<< Chapter < Page Chapter >> Page >

Refer to the following box plots.

Two box plots showing data between 0 and 7.  The Data 1 box plot shows Q1 at 2, M at 4, and Q3 at some unlabeled point greater than 4, while the Data 2 plot shows Q1 at an unlabeled point between 0 and 2, M at 2, and Q3 slightly greater than 2.
  • In complete sentences, explain why each statement is false.
    • Data 1 has more data values above 2 than Data 2 has above 2.
    • The data sets cannot have the same mode.
    • For Data 1 , there are more data values below 4 than there are above 4.
  • For which group, Data 1 or Data 2, is the value of “7” more likely to be an outlier? Explain why in complete sentences

In a recent issue of the IEEE Spectrum , 84 engineering conferences were announced. Four conferences lasted two days. Thirty-six lasted three days. Eighteen lasted four days. Nineteen lasted five days. Four lasted six days. One lasted seven days. One lasted eight days. One lasted nine days. Let X = the length (in days) of an engineering conference.

  • Organize the data in a chart.
  • Find the median, the first quartile, and the third quartile.
  • Find the 65th percentile.
  • Find the 10th percentile.
  • Construct a box plot of the data.
  • The middle 50% of the conferences last from _______ days to _______ days.
  • Calculate the sample mean of days of engineering conferences.
  • Calculate the sample standard deviation of days of engineering conferences.
  • Find the mode.
  • If you were planning an engineering conference, which would you choose as the length of the conference: mean; median; or mode? Explain why you made that choice.
  • Give two reasons why you think that 3 - 5 days seem to be popular lengths of engineering conferences.
  • 4,3,5
  • 4
  • 3
  • A box plot with a whisker between 2 and 3, a solid line at three, a dashed line at 4, a solid line at 5, and a whisker between 5 and 9.
  • 3,5
  • 3.94
  • 1.28
  • 3
  • mode

A survey of enrollment at 35 community colleges across the United States yielded the following figures ( source: Microsoft Bookshelf ):

  • 6414
  • 1550
  • 2109
  • 9350
  • 21828
  • 4300
  • 5944
  • 5722
  • 2825
  • 2044
  • 5481
  • 5200
  • 5853
  • 2750
  • 10012
  • 6357
  • 27000
  • 9414
  • 7681
  • 3200
  • 17500
  • 9200
  • 7380
  • 18314
  • 6557
  • 13713
  • 17768
  • 7493
  • 2771
  • 2861
  • 1263
  • 7285
  • 28165
  • 5080
  • 11622

  • Organize the data into a chart with five intervals of equal width. Label the two columns "Enrollment"and "Frequency."
  • Construct a histogram of the data.
  • If you were to build a new community college, which piece of information would be more valuable: the mode or the mean?
  • Calculate the sample mean.
  • Calculate the sample standard deviation.
  • A school with an enrollment of 8000 would be how many standard deviations away from the mean?

The median age of the U.S. population in 1980 was 30.0 years. In 1991, the median age was 33.1 years. ( Source: Bureau of the Census )

  • What does it mean for the median age to rise?
  • Give two reasons why the median age could rise.
  • For the median age to rise, is the actual number of children less in 1991 than it was in 1980? Why or why not?
  • Maybe

A survey was conducted of 130 purchasers of new BMW 3 series cars, 130 purchasers of new BMW 5 series cars, and 130 purchasers of new BMW 7 series cars. In it, people were asked the age they were when they purchased their car. The following box plots display the results.

Three box plots on a chart scaled from less than 25 to 80.  The BMW 3 series plot shows a minimum value under 25, Q1 around 30, M around 34, Q3 around 41, and a maximum value near 66.  The BMW 5 series plot shows a minimum value around 31, Q1 around 40, M around 41, Q3 around 55, and a maximum value around 64,  The BMW 7 series plot show a mimimum value around 35, Q1 around 41, M around 46, Q3 around 59, and a maximum value around 68.
  • In complete sentences, describe what the shape of each box plot implies about the distribution of the data collected for that car series.
  • Which group is most likely to have an outlier? Explain how you determined that.
  • Compare the three box plots. What do they imply about the age of purchasing a BMW from the series when compared to each other?
  • Look at the BMW 5 series. Which quarter has the smallest spread of data? What is that spread?
  • Look at the BMW 5 series. Which quarter has the largest spread of data? What is that spread?
  • Look at the BMW 5 series. Estimate the Inter Quartile Range (IQR).
  • Look at the BMW 5 series. Are there more data in the interval 31-38 or in the interval 45-55? How do you know this?
  • Look at the BMW 5 series. Which interval has the fewest data in it? How do you know this?
    • 31-35
    • 38-41
    • 41-64

Questions & Answers

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
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
what is nano technology
Sravani Reply
what is system testing?
Got questions? Join the online conversation and get instant answers!
QuizOver.com Reply

Get the best Algebra and trigonometry course in your pocket!

Source:  OpenStax, Collaborative statistics (custom online version modified by t. short). OpenStax CNX. Jul 15, 2013 Download for free at http://cnx.org/content/col11476/1.5
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'Collaborative statistics (custom online version modified by t. short)' conversation and receive update notifications?