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Wayne Merritt drives from Cleveland to Chicago frequently and has noticed that traffic and weather make a big difference in the time it takes to

Wayne Merritt drives from Cleveland to Chicago frequently and has noticed that traffic and weather make a big difference in the time it takes to make the trip. As a result, he has a hard time planning activities around his arrival time. To better plan his business, Wayne wants to calculate his average driving time as well as a measure of how much an actual trip is likely to vary from that average. To do that, he clocked 10 trips with the results in table.

Driving Time Number of trips
6 hrs, 0 min 1
6 hrs, 15 min 1
6 hrs, 25 min 2
6 hrs, 45 min 3
7 hrs, 11 min 1
7 hrs, 30 min 1
9 hrs, 20 min 1

  1. Calculate the mean, standard deviation, and coefficient of variation of Wayne's driving time to Chicago. (Hint: Treat the 10 trips as the 10 possible outcomes of a discrete probability distribution, each of which has a probability of 0.1.) Do not round intermediate calculations. Round the answers to two decimal places.
    Mean fill in the blank 1 minutes
    Standard deviation fill in the blank 2 minutes
    Coefficient of variation fill in the blank 3
  2. Calculate the average variation in driving time. Round the answer to two decimal places. (Hint: the average variation is calculated using the formula .) fill in the blank 4 minutes The average variation is

    significantly higher thansignificantly lower thanabout the same assignificantly lower than

    the standard deviation. An average deviation would probably be

    morelessmore

    meaningful to Wayne.

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