6.7Use Measures of Central Tendency Example 1 Compare measures of central tendency Temperature The daily February temperatures (in degrees Fahrenheit) for 10 days are listed for a certain city. Find the mean, median, and mode(s) of the data. Solution 20, 21, 22, 24, 25, 26, 27, 29, 37, 37

6.7Use Measures of Central Tendency Example 1 Compare measures of central tendency Temperature The daily February temperatures (in degrees Fahrenheit) for 10 days are listed for a certain city. Find the mean, median, and mode(s) of the data. Solution 20, 21, 22, 24, 25, 26, 27, 29, 37, 37 The median is the mean of the two middle values, ______. The mode is ______. The ______ and ________ best represent the data. mean median

6.7Use Measures of Central Tendency Checkpoint. Complete the following exercises. 1.Find (a) the mean, (b) the median, and (c) the mode(s) of the data set. 67, 70, 73, 73, 78, 80

6.7Use Measures of Central Tendency Example 2 Compare measures of dispersion Running The top 4 finishing times (in seconds) for two different teams in the 50 meter dash are given. Compare the spread of the data for the two sets using (a) the range and (b) the mean absolute deviation. Solution Team A: 5.8, 6.0, 6.2, 6.4 Team B: 5.7, 5.9, 6.5, 6.7 a.Team A: ____  _____ = _____ Team B: ____  _____ = _____ The range for Team ___ is greater than the range for Team ___, so the data for Team ___ cover a wider interval than the data for Team ___. B A B A

6.7Use Measures of Central Tendency Example 2 Compare measures of dispersion Running The top 4 finishing times (in seconds) for two different teams in the 50 meter dash are given. Compare the spread of the data for the two sets using (a) the range and (b) the mean absolute deviation. Solution Team A: 5.8, 6.0, 6.2, 6.4 Team B: 5.7, 5.9, 6.5, 6.7 b.The mean for Team A is ____, so the mean absolute deviation is: 6.1 The mean for Team B is ____, so the mean absolute deviation is: 6.2

6.7Use Measures of Central Tendency Example 2 Compare measures of dispersion Running The top 4 finishing times (in seconds) for two different teams in the 50 meter dash are given. Compare the spread of the data for the two sets using (a) the range and (b) the mean absolute deviation. Solution Team A: 5.8, 6.0, 6.2, 6.4 Team B: 5.7, 5.9, 6.5, 6.7 The mean absolute deviation of Team ___ is greater, so the average variation from the mean is greater for the data for Team ___ than for the data for Team ___. B BA

6.7Use Measures of Central Tendency Checkpoint. Complete the following exercises. 2.In Example 2, suppose the slowest time for Team B was 6.6 seconds. Recalculate the range and mean absolute deviation. Team B: 5.7, 5.9, 6.5, 6.6 Range: = 0.9 Mean absolute deviation: mean is 6.175

6.7Use Measures of Central Tendency Pg. 385, 6.7 #1-19