Identify Potential Outliers. 1. The weekly salaries (in dollars) of sisteen gove

Question

Identify Potential Outliers. 1. The weekly salaries (in dollars) of sisteen governmentworkers are listed below. 690 564 813 642 728 538 463 593 493 669 685 359 526 787 487 986 2. Office workers were asked how long it took them to travelto work one morning. Here is the stem-and-leaf display 2 0 0 0 2 3 4 4 5 7 8 3 0 2 5 7 4 1 2 7 8 9 5 0 2 8 6 0 5 Without actually finding the mean and the median, would youexpect the mean to be higher or lower than the median? Identify Potential Outliers. 1. The weekly salaries (in dollars) of sisteen governmentworkers are listed below. 690 564 813 642 728 538 463 593 493 669 685 359 526 787 487 986 2. Office workers were asked how long it took them to travelto work one morning. Here is the stem-and-leaf display 2 0 0 0 2 3 4 4 5 7 8 3 0 2 5 7 4 1 2 7 8 9 5 0 2 8 6 0 5 Without actually finding the mean and the median, would youexpect the mean to be higher or lower than the median?

Explanation / Answer

1. Mean = 626.43 Std. Dev = 156.65 986 is more than 2 std deviations away from the mean. According to chauvenet's criterian, since 0.05*12 = 0.6, thiscould be considered an outlier
2. You should notice that this data is skewed right. For datathat is distributed like this (skewed right), the mean is higherthan the median.

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