Math 403 Fall 2009
Homework 1
Due Wednesday, September 2
WMMY: Ch 1 # 1, 5, 11 (do by hand), 13, 18abc, 19*, 22*, 25, 27
Ch 2 # 5, 9, 15, 51, 53, 67, 73
* For #19, do parts a and c only, then describe the shape of the distribution
and discuss what that says about the failure of pumps.
* For #22, draw the location of mean and the spread of ±1 SD on your
histogram
Problem A:
i. Give a set of five numbers from 0-10 with larger mean than median.
i. Give a set of five numbers from 0-10 with smaller mean than median.
i. Give a set of five numbers from 0-10 with mean and median equal.
i. Give a set of six numbers from 0-10 with the largest possible variance.
Problem B: Histograms of four data sets are shown below. For each, describe the general
shape of the distribution, then estimate the median, the mean, and the
standard deviation.
I II
III IV