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EXAMPLE 1

1000 + 1000 + 1181 + 1191 + 1200 + 1268 + 1328 + 2584. 8. =. 10,752. =. x. 8. EXAMPLE 1. Compare measures of central tendency. The heights (in feet) of 8 waterfalls in the state of Washington are listed below. Which measure of central tendency best represents the data?.

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EXAMPLE 1

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  1. 1000 + 1000 + 1181 + 1191 + 1200 + 1268 + 1328 + 2584 8 = 10,752 = x 8 EXAMPLE 1 Compare measures of central tendency The heights (in feet) of 8 waterfalls in the state of Washington are listed below. Which measure of central tendency best represents the data? 1000, 1000, 1181, 1191, 1200, 1268, 1328, 2584 SOLUTION = 1344

  2. ANSWER The median best represents the data. The mode is significantly less than most of the data, and the mean is significantly greater than most of the data. EXAMPLE 1 Compare measures of central tendency The median is the mean of the two middle values,1191and1200, or1195.5. The mode is 1000.

  3. ANSWER Median; the median, 1191, is close to the data points. for Example 1 GUIDED PRACTICE 1. WHAT IF?In Example 1, suppose you eliminate the greatest data value, 2584. Which measure of central tendency best represents the remaining data? Explain your reasoning.

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