Sunday, August 29, 2010

Practice problems for homework 1

1) Here are the homicide numbers for Oakland, Richmond and San Francisco from earlier in this century.

Oakland: 96 homicides, 399,000 population
Richmond: 40 homicides, 99,000 population
San Francisco: 96 homicides, 775,000 population

Find the murder rates from these years, rounded to the nearest tenth per 100,000 population and rank them from lowest (1st) to highest (3rd).

2) Here is a list of numbers. It is the number of wins by teams in the American League at the end of the 2008 regular season.

97, 95, 89, 86, 68, 89, 88, 81, 75, 74, 100, 79, 75, 61


a) Make a stem and leaf plot for the data.
b) Find the five number summary
c) Find IQR and the high and low outlier thresholds
d) Is there any outlying data?
e) find the average, rounded to the nearest tenth.

Answers in the comments.

1 comment:

Prof. Hubbard said...

1) Here are the homicide numbers for Oakland, Richmond and San Francisco from earlier in this century.

Oakland: 96 homicides, 399,000 population
Richmond: 40 homicides, 99,000 population
San Francisco: 96 homicides, 775,000 population
Find the murder rates from these years, rounded to the nearest tenth per 100,000 population and rank them from lowest (1st) to highest (3rd).


Answers:
Oakland 24.1 per 100,000
Richmond 40.4 per 100,000
San Francisco: 12.4 per 100,000

S.F. is lowest, followed by Oakland and Richmond.


2) Here is a list of numbers. It is the number of wins by teams in the American League at the end of the 2008 regular season.

97, 95, 89, 86, 68, 89, 88, 81, 75, 74, 100, 79, 75, 61


a) Make a stem and leaf plot for the data.

10|0
_9|57
_8|16899
_7|4559
_6|18

b) Find the five number summary

High = 100
Q_3 = 89
Q_2 = 83.5
Q_1 = 75
Low = 61

c) Find IQR and the high and low outlier thresholds.

IQR = 89-75 = 14
High threshold = 89 + 1.5*14 = 110
Low threshold = 75 - 1.5*14 = 54

d) Is there any outlying data?

No.

e) find the average, rounded to the nearest tenth.

sum is 1157, and 1157/14 = 82.6