by extremely high or low data values a. Generally referred as a scale (more resistant, less resistant) b. Mode is a resistant measure c. Mean is not a resistant measure

Definitions 9. Trimmed Mean - The mean of the data values left after “trimming” a specified percentage of the smallest and largest data values from the data set. a. More resistant b. Usually 5% is used

Definitions 9. Trimmed Mean - How to Calculate a. Order data from smallest to largest b. Delete established percentage of data from the top and bottom. (Round percentages) c. Compute the mean of the remaining percentage

Definitions 9. Trimmed Mean 14 20 20 23 25 30 30 30 35 35 35 40 40 42 50 50 80 80

Definitions 8. Weighted average a. Weighted Average = Σxw/Σw i. Where x is a data value and w is the weight assigned to that data value. The sum is taken over all data values.

Example 1. Assume Tests are worth 50% of your grade, Quizzes 20 %, and daily work 30%. 2. If you received an average of 95% in tests, 88% in quizzes, and 100% in daily work, what is your final grade?

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