The student will compare empirical data and a theoretical distribution to determine if data from the experiment follow a continuous distribution.

Collect the data

Measure the length of your pinky finger (in centimeters).

Randomly survey 30 adults for their pinky finger lengths. Round the lengths to the nearest 0.5 cm.

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Construct a histogram. Make five to six intervals. Sketch the graph using a ruler and pencil. Scale the axes.

Calculate the following.

$\overline{x}$ = _______

s = _______

Draw a smooth curve through the top of the bars of the histogram. Write one to two complete sentences to describe the general shape of the curve. (Keep it simple. Does the graph go straight across, does it have a v-shape, does it have a hump in the middle or at either end, and so on?)

Analyze the distribution

Using your sample mean, sample standard deviation, and histogram, what was the approximate theoretical distribution of the data you collected?

X ~ _____(_____,_____)

How does the histogram help you arrive at the approximate distribution?

Describe the data

Using the data you collected complete the following statements. (Hint: order the data)

Remember

(
IQR =
Q_{3} –
Q_{1} )

IQR = _______

The 15
^{th} percentile is _______.

The 85
^{th} percentile is _______.

Median is _______.

What is the theoretical probability that a randomly chosen pinky length is more than 6.5 cm?

Explain the meaning of the 85
^{th} percentile of this data.

Theoretical distribution

Using the theoretical distribution, complete the following statements. Use a normal approximation based on the sample mean and standard deviation.

IQR = _______

The 15
^{th} percentile is _______.

The 85
^{th} percentile is _______.

Median is _______.

What is the theoretical probability that a randomly chosen pinky length is more than 6.5 cm?

Explain the meaning of the 85
^{th} percentile of this data.

Discussion questions

Do the data you collected give a close approximation to the theoretical distribution? In complete sentences and comparing the results in the sections titled
Describe the Data and
Theoretical Distribution , explain why or why not.

Questions & Answers

anyone know any internet site where one can find nanotechnology papers?

fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.

Tarell

what is the actual application of fullerenes nowadays?

Damian

That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.

Tarell

what is the Synthesis, properties,and applications of carbon nano chemistry

Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.

Harper

Do you know which machine is used to that process?