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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 pinkie finger (in cm.)

  1. Randomly survey 30 adults. Round to the nearest 0.5 cm.
    _______ _______ _______ _______ _______
    _______ _______ _______ _______ _______
    _______ _______ _______ _______ _______
    _______ _______ _______ _______ _______
    _______ _______ _______ _______ _______
    _______ _______ _______ _______ _______
  2. Construct a histogram. Make 5-6 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
    • x =
    • s =
  4. Draw a smooth curve through the top of the bars of the histogram. Use 1-2 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, etc.?)

Analyze the distribution

Using your sample mean, sample standard deviation, and histogram to help, what was the approximate theoretical distribution of the data from the section titled "Collect the Data"?

  • X ~
  • How does the histogram help you arrive at the approximate distribution?

Describe the data

Using the data in the section titled "Collect the Data" complete the following statements. (Hint: order the data)

( IQR = Q 3 - Q 1 )
  • IQR =
  • 15th percentile is:
  • 85th percentile is:
  • Median is:
  • What is the empirical probability that a randomly chosen pinkie length is more than 6.5 cm?
  • Explain the meaning the 85th percentile of this data.

Theoretical distribution

Using the Theoretical Distribution in the section titled "Analyze the Distribution"

  • IQR =
  • 15th percentile is:
  • 85th percentile is:
  • Median is:
  • What is the theoretical probability that a randomly chosen pinkie length is more than 6.5 cm?
  • Explain the meaning of the 85th percentile of this data.

Discussion questions

  • Do the data from the section entitled "Collect the Data" give a close approximation to the theoretical distribution in "Analyze the 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

Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
what school?
biomolecules are e building blocks of every organics and inorganic materials.
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
sciencedirect big data base
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
how to know photocatalytic properties of tio2 nanoparticles...what to do now
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
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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1 It is estimated that 30% of all drivers have some kind of medical aid in South Africa. What is the probability that in a sample of 10 drivers: 3.1.1 Exactly 4 will have a medical aid. (8) 3.1.2 At least 2 will have a medical aid. (8) 3.1.3 More than 9 will have a medical aid.
Nerisha Reply

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Source:  OpenStax, Collaborative statistics. OpenStax CNX. Jul 03, 2012 Download for free at http://cnx.org/content/col10522/1.40
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