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Normal distribution (pinkie length)

Class Time:


    Student learning outcomes

  • 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).

  1. Randomly survey 30 adults for their pinky finger lengths. Round the lengths to the nearest 0.5 cm.
    _______ _______ _______ _______ _______
    _______ _______ _______ _______ _______
    _______ _______ _______ _______ _______
    _______ _______ _______ _______ _______
    _______ _______ _______ _______ _______
    _______ _______ _______ _______ _______
  2. Construct a histogram. Make five to six intervals. Sketch the graph using a ruler and pencil. Scale the axes.
    Blank graph with frequency on the vertical axis and length of finger on the horizontal axis.
  3. Calculate the following.
    1. x ¯ = _______
    2. s = _______
  4. 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)


( 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?
Damian Reply
Introduction about quantum dots in nanotechnology
Praveena Reply
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
Damian Reply
absolutely yes
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Akash Reply
it is a goid question and i want to know the answer as well
characteristics of micro business
for teaching engĺish at school how nano technology help us
Do somebody tell me a best nano engineering book for beginners?
s. Reply
there is no specific books for beginners but there is book called principle of nanotechnology
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
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.
what is the actual application of fullerenes nowadays?
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.
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
is Bucky paper clear?
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
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.
Do you know which machine is used to that process?
how to fabricate graphene ink ?
for screen printed electrodes ?
What is lattice structure?
s. Reply
of graphene you mean?
or in general
in general
Graphene has a hexagonal structure
On having this app for quite a bit time, Haven't realised there's a chat room in it.
what is biological synthesis of nanoparticles
Sanket Reply
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
many many of nanotubes
what is the k.e before it land
what is the function of carbon nanotubes?
I'm interested in nanotube
what is nanomaterials​ and their applications of sensors.
Ramkumar Reply
how did you get the value of 2000N.What calculations are needed to arrive at it
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Source:  OpenStax, Introductory statistics fall 2014. OpenStax CNX. Jun 30, 2014 Download for free at http://legacy.cnx.org/content/col11669/1.1
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