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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

can someone help me with some logarithmic and exponential equations.
Jeffrey Reply
sure. what is your question?
ninjadapaul
20/(×-6^2)
Salomon
okay, so you have 6 raised to the power of 2. what is that part of your answer
ninjadapaul
I don't understand what the A with approx sign and the boxed x mean
ninjadapaul
it think it's written 20/(X-6)^2 so it's 20 divided by X-6 squared
Salomon
I'm not sure why it wrote it the other way
Salomon
I got X =-6
Salomon
ok. so take the square root of both sides, now you have plus or minus the square root of 20= x-6
ninjadapaul
oops. ignore that.
ninjadapaul
so you not have an equal sign anywhere in the original equation?
ninjadapaul
Commplementary angles
Idrissa Reply
hello
Sherica
im all ears I need to learn
Sherica
right! what he said ⤴⤴⤴
Tamia
what is a good calculator for all algebra; would a Casio fx 260 work with all algebra equations? please name the cheapest, thanks.
Kevin Reply
a perfect square v²+2v+_
Dearan Reply
kkk nice
Abdirahman Reply
algebra 2 Inequalities:If equation 2 = 0 it is an open set?
Kim Reply
or infinite solutions?
Kim
The answer is neither. The function, 2 = 0 cannot exist. Hence, the function is undefined.
Al
y=10×
Embra Reply
if |A| not equal to 0 and order of A is n prove that adj (adj A = |A|
Nancy Reply
rolling four fair dice and getting an even number an all four dice
ramon Reply
Kristine 2*2*2=8
Bridget Reply
Differences Between Laspeyres and Paasche Indices
Emedobi Reply
No. 7x -4y is simplified from 4x + (3y + 3x) -7y
Mary Reply
is it 3×y ?
Joan Reply
J, combine like terms 7x-4y
Bridget Reply
im not good at math so would this help me
Rachael Reply
yes
Asali
I'm not good at math so would you help me
Samantha
what is the problem that i will help you to self with?
Asali
how do you translate this in Algebraic Expressions
linda Reply
Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=
Crystal Reply
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?
Chris Reply
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
China
Cied
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
Porter
many many of nanotubes
Porter
what is the k.e before it land
Yasmin
what is the function of carbon nanotubes?
Cesar
what is nanomaterials​ and their applications of sensors.
Ramkumar Reply
what is nano technology
Sravani Reply
what is system testing?
AMJAD
preparation of nanomaterial
Victor Reply
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
Himanshu Reply
good afternoon madam
AMJAD
what is system testing
AMJAD
what is the application of nanotechnology?
Stotaw
In this morden time nanotechnology used in many field . 1-Electronics-manufacturad IC ,RAM,MRAM,solar panel etc 2-Helth and Medical-Nanomedicine,Drug Dilivery for cancer treatment etc 3- Atomobile -MEMS, Coating on car etc. and may other field for details you can check at Google
Azam
anybody can imagine what will be happen after 100 years from now in nano tech world
Prasenjit
after 100 year this will be not nanotechnology maybe this technology name will be change . maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments
Azam
name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world
Prasenjit
how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?
Damian
silver nanoparticles could handle the job?
Damian
not now but maybe in future only AgNP maybe any other nanomaterials
Azam
can nanotechnology change the direction of the face of the world
Prasenjit Reply
At high concentrations (>0.01 M), the relation between absorptivity coefficient and absorbance is no longer linear. This is due to the electrostatic interactions between the quantum dots in close proximity. If the concentration of the solution is high, another effect that is seen is the scattering of light from the large number of quantum dots. This assumption only works at low concentrations of the analyte. Presence of stray light.
Ali Reply
the Beer law works very well for dilute solutions but fails for very high concentrations. why?
bamidele Reply
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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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
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