Math 135 – Fall 2015
Take Home #1 – due: Tuesday 2/2/16
Name
You may receive help on this assignment from any source but should be able to show your understanding of the
solutions. No late assignments accepted. Show all work for credit. All statements should be written in full
sentences and work must be legible and neat. STAPLE WORK BEHIND THIS SHEET.
1)
The table below shows the average lifespan of 30 mammals. Go to the course Group in StatCrunch and
access the document: Animal Lifespan. Using this data:
a) Create a histogram using StatCrunch. Label all axes and title your graph. Print and attach your graph.
b) Describe the distribution including observations regarding shape (symmetry, mode, outliers), center (typical
value), and spread (variability). Your description should be with respect to the data.
c) Using StatCrunch, determine the mean and standard deviation of the distribution. Describe what these
numbers indicate with respect to the data.
d) Calculate the 5 number summary BY HAND (show work). Identify what each number means with respect to
the data.
e) Are there any outliers? Show your calculations using the 1.5(IQR) formula.
f) Which measure of center, mean or median would be more appropriate for this distribution? Explain your
answer.
Animal
Baboon
Bear
Beaver
Bison
Camel
Cat
Chimp
Cow
Deer
Dog
Elephant
Elk
Fox
Giraffe
Goat
Lifespan in years
Animal
Lifespan in years
12
25
5
15
12
12
20
15
8
12
35
16
7
10
8
Gorilla
Hippo
Horse
Human
Lion
Monkey
Moose
Pig
Rhino
Sea Lion
Sheep
Squirrel
Tiger
Wolf
Zebra
20
41
20
75
15
15
12
10
15
12
12
10
16
5
15
2)
A consumer agency is testing appliances for a series of articles in their magazine. Currently they are working
with ovens. Using a series of tests, the agency will estimate the lifetime of these models. A histogram of these
(estimated) lifetimes is shown below:
a) Approximately how many ovens lasted between 125 and 150 months?
___________________________
b) Approximately what proportion of ovens lasted longer than 200 months?
___________________________
c) Approximately what percent of ovens lasted less than 150 months?
___________________________
3)
Go to the course Group in StatCrunch and access the document: Survey Results - Statistics Spring 2016.
Create an appropriate graph using StatCrunch for the responses to the question: What did you have for
Breakfast this morning (column is labeled: Breakfast). Use frequencies in your graph and include the
frequencies for each choice. Label and title your graph. Then describe what the graph indicates (variability,
mode). Write all answers with respect to the data. Print and attach your graph.
4)
The number of text messages sent in a 24 hour time span of 5 students were given as:
20, 80, 100, 50
Compute by hand, the mean and standard deviation of the data. Show all work.