Suppose That My 3 Siblings and I Are the Following

question 3

Essay

Suppose that my 3 siblings and I are the following heights, in inches.
72 69 77 66
a. Calculate and report the range of this distribution.
b. Calculate and report the variance of this distribution.
c. Tell me how you calculated this.
d. Calculate and report the standard deviation of this distribution.
e. Write a sentence or two in which you tell me, using your own words, what a standard deviation is (in general, not this particular standard deviation).
f. Wrap words around the mean and standard deviation of this distribution. What do they tell you about the distribution of scores?
g. Pretend that this distribution of scores represents a sample rather than a population. Calculate and report the standard deviation.
h. Explain why the standard deviation you reported for question 1d differs from the standard deviation you reported for question 1g.
i. Suppose that in the population of birds that live in the trees on a university campus, the average number of feathers is 1000 with a standard deviation of 200. Wrap words around that standard deviation. What does it tell you, exactly?

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Definitions:

Scratch-and-Save

A promotional discount method where customers scratch a card to reveal a discount or prize.

Profit

The financial gain realized when the revenue generated from a business activity exceeds the expenses, costs, and taxes involved in sustaining the activity.

Rate of Markdown

The percentage decrease from the original price to the sale price.

Operating Expenses

Costs associated with the day-to-day operations of a business or organization.