1. Because the mean is very sensitive to extreme values, it is not a resistant m
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Question
1. Because the mean is very sensitive to extreme values, it is not a resistant measure of center. The trimmed mean is more resistant. To find the 10% trimmed mean for a data set, first arrange the data in order, then delete the bottom 10% of the values and the top 10 % of the values, then calculate the mean of the remaining values. For the following credit-rating scores find (a) the mean (b) the 10% trimmed mean, and (c) the 20% trimmed mean. How do the results compare? 707 715 778 812 799 797 708 686 609 694 833 768 335 662 560 743 790 699 748 How do the results compare? A. The distribution of the data may be skewed to the right because the mean appears to decrease slightly as values are trimmed. B. There is zero skew in the distribution of the data because the three means are almost exactly equal. C. T he distribution of the data may be skewed to the left because the mean appears to increase slightly as values are trimmed. the blood pressure of theExplanation / Answer
The 10% trimmed mean is the mean computed by excluding the 10% largest and10% smallest values from the sample and taking the arithmetic mean of the remaining 80% of. the sample.
The 20% trimmed mean is the mean computed by excluding the 20% largest and 20% smallest values from the sample and taking the arithmetic mean of the remaining 60% of. the sample
C. distribution may be skeweed to left as mean appears to increase slightly as values are trimmed
Data: sorted data 10% highest and lowest trimmed 20% highest and lowest trimmed 707 335 560 609 715 560 609 662 778 609 662 686 812 662 686 694 799 686 694 699 797 694 699 707 708 699 707 708 686 707 708 715 771 708 715 743 609 715 743 748 694 743 748 768 833 748 768 771 768 768 771 778 335 771 778 790 662 778 790 797 560 790 797 799 743 797 799 790 799 812 699 812 748 833 sum 14214 13046 11674 sum/n =14214/20 =13046/18 =11674/16 sum/n 710.7 724.7777778 729.625Related Questions
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