A) Find the Range, Variance, and Standard Deviation of Each Data Set

Name______Problem Set #4

Date______Statistics

1) SAT scores Sample SAT scores for eight males and eight females are listed.

Male SAT Scores 105 132 1175 112 923 1017 121 1042

9 8 3 4

Female SAT Scores 122 965 841 105 105 1393 131 1222

6 3 6 2 a) Find the range, variance, and standard deviation of each data set.

b) Interpret the results in the context of the real-life setting. 2) Football Wins The number of wins for each National Football League team in 2006 are listed.

Make a frequency distribution (using five classes) for the data set. Then approximate the

population mean and the population standard deviation of the data set.

12 10 7 6 13 8 8 4 12 8 8 6

14 9 9 2 10 9 8 5 13 8 6 3

10 8 7 4 9 8 7 5 st nd rd 3) Find the 1 , 2 , and 3 quartiles for the set of data. Then construct a box-and-whisker plot.

Vacation Days The number of vacation days used by a sample of 20 employees in a recent year.

3 9 2 1 7 5 3 2 2 6

4 0 10 0 3 5 7 8 6 5 4) On a statistics test, the mean is 63 and the standard deviation is 7.0, and for a biology test the

mean is 23 and the standard deviation is 3.9. For each of the following questions you are given the

test scores of a student who took both tests.

Transform each test score to a z-score, and then determine on which test the student had a better

score.

a) A student gets a 73 on the statistics test and a 26 on the biology test. b) A student gets a 60 on the statistics test and a 20 on the biology test.