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Homework Assignment #1 – Chapters 1-3 Name: _______________________

Given the following set of numbers, complete problems 1-4:

44.4 56.5 63.7 65.6 75.1 82.6 89.8 91.5 102.9 108.1 110.1

1. Please find the mean. Show the formula you used and the substitutions you made.

2. Please find the median.

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3. Find the standard deviation.

Part A: In order to make this easier, I have set up columns so that I can see the values you

are using to substitute into this formula. Please enter the values for x x , and  2

x x ; then sum

those columns.

x x x   2

x x

44.4

56.5 63.7 65.6

75.1 82.6 89.8 91.5

102.9

108.1

110.1 Total

Part B: Then calculate the standard deviation. Please write the formula, your substitutions

into the formula and then your solution.

4. Find the coefficient of variance for these data.

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5. Given the following date set, construct a frequency table:

These data represent preening times in seconds of cardinals who frequent my bird feeder.

10 24 26 33 76 48 16 57 46 32

31 29 18 52 34 22 48 25 19 24

6. Are the following continuous or discrete?

a) Time I spend at the office in a day continuous discrete

b) Number of emails I receive in a day continuous discrete

c) Number of students taking my course continuous discrete

d) Amount I sleep in a night continuous discrete

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7. Suppose you had a chance to purchase a new lawn mower from one of two different sellers.

Here is some detail concerning the number of years of life for each mower. Which mower do you

think you would purchase and why? (There is really no right or wrong answer to this question;

however, you will need to justify your choice of one over the other.)

Lawn Mower form Seller #1 Lawn Mower from Seller #2

10.3x  10.4x 

s = 1.8 years s = 4.3 years