In this sample, there are
five players whose heights fall within the interval 59.95–61.95 inches,
three players whose heights fall within the interval 61.95–63.95 inches,
15 players whose heights fall within the interval 63.95–65.95 inches,
40 players whose heights fall within the interval 65.95–67.95 inches,
17 players whose heights fall within the interval 67.95–69.95 inches,
12 players whose heights fall within the interval 69.95–71.95,
seven players whose heights fall within the interval 71.95–73.95, and
one player whose heights fall within the interval 73.95–75.95. All heights fall between the endpoints of an interval and not at the endpoints.
From
[link] , find the percentage of heights that are less than 65.95 inches.
If you look at the first, second, and third rows, the heights are all less than 65.95 inches. There are 5 + 3 + 15 = 23 players whose heights are less than 65.95 inches. The percentage of heights less than 65.95 inches is then
$\frac{23}{100}$ or 23%. This percentage is the cumulative relative frequency entry in the third row.
Try it
[link] shows the amount, in inches, of annual rainfall in a sample of towns.
Rainfall (Inches)
Frequency
Relative Frequency
Cumulative Relative Frequency
2.95–4.97
6
$\frac{6}{50}$ = 0.12
0.12
4.97–6.99
7
$\frac{7}{50}$ = 0.14
0.12 + 0.14 = 0.26
6.99–9.01
15
$\frac{15}{50}$ = 0.30
0.26 + 0.30 = 0.56
9.01–11.03
8
$\frac{8}{50}$ = 0.16
0.56 + 0.16 = 0.72
11.03–13.05
9
$\frac{9}{50}$ = 0.18
0.72 + 0.18 = 0.90
13.05–15.07
5
$\frac{5}{50}$ = 0.10
0.90 + 0.10 = 1.00
Total = 50
Total = 1.00
From
[link] , find the percentage of rainfall that is less than 9.01 inches.
Try it solutions
0.56 or 56%
From
[link] , find the percentage of heights that fall between 61.95 and 65.95 inches.
Add the relative frequencies in the second and third rows: 0.03 + 0.15 = 0.18 or 18%.
Try it
From
[link] , find the percentage of rainfall that is between 6.99 and 13.05 inches.
Try it solutions
0.30 + 0.16 + 0.18 = 0.64 or 64%
Use the heights of the 100 male semiprofessional soccer players in
[link] . Fill in the blanks and check your answers.
The percentage of heights that are from 67.95 to 71.95 inches is: ____.
The percentage of heights that are from 67.95 to 73.95 inches is: ____.
The percentage of heights that are more than 65.95 inches is: ____.
The number of players in the sample who are between 61.95 and 71.95 inches tall is: ____.
What kind of data are the heights?
Describe how you could gather this data (the heights) so that the data are characteristic of all male semiprofessional soccer players.
Remember, you
count frequencies . To find the relative frequency, divide the frequency by the total number of data values. To find the cumulative relative frequency, add all of the previous relative frequencies to the relative frequency for the current row.
29%
36%
77%
87
quantitative continuous
get rosters from each team and choose a simple random sample from each
Nineteen people were asked how many miles, to the nearest mile, they commute to work each day. The data are as follows:
Is the table correct? If it is not correct, what is wrong?
True or False: Three percent of the people surveyed commute three miles. If the statement is not correct, what should it be? If the table is incorrect, make the corrections.
What fraction of the people surveyed commute five or seven miles?
What fraction of the people surveyed commute 12 miles or more? Less than 12 miles? Between five and 13 miles (not including five and 13 miles)?
No. The frequency column sums to 18, not 19. Not all cumulative relative frequencies are correct.
False. The frequency for three miles should be one; for two miles (left out), two. The cumulative relative frequency column should read: 0.1052, 0.1579, 0.2105, 0.3684, 0.4737, 0.6316, 0.7368, 0.7895, 0.8421, 0.9474, 1.0000.
$\frac{5}{19}$
$\frac{7}{19}$ ,
$\frac{12}{19}$ ,
$\frac{7}{19}$
Questions & Answers
can someone help me with some logarithmic and exponential equations.
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
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.
Source:
OpenStax, Business statistics -- bsta 200 -- humber college -- version 2016reva -- draft 2016-04-04. OpenStax CNX. Apr 05, 2016 Download for free at http://legacy.cnx.org/content/col11969/1.5
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