Tuesday, June 23, 2009

practice problems for homework 1

1. Find the frequencies and relative frequencies for the ethnicity variable. Round the relative frequencies by the +/- 0.1% rule.

2. Using just the men's heights, find the following statistics from the sample. Round non-integer answers to the nearest tenth.

n =
x-bar =
mode =
median =
maximum value =
minimum value =
mid-range =

Answer in the comments.

2 comments:

Anonymous said...

I did this problem using only the height of the men in our class. Although there are 20 male students, only 18 put down a height, so n=18.
x-bar=70.1
mode=71
Median=70
maximum value=78
minimum value=63
mid-rang=70.5

Prof. Hubbard said...

First answers incorrect in the second part. Thanks to the poster for catching the mistakes. Here are the correct answers.

1.
Frequencies

f(African) = 2
f(AfroAm) = 7
f(Asian) = 12
f(AsianAm) = 4
f(EuroAm) = 3
f(European) = 1
f(Hispanic) = 5
f(Other) = 4

Relative frequencies

p-hat(African) = 5.3%
p-hat(AfroAm) = 18.4%
p-hat(Asian) = 31.6%
p-hat(AsianAm) = 10.5%
p-hat(EuroAm) = 7.9%
p-hat(European) = 2.6%
p-hat(Hispanic) = 13.2%
p-hat(Other) = 10.5%

2. Men's heights put in order

78 77 76 72 72 71 71 71 70 70 69 69 68 68 66 66 65 63


n = 18
x-bar = 70.1
mode = 71
median = 70
maximum value = 78
minimum value = 63
mid-range = 70.5