Because the mean is very sensitive to extreme values, it is not a resistant meas

Question

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? a. The mean is (Round to one decimal place as needed.) b. The 10% trimmed mean is (Round to one decimal place as needed.) c. The 20% trimmed mean is (Round to one decimal place as needed.) 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. The distribution of the data may be skewed to the left because the mean appears to increase slightly as values are trimmed. C. There is zero skew in the distribution of the data because the three means are almost exactly equal.

Explanation / Answer

From excel output,

a) Mean = 711.7

b) 10% Trimmed mean = 730.6

c) 20% Trimmed mean = 735.6

Option B is correct.

Related Questions

Navigate

• Browse (All)
• Browse B
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.