6.8Compare Statistics from Samples Example 1 Compare statistics from different samples Production The data set below give the number of computers assembled.

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Presentation transcript:

6.8Compare Statistics from Samples Example 1 Compare statistics from different samples Production The data set below give the number of computers assembled by each employee during one month in the East production division and the West production division. Compare the data using the mean, median, range, and interquartile range. East: 19, 18, 17, 16, 15, 13, 12, 10 West: 21, 20, 19, 18, 17, 16, 14, 9 EastWest

6.8Compare Statistics from Samples Example 1 Compare statistics from different samples Production The data set below give the number of computers assembled by each employee during one month in the East production division and the West production division. Compare the data using the mean, median, range, and interquartile range. East: 19, 18, 17, 16, 15, 13, 12, 10 West: 21, 20, 19, 18, 17, 16, 14, 9 EastWest Median:

6.8Compare Statistics from Samples Example 1 Compare statistics from different samples Production The data set below give the number of computers assembled by each employee during one month in the East production division and the West production division. Compare the data using the mean, median, range, and interquartile range. East: 19, 18, 17, 16, 15, 13, 12, 10 West: 21, 20, 19, 18, 17, 16, 14, 9 EastWest Range:

6.8Compare Statistics from Samples Example 1 Compare statistics from different samples Production The data set below give the number of computers assembled by each employee during one month in the East production division and the West production division. Compare the data using the mean, median, range, and interquartile range. East: 19, 18, 17, 16, 15, 13, 12, 10 West: 21, 20, 19, 18, 17, 16, 14, 9 EastWest Lower Quartile:

6.8Compare Statistics from Samples Example 1 Compare statistics from different samples Production The data set below give the number of computers assembled by each employee during one month in the East production division and the West production division. Compare the data using the mean, median, range, and interquartile range. East: 19, 18, 17, 16, 15, 13, 12, 10 West: 21, 20, 19, 18, 17, 16, 14, 9 EastWest Upper Quartile:

6.8Compare Statistics from Samples Example 1 Compare statistics from different samples Production The data set below give the number of computers assembled by each employee during one month in the East production division and the West production division. Compare the data using the mean, median, range, and interquartile range. East: 19, 18, 17, 16, 15, 13, 12, 10 West: 21, 20, 19, 18, 17, 16, 14, 9 EastWest Interquartile Range:

6.8Compare Statistics from Samples Example 1 Compare statistics from different samples Production The data set below give the number of computers assembled by each employee during one month in the East production division and the West production division. Compare the data using the mean, median, range, and interquartile range. East: 19, 18, 17, 16, 15, 13, 12, 10 West: 21, 20, 19, 18, 17, 16, 14, 9 The _______ mean is greater than the _______ mean, so the ______ averaged more computers assembled per person. West’s East’s West The East’s _______ is less than the West’s, so their data is less spread out. range

6.8Compare Statistics from Samples Example 1 Compare statistics from different samples Production The data set below give the number of computers assembled by each employee during one month in the East production division and the West production division. Compare the data using the mean, median, range, and interquartile range. East: 19, 18, 17, 16, 15, 13, 12, 10 West: 21, 20, 19, 18, 17, 16, 14, 9 The West’s ___________________ is _____ than the East’s, so the West’s middle 50% of the data showed _____ variation than the middle 50% of the East’s data. interquatile range less

6.8Compare Statistics from Samples Example 2 Compare sample and population statistics Production At the end of the month, summary production statistics are calculated for the entire company. The table below shows the summary data for the North and South divisions. Find the averages of the summary statistics from the four samples: the East and West divisions from Example 1, the North division and the South division. MeanMedianRangeInterquartile Range North South All

6.8Compare Statistics from Samples Example 2 Compare sample and population statistics MeanMedianRangeInterquartile Range North South All Average Mean: Solution

6.8Compare Statistics from Samples Example 2 Compare sample and population statistics MeanMedianRangeInterquartile Range North South All Average Median: Solution

6.8Compare Statistics from Samples Example 2 Compare sample and population statistics MeanMedianRangeInterquartile Range North South All Average Range: Solution

6.8Compare Statistics from Samples Example 2 Compare sample and population statistics MeanMedianRangeInterquartile Range North South All Average Interquartile Range: Solution

6.8Compare Statistics from Samples Example 2 Compare sample and population statistics MeanMedianRangeInterquartile Range North South All Solution The average mean and median are _____ than the corresponding population measures. The average range and interquartile range are _____ than the corresponding population measures. more less

6.8Compare Statistics from Samples Checkpoint. Complete the following exercises. 1.Compare the data using the mean, median, range, and interquartile range. Data set 1: 102, 105, 108, 110, 112, 113 Data set 2: 100, 103, 105, 106, 109, 113 MeanMedianRangeInterquartile Range Data set 1 Data set 2

6.8Compare Statistics from Samples Checkpoint. Complete the following exercises. 2.In Example 2, suppose the Northeast division had the following statistics. How does the inclusion of the Northeast division’s statistics change the averages in Example 2? MeanMedianRangeInterquartile Range Northeast Averages The average mean, median, and range are higher than the corresponding population measures. The average interquartile range is lower than the corresponding population measures.

6.8Compare Statistics from Samples Pg. 391, 6.8 #1-7