The prices, in millions of US dollars, of some expensive cars are given below. For example, 9.5 means $9.5 millions. Complete the following parts. You may simply provide the answers without showing any steps for Parts A–F. Answer the questions clearly in parts H and I. 3.2, 2.7, 5.8, 3.3, 2.4, 1.4, 3, 4.8, 2, 2.7, 2.2, 4.5, 2.5, 3.4, 1.15, 3.6, 8, 2.5, 2.8, 13, 1.9 A. Find the mean. Round to three decimal places. B. Find the standard deviation. Round to three decimal places. (Hint: Think whether the data set is a sample or a population.) C. Find mode.
The prices, in millions of US dollars, of some expensive cars are given below. For example, 9.5 means $9.5 millions. Complete the following parts. You may simply provide the answers without showing any steps for Parts A–F. Answer the questions clearly in parts H and I.
3.2, 2.7, 5.8, 3.3, 2.4, 1.4, 3, 4.8, 2, 2.7, 2.2, 4.5, 2.5, 3.4, 1.15, 3.6, 8, 2.5, 2.8, 13, 1.9
A. Find the mean. Round to three decimal places.
B. Find the standard deviation. Round to three decimal places. (Hint: Think whether the data set is a sample or a population.)
C. Find mode.
D. Determine the location and value for ?1. State the location of ?1 clearly:
Value of ?1 =
E. Determine the location and value for ?2. State the location of ?2 clearly:
Value of ?2 =
G. Construct a boxplot. Use appropriate scale and label the axis. Provide an appropriate title to the plot. Provide a unit if necessary.
H. Based on the boxplot, does the distribution appear to be symmetric, left skewed, or right skewed? Explain clearly.
I. Remove the largest two values from the data set and re-determine the values of the mean (round to three decimal places), median, and mode. Compare these values with the values found in Parts a – c. How are the measures of the central tendencies affected by removing the largest two values from the data set? Were the effects what you expected? Explain clearly.
Mean =
Median =
Mode =
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