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Find the mean absolute deviation of the data set below. Round the answer to the nearest tenth if necessary. 2.5,6.5,9,19,20,2.5

Find the mean absolute deviation of the data set below. Round the answer to the nearest tenth if necessary.\newline2.5,6.5,9,19,20,2.5 2.5,6.5,9,19,20,2.5

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Full solution

Q. Find the mean absolute deviation of the data set below. Round the answer to the nearest tenth if necessary.\newline2.5,6.5,9,19,20,2.5 2.5,6.5,9,19,20,2.5
  1. Find Mean: Find the mean of the data set.\newlineMean = 2.5+6.5+9+19+20+2.56 \frac{2.5 + 6.5 + 9 + 19 + 20 + 2.5}{6} \newlineMean = 59.56 \frac{59.5}{6} \newlineMean = 99.99
  2. Calculate Deviations: Calculate the absolute deviations from the mean. \newline∣2.5−9.9∣=7.4|2.5 - 9.9| = 7.4 \newline∣6.5−9.9∣=3.4|6.5 - 9.9| = 3.4 \newline∣9−9.9∣=0.9|9 - 9.9| = 0.9 \newline∣19−9.9∣=9.1|19 - 9.9| = 9.1 \newline∣20−9.9∣=10.1|20 - 9.9| = 10.1 \newline∣2.5−9.9∣=7.4|2.5 - 9.9| = 7.4
  3. Find Mean Absolute Deviation: Find the mean of the absolute deviations. Mean Absolute Deviation = 7.4+3.4+0.9+9.1+10.1+7.46 \frac{7.4 + 3.4 + 0.9 + 9.1 + 10.1 + 7.4}{6} Mean Absolute Deviation = 38.36 \frac{38.3}{6} Mean Absolute Deviation = 6.4 6.4

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