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Descriptive Statistics: Homework is part of the collection col10555 written by Barbara Illowsky and Susan Dean and provides homework questions related to lessons about descriptive statistics.

Twenty-five randomly selected students were asked the number of movies they watched the previous week. The results are as follows:

# of movies Frequency Relative Frequency Cumulative Relative Frequency
0 5
1 9
2 6
3 4
4 1

  • Find the sample mean x
  • Find the sample standard deviation, s
  • Construct a histogram of the data.
  • Complete the columns of the chart.
  • Find the first quartile.
  • Find the median.
  • Find the third quartile.
  • Construct a box plot of the data.
  • What percent of the students saw fewer than three movies?
  • Find the 40th percentile.
  • Find the 90th percentile.
  • Construct a line graph of the data.
  • Construct a stem plot of the data.
  • 1.48
  • 1.12
  • 1
  • 1
  • 2
  • A box plot with a whisker between 0 and 1, a dotted line at 1, a solid line at 2, and a whisker between 2 and 4.
  • 80%
  • 1
  • 3

The median age for U.S. blacks currently is 30.9 years; for U.S. whites it is 42.3 years. (( Source: http://www.usatoday.com/news/nation/story/2012-05-17/minority-births-census/55029100/1) )

  • Based upon this information, give two reasons why the black median age could be lower than the white median age.
  • Does the lower median age for blacks necessarily mean that blacks die younger than whites? Why or why not?
  • How might it be possible for blacks and whites to die at approximately the same age, but for the median age for whites to be higher?

Forty randomly selected students were asked the number of pairs of sneakers they owned. Let X = the number of pairs of sneakers owned. The results are as follows:

X Frequency Relative Frequency Cumulative Relative Frequency
1 2
2 5
3 8
4 12
5 12
7 1
  • Find the sample mean x
  • Find the sample standard deviation, s
  • Construct a histogram of the data.
  • Complete the columns of the chart.
  • Find the first quartile.
  • Find the median.
  • Find the third quartile.
  • Construct a box plot of the data.
  • What percent of the students owned at least five pairs?
  • Find the 40th percentile.
  • Find the 90th percentile.
  • Construct a line graph of the data
  • Construct a stem plot of the data
  • 3.78
  • 1.29
  • 3
  • 4
  • 5
  • A box plot with a whisker between 0 and 3, a solid line at 3, a dashed line at 4, a solid line at 5, and a whisker between 5 and 7.
  • 32.5%
  • 4
  • 5

600 adult Americans were asked by telephone poll, What do you think constitutes a middle-class income?The results are below. Also, include left endpoint, but not the right endpoint. ( Source: Time magazine; survey by Yankelovich Partners, Inc. )

"Not sure" answers were omitted from the results.
Salary ($) Relative Frequency
<20,000 0.02
20,000 - 25,000 0.09
25,000 - 30,000 0.19
30,000 - 40,000 0.26
40,000 - 50,000 0.18
50,000 - 75,000 0.17
75,000 - 99,999 0.02
100,000+ 0.01
  • What percent of the survey answered "not sure"?
  • What percent think that middle-class is from $25,000 - $50,000 ?
  • Construct a histogram of the data
    1. Should all bars have the same width, based on the data? Why or why not?
    2. How should the<20,000 and the100,000+ intervals be handled? Why?
  • Find the 40th and 80th percentiles
  • Construct a bar graph of the data

Following are the published weights (in pounds) of all of the team members of the San Francisco 49ers from a previous year ( Source: San Jose Mercury News )

  • 177
  • 205
  • 210
  • 210
  • 232
  • 205
  • 185
  • 185
  • 178
  • 210
  • 206
  • 212
  • 184
  • 174
  • 185
  • 242
  • 188
  • 212
  • 215
  • 247
  • 241
  • 223
  • 220
  • 260
  • 245
  • 259
  • 278
  • 270
  • 280
  • 295
  • 275
  • 285
  • 290
  • 272
  • 273
  • 280
  • 285
  • 286
  • 200
  • 215
  • 185
  • 230
  • 250
  • 241
  • 190
  • 260
  • 250
  • 302
  • 265
  • 290
  • 276
  • 228
  • 265

  • Organize the data from smallest to largest value.
  • Find the median.
  • Find the first quartile.
  • Find the third quartile.
  • Construct a box plot of the data.
  • The middle 50% of the weights are from _______ to _______.
  • If our population were all professional football players, would the above data be a sample of weights or the population of weights? Why?
  • If our population were the San Francisco 49ers, would the above data be a sample of weights or the population of weights? Why?
  • Assume the population was the San Francisco 49ers. Find:
    • the population mean, μ .
    • the population standard deviation, σ .
    • the weight that is 2 standard deviations below the mean.
    • When Steve Young, quarterback, played football, he weighed 205 pounds. How many standard deviations above or below the mean was he?
  • That same year, the mean weight for the Dallas Cowboys was 240.08 pounds with a standard deviation of 44.38 pounds. Emmit Smith weighed in at 209 pounds. With respect to his team, who was lighter, Smith or Young? How did you determine your answer?
  • 241
  • 205.5
  • 272.5
  • A box plot with a whisker between 174 and 205.5, a solid line at 205.5, a dashed line at 241, a solid line at 272.5, and a whisker between 272.5 and 302.
  • 205.5, 272.5
  • sample
  • population
    • 236.34
    • 37.50
    • 161.34
    • 0.84 std. dev. below the mean
  • Young

Questions & Answers

Three charges q_{1}=+3\mu C, q_{2}=+6\mu C and q_{3}=+8\mu C are located at (2,0)m (0,0)m and (0,3) coordinates respectively. Find the magnitude and direction acted upon q_{2} by the two other charges.Draw the correct graphical illustration of the problem above showing the direction of all forces.
Kate Reply
To solve this problem, we need to first find the net force acting on charge q_{2}. The magnitude of the force exerted by q_{1} on q_{2} is given by F=\frac{kq_{1}q_{2}}{r^{2}} where k is the Coulomb constant, q_{1} and q_{2} are the charges of the particles, and r is the distance between them.
Muhammed
What is the direction and net electric force on q_{1}= 5µC located at (0,4)r due to charges q_{2}=7mu located at (0,0)m and q_{3}=3\mu C located at (4,0)m?
Kate Reply
what is the change in momentum of a body?
Eunice Reply
what is a capacitor?
Raymond Reply
Capacitor is a separation of opposite charges using an insulator of very small dimension between them. Capacitor is used for allowing an AC (alternating current) to pass while a DC (direct current) is blocked.
Gautam
A motor travelling at 72km/m on sighting a stop sign applying the breaks such that under constant deaccelerate in the meters of 50 metres what is the magnitude of the accelerate
Maria Reply
please solve
Sharon
8m/s²
Aishat
What is Thermodynamics
Muordit
velocity can be 72 km/h in question. 72 km/h=20 m/s, v^2=2.a.x , 20^2=2.a.50, a=4 m/s^2.
Mehmet
A boat travels due east at a speed of 40meter per seconds across a river flowing due south at 30meter per seconds. what is the resultant speed of the boat
Saheed Reply
50 m/s due south east
Someone
which has a higher temperature, 1cup of boiling water or 1teapot of boiling water which can transfer more heat 1cup of boiling water or 1 teapot of boiling water explain your . answer
Ramon Reply
I believe temperature being an intensive property does not change for any amount of boiling water whereas heat being an extensive property changes with amount/size of the system.
Someone
Scratch that
Someone
temperature for any amount of water to boil at ntp is 100⁰C (it is a state function and and intensive property) and it depends both will give same amount of heat because the surface available for heat transfer is greater in case of the kettle as well as the heat stored in it but if you talk.....
Someone
about the amount of heat stored in the system then in that case since the mass of water in the kettle is greater so more energy is required to raise the temperature b/c more molecules of water are present in the kettle
Someone
definitely of physics
Haryormhidey Reply
how many start and codon
Esrael Reply
what is field
Felix Reply
physics, biology and chemistry this is my Field
ALIYU
field is a region of space under the influence of some physical properties
Collete
what is ogarnic chemistry
WISDOM Reply
determine the slope giving that 3y+ 2x-14=0
WISDOM
Another formula for Acceleration
Belty Reply
a=v/t. a=f/m a
IHUMA
innocent
Adah
pratica A on solution of hydro chloric acid,B is a solution containing 0.5000 mole ofsodium chlorid per dm³,put A in the burret and titrate 20.00 or 25.00cm³ portion of B using melting orange as the indicator. record the deside of your burret tabulate the burret reading and calculate the average volume of acid used?
Nassze Reply
how do lnternal energy measures
Esrael
Two bodies attract each other electrically. Do they both have to be charged? Answer the same question if the bodies repel one another.
JALLAH Reply
No. According to Isac Newtons law. this two bodies maybe you and the wall beside you. Attracting depends on the mass och each body and distance between them.
Dlovan
Are you really asking if two bodies have to be charged to be influenced by Coulombs Law?
Robert
like charges repel while unlike charges atttact
Raymond
What is specific heat capacity
Destiny Reply
Specific heat capacity is a measure of the amount of energy required to raise the temperature of a substance by one degree Celsius (or Kelvin). It is measured in Joules per kilogram per degree Celsius (J/kg°C).
AI-Robot
specific heat capacity is the amount of energy needed to raise the temperature of a substance by one degree Celsius or kelvin
ROKEEB
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Source:  OpenStax, Collaborative statistics using spreadsheets. OpenStax CNX. Jan 05, 2016 Download for free at http://legacy.cnx.org/content/col11521/1.23
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