An annual marathon covers a route that has a distance of approximately 26 miles.

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 periods of 20 years each. Earlier Period 15 18 24 21 16 15 10 14 20 19 15 248 12 17 18 8 12 13 10 Recent Period 128 8 779 7 1289 9 10 7 139 998 138 (a) Make a stem-and-leaf display for the minutes over 2 hours of the winning times for the earlier period. Use two lines per stem. (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. (C) Compare the two distributions. How many times under 15 minutes are in each distribution?

Explanation / Answer

Solution:-

a) Eaelier period : 15,18,24,21,16,15,10,14,20,19,15,24,8,12,17,18,8,12,13,10

Stem and leaf:

  

b) Recent period : 12,8,8,7,7,9,7,12,8,9,9,10,7,13,9,9,9,8,13,8

c) Under 15 minutes are in each distribution:-

Earlier period : 8

Recent period : 20

=> compare the two distribution :  Earlier period < (less than) Recent period

Stem leaf 0 - - - 0 8 8 1 0 0 2 2 3 4 1 5 5 5 6 7 8 8 9 2 0 1 4 4 2 - - - -

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