Question

In Exercises 5-20, find the range, variance, and standard deviation for the given sample data. Include appropriate units (such as "minutes") in your results. (The same data were used in Section 3-2 where we found measures of center. Here we find measures of variation.) Then answer the given questions. NCAA Football Coach Salaries Listed below are the annual salaries for a simple random sample of NCAA football coaches (based on data from USA Today). How does the standard deviation change if the highest salary is omitted? $150,000 $300,000 $350,147 $232,425 $360,000 $1,231,421 $810,000 $229,000

Answer 1

Ans: data Notes $150,000 $300, 000, $3S0, 14, August '18 Mon 6 13 20 27 Tue 7 14 21 28 360 000,,231, 421 232, 42 Wed 1 15 22 29 Thu 16 23 30 229,00D 8l0 000 Fri 10 17 24 31 / Sat 4 11 18 25 Sun 5 12 19 26

teuer . 8- large.number numbes 1/281, 42 1 large number-Snall mumber Range an 1,231 42) 190000 ..... 21 1,0 Range 081,42) The mean +2-29000 t0000E t0000xl 3662993 57/*HEBŁSH 457874 125 Knouw trat We Vafantey (15D +t229000-45989 12 000-57879125) Notes: September '18 10 17 24 Mon 966. 32668-88 4 11 18 25 Tue 12 19 26 Wed 13 20 27 6 Thu $120809 5833 9.86 28 14 21 7 Fri 15 22 29 Sat 1 8 23 30 16 Sun 2 9 m

Ostandard devlatin, larance 8 339: 86 120 809 Now consider highest salasy F the data becoma the then Omittal is 250 149, 23262S, 300,00 o'as1 360,000 8t0,000, 5229/000 fothi data Mean Now cmiiday ita Naiianej o 03737698e6 816 Standaid deviaton Vaiance CLO333 698 86. 816 Sunday 02 Notes: 200932 252
it is observed that the standard deviation decreases.