Homework 7

Note: do all the work by hand

Consider the following dataset:

0.5 1.2 3.5 2.9 3.1 3.7 1.2 2.0 2.0 3.1

1.9 2.5 9.1 2.3 4.1 3.6 3.0 0.2 4.0 2.6

2.1 2.8 2.5 3.9 1.2 2.7 2.4 3.1 2.6 1.7

Problem 1 Find the mean, median and standard deviation

Problem 2 Find the 5-number summary and draw the boxplot.

Problem 3 Find the 10^th and the 90^th percentile of the data

Problem 4 (Does not use the dataset above)
In an exam with 475 students the mean score is 65.6 with a standard deviation of 12.8. What does the empirical rule tell us then?

0.5	1.2	3.5	2.9	3.1	3.7	1.2	2.0	2.0	3.1
1.9	2.5	9.1	2.3	4.1	3.6	3.0	0.2	4.0	2.6
2.1	2.8	2.5	3.9	1.2	2.7	2.4	3.1	2.6	1.7

0.5	1.2	3.5	2.9	3.1	3.7	1.2	2.0	2.0	3.1
1.9	2.5	9.1	2.3	4.1	3.6	3.0	0.2	4.0	2.6
2.1	2.8	2.5	3.9	1.2	2.7	2.4	3.1	2.6	1.7

0.5	1.2	3.5	2.9	3.1	3.7	1.2	2.0	2.0	3.1
1.9	2.5	9.1	2.3	4.1	3.6	3.0	0.2	4.0	2.6
2.1	2.8	2.5	3.9	1.2	2.7	2.4	3.1	2.6	1.7