Question

1Shape of the distribution:

At the U.S. Open Tennis Championship a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed of a particular player was 103 miles per hour, and that the serve speed distribution was skewed to the left. Which of the following values is most likely the value of the median serve speed?

Select one:

103 mph

112 mph

94 mph

100 mph

2The distribution of salaries of professional basketball players is skewed to the right. Which of the following would be the best measure to determine the location of the center of the distribution?

median

mean

mode

range

3 During one recent year, U.S. consumers redeemed 6.48 billion manufacturers' coupons and saved themselves $2.41 billion. Calculate and interpret the mean savings per coupon.

Select one:

The average savings was $0.37 per coupon.

Half of all coupons were worth more than $0.37 in savings.

The average savings was 268.9 cents per coupon.

Half of all coupons were worth more than 268.9 cents in savings.

Answer 1

Answer)

1)

If the data is left skewed then the mean is less than the median

Only value which is more than the mean is 112

So median is 112

2)

In skewed data

Best central of tendency is median