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Measures of Central Tendency

Measures of Central Tendency. Mean, Median, Mode. Vocabulary. Measures of center – types of averages for a data set Mean Median Mode. Which Measure of Center is Best?. Mean – when the data set has no very high or low numbers

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Measures of Central Tendency

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  1. Measures of Central Tendency Mean, Median, Mode

  2. Vocabulary • Measures of center – types of averages for a data set • Mean • Median • Mode

  3. Which Measure of Center is Best? • Mean – when the data set has no very high or low numbers • Median – when the data set has some high or low numbers and most of the data in the middle are close in value • Mode – when the data set has many identical numbers

  4. Things to Know • Which measure of central tendency is always found in the data set itself? • Median • Mean • Mode • All of the above

  5. Example 1 CLIMATE The average annual number of days of precipitation for selected cities in the Southwest is shown in the table below. Which measure of central tendency best describes the data?

  6. Your Turn WEIGHT The weights (in pounds) of nine sixth-grade boys are shown below. Which measure of central tendency best describes the data?

  7. Example 2 Your Turn Find the mean, median, and mode(s) of the data. Choose the measure that best represents the data. 126 62 144 81 144 103 • Which measure best describes the data: • 23 • 22 • 15 • 36 • 44

  8. Example 3 Your Turn Find the mean, median, and mode(s) of the data. Choose the measure that best represents the data. 12 13 40 95 88 7 95 • Which measure best describe the cost of the CDs? • $12 • $14 • $18 • $10 • $14 • $12 • $12 • $12

  9. Example 4 Your Turn Find the mean, median, and mode(s) of the data. Choose the measure that best represents the data. 48 12 11 45 48 48 43 32 • Find the mean, median, and mode(s) of the data. Choose the measure that best represents the data. • 2 • 8 • 10 • 12 • 56 • 9 • 5 • 2 • 4

  10. Example 5 Your Turn Which situation would require finding the median as an appropriate center of measure? The temperatures recorded were either 20 degrees or 25 degrees All of the temperatures recorded were all between 80 degrees and 90 degrees A few of the temperatures recorded were very low or very high All of the temperatures recorded were 55degrees • Which measure of center would be used to show what pet most students had?

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