Copyright 2001 N Ahbel Mean Average Sigma Notation

Copyright © 2001, N. Ahbel Notice these are always the same! is read “the

Copyright © 2001, N. Ahbel is read “the sum of the x-sub-i’s as i goes from 1 to 5”. It represents the sum of the set of x-values from x 1 to x 5. Consider a set of x-values x 1=14, x 2=16, x 3=15, x 4=18, x 5=17

Copyright © 2001, N. Ahbel is read “the sum of the x-sub-i’s as i goes from 1 to 5”. It represents the sum of the set of x-values from x 1 to x 5. Consider a set of x-values x 1=14, x 2=16, x 3=15, x 4=18, x 5=17 = x 1+x 2+x 3+x 4+x 5 = 14+16+15+18+17 = 80

Copyright © 2001, N. Ahbel It is convenient to use sigma notation to define

Donovan Bailey Leroy Burrell Carl Lewis Frank Fredericks Linford Christie Ato Boldon Maurice Green Dennis Mitchell Andre Cason Tim Montgomery 9. 84 sec 9. 85 sec 9. 86 sec 9. 87 sec 9. 89 sec 9. 90 sec 9. 91 sec 9. 92 sec Source: Planet 101, Ten Fastest 100 Meter Times, http: //www. planet 101. com/trak. htm, 9/1/04 Copyright © 2001, N. Ahbel It is convenient to use sigma notation to define the mean of a set of data. The 10 fastest recorded 100 meter times ever run are:

Donovan Bailey Leroy Burrell Carl Lewis Frank Fredericks Linford Christie Ato Boldon Maurice Green Dennis Mitchell Andre Cason Tim Montgomery 9. 84 sec 9. 85 sec 9. 86 sec 9. 87 sec 9. 89 sec 9. 90 sec 9. 91 sec 9. 92 sec Source: Planet 101, Ten Fastest 100 Meter Times, http: //www. planet 101. com/trak. htm, 9/1/04 These times can be expressed as t 1=9. 84, t 2=9. 85, t 3=9. 86, t 4=9. 86, t 5=9. 87 t 6=9. 89, t 7=9. 90, t 8=9. 91, t 9=9. 92, t 10=9. 92. Copyright © 2001, N. Ahbel It is convenient to use sigma notation to define the mean of a set of data. The 10 fastest recorded 100 meter times ever run are:

Donovan Bailey Leroy Burrell Carl Lewis Frank Fredericks Linford Christie Ato Boldon Maurice Green Dennis Mitchell Andre Cason Tim Montgomery 9. 84 sec 9. 85 sec 9. 86 sec 9. 87 sec 9. 89 sec 9. 90 sec 9. 91 sec 9. 92 sec Source: Planet 101, Ten Fastest 100 Meter Times, http: //www. planet 101. com/trak. htm, 9/1/04 These times can be expressed as t 1=9. 84, t 2=9. 85, t 3=9. 86, t 4=9. 86, t 5=9. 87 t 6=9. 89, t 7=9. 90, t 8=9. 91, t 9=9. 92, t 10=9. 92. The mean of these times is: Copyright © 2001, N. Ahbel It is convenient to use sigma notation to define the mean of a set of data. The 10 fastest recorded 100 meter times ever run are:

Donovan Bailey Leroy Burrell Carl Lewis Frank Fredericks Linford Christie Ato Boldon Maurice Green Dennis Mitchell Andre Cason Tim Montgomery 9. 84 sec 9. 85 sec 9. 86 sec 9. 87 sec 9. 89 sec 9. 90 sec 9. 91 sec 9. 92 sec Source: Planet 101, Ten Fastest 100 Meter Times, http: //www. planet 101. com/trak. htm, 9/1/04 So, the mean of these times is: These times can be expressed as t 1=9. 84, t 2=9. 85, t 3=9. 86, t 4=9. 86, t 5=9. 87 t 6=9. 89, t 7=9. 90, t 8=9. 91, t 9=9. 92, t 10=9. 92. The mean of these times is: Copyright © 2001, N. Ahbel It is convenient to use sigma notation to define the mean of a set of data. The 10 fastest recorded 100 meter times ever run are:

Source: Athens 2004, Men’s 100 Meter Final, http: //www. athens 2004. com/en/Athletics. Men/results? rsc=ATM 001101&frag=ATM 001101_C 73 A , 9/1/04 For a description of the effect of head and tail winds, read: Source: J. R. Mureika USC, What really are the best 100 m performances? , http: //myweb. lmu. edu/jmureika/track/windadj. html , 9/1/04 Copyright © 2001, N. Ahbel The results for the 2004 Olympics are given below.