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Transparency 6

Transparency 6. Click the mouse button or press the Space Bar to display the answers. Splash Screen. Example 6-2c. Objective. Find the mean of a set of data. Example 6-2c. Vocabulary. Average. The sum of the data divided by the number of pieces of data Also called the “mean”.

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Transparency 6

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  1. Transparency 6 Click the mouse button or press the Space Bar to display the answers.

  2. Splash Screen

  3. Example 6-2c Objective Find the mean of a set of data

  4. Example 6-2c Vocabulary Average The sum of the data divided by the number of pieces of data Also called the “mean”

  5. Example 6-2c Vocabulary Measure of central tendency A number that helps describe all of the data in a data set Most common Mean Median Mode

  6. Example 6-2c Vocabulary Mean The sum of the data divided by the number of pieces of data Also called the “average”

  7. Example 6-2c Vocabulary Outlier A value much higher or lower than the other values 80, 81, 40, 77, 82 40 is the outlier

  8. Lesson 6 Contents Example 1Find Mean Example 2Determine How Outliers Affect Mean

  9. Example 6-1a READING The number of words per sentence on one page of a novel is shown in the table. Find the mean. Mean = sum of data pieces of data Add the data in each column Put sum of columns in equation 34 + 31 + 47 + 32 Mean = 16 Count the number of pieces of data and put in the denominator 1/2

  10. Example 6-1a Follow order of operations rules Mean = sum of data P E MD AS pieces of data Remember fraction bar is used as enclosures Mean = 34 + 47 + 31 + 32 16 Add the numerator Mean = 144 Bring down 16 16 Divide 144 by 16 Mean = 9 Answer: Mean = 9 words 1/2

  11. Example 6-1b PRACTICE The number of days per week that members of the middle school band practice their instrument is shown in the table. Find the mean. Answer: Mean = 5 days per week 1/2

  12. Example 6-2a BASKETBALLFind the mean with and without the outlier. Then describe how the outlier affects the mean. Determine the outlier Must find 2 means - with and without the outlier 2/2

  13. Example 6-2b mean with outlier 276 + 223 + 294 + 263 Mean = 12 Add the data in each column Put sum of columns in equation Count the number of pieces of data and put in the denominator 2/2

  14. Example 6-2b mean with outlier 276 + 223 + 294 + 263 Mean = 12 Follow order of operations rules P E MD AS Mean = 1056 12 Add the numerator Bring down 12 Mean = 88 Divide 1056 by 12 2/2

  15. Example 6-2b mean without outlier 294 + 276 + 179 + 263 Mean = 11 Add the data in each column Put sum of columns in equation Do not add the outlier of 44 Count the number of pieces of data and put in the denominator (remember don’t count the outlier) 2/2

  16. Example 6-2b mean without outlier 294 + 276 + 179 + 263 Mean = 11 Follow order of operations rules Mean = 1012 P E MD AS 11 Add the numerator Bring down 11 Mean = 92 Divide 1012 by 11 2/2

  17. Example 6-2b Describe how the outlier affects the mean Mean with outlier = 88 Mean without outlier = 92 The outlier was 44 which was lower than the other data so without the outlier the mean was higher than with the outlier Answer: The outlier lowered the mean by 4 points 2/2

  18. Example 6-2c * EXAM SCORES Find the mean with and without the outlier. Then describe how the outlier affects the mean. Answer: mean with outlier: 76.75; mean without outlier: 82.57; The outlier lowers the mean of the data by about six points. 2/2

  19. End of Lesson 6 Assignment

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