Question

Find the 20% trimmed mean of the following data. If necessary, round to one more decimal place than the largest number of decimal places given in the data. Rate of Fatal Alcohol Impaired Car Crashes per 100 Million Vehicle Miles of Travel 0.30 0.31 0.32 0.38 0.40 0.43 0.43 0.45 0.50 0.50 0.53 0.55 0.55 0.56 0.56 0.59 0.59 0.67 0.68 0.78

Answer 1

Answer:

0.501

Step-by-step explanation:

To find the 20% trimmed mean, exclude the top and bottom 10% of the data set and calculate the mean using the remaining values. Since this data set has 20 values, the bottom two (0.30 and 0.31) and the top two (0.68 and 0.78) should be removed. The trimmed mean is:

$M=\frac{0.32+0.38+0.40+0.43+0.43+0.45+0.50+0.50+0.53+0.55+0.55+0.56+0.56+0.59+0.59+0.67}{16}\\M=0.501$

The 20% trimmed mean is 0.501.