Question

An annual marathon covers a route that has a distance of approximately 26 miles. Winning times for this marathon are all over 2 hours. The following data are the minutes over 2 hours for the winning male runners over two perlods of 20 years each Larlier Period 14 14 7 13 17 13 13 18 12 19 12 16 10 22 23 0 8 15 23 17 Recent Period 9 9 9797 11 10 78 14 10 89 11 79 98 8 (a) Make a sterm-and-leaf display for the minutes over 2 hours of the winning times for the earlier period. Use two lines per stem. (Use the tens digit as the stem and the ones digit as the leaf. Enter NONE In any unused answer blanks. For more detalls, view How to Split a Stem.) Minules Beyond 2 Hours Earlier Period (b) Make a stem-and-leaf display for the minutes over 2 hours of the winning times for the recent period. Use two lines per stem. (Use the tens digit as the stem and the ones digit as the leaf. Enter NONE In any unused answer blanks.) Minules Beyond 2 Hours Recent Period (c)Compare the two distributions. How many times under 15 minutes are in each distribution? earller period recent period times times

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Solution:

a) The stem and leaf plot is given below:

Minutes beyond 2 minutes Earlier Period C) 07 8 10 22 3 3 3 4 4 15 677 89 20 23 3 2

b) The stem and leaf plot is given below:

Minutes beyond 2 minutes Recent Period C) 0777 78 8 8 8999999 9 100114 1 2 2

c) Compare the two distributions. How many times under 15 minutes are in each distribution?

Answer: earlier period 10 times

recent period 20 times

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