Title ABC/123 Version X 1 Sampling Distributions Real Estate QNT/351 Version 5 1 University of Phoenix MaterialSampling Distributions – Real Estate Part 2Directions: Use the real estate data you used for your Week 2 learning team assignment. Analyze the data and explain your answers. 1. Review the data and for the purpose of this project please consider the 100 listing prices as a population. Explain what your computed population mean and population standard deviation were. Population mean was determined to be $193,262.86 Population standard deviation was determined to be $97382.96 2. Divide the 100 listing prices into 10 samples of n=10 each. Each of your 10 samples will tend to be random if the first sample includes houses 1 through 10 on your spreadsheet, the second sample consists of houses 11 through 20, and so on. Compute the mean of each of the 10 samples and list them: $ 255,460.00 $ 211,380.00 $ 213,820.00 $ 188,750.00 $ 146,840.00 $ 196,360.00 $ 196,340.00 $ 178,330.00 $ 167,870.00 $ 184,950.00 3. Compute the mean of those 10 means. Explain how the mean of the means is equal, or not, to the population mean of the 100 listing prices from above. The mean of the 10 means is $194010.00 Although the mean of the samples does not equal the mean of the whole data, it is only $747.14 off. Since much of the data collected for statistical purposes is from a sample, we can assume that the mean collected from the samples is fairly accurate for the population. The reason we see a difference here could be sampling error. With any sample, there is always the possibility that the sample yields different results than the information the entire population would provide. 4. Compute the standard deviation of those 10 means and compare the standard deviation of the 10 means to the population standard deviation of all 100 listing prices. Explain why it is significantly higher, or lower, than the population standard deviation. 5. Explain how much more or less the standard deviation of sample means was than the population standard deviation. According to the formula for standard deviation of sample means, it should be far less. (That formula is σ = σ/√n = σ/√10 = σ/3.16 ) Does your computed σ agree with the formula? 6. According to the Empirical Rule, what percentage of your sample means should be within 1 standard deviation of the population mean? Using your computed σ, do your sample means seem to conform to the rule? 7. According to the Empirical Rule, what percentage of your sample means should be within 2 standard deviations of the population mean? Again, do your sample means seem to conform to the rule? 8. You used the Empirical Rule because it really gives us more information (and because I asked you to), but truthfully you should have used Chebyshev’s Theorem. Even though Chebyshev’s doesn’t tell us much, why should you have used that one instead? Copyright © XXXX by University of Phoe ...

1. Title
ABC/123 Version X
1
Sampling Distributions Real Estate
QNT/351 Version 5
1
University of Phoenix MaterialSampling Distributions – Real
Estate Part 2Directions: Use the real estate data you used for
your Week 2 learning team assignment. Analyze the data and
explain your answers.
1. Review the data and for the purpose of this project please
consider the 100 listing prices as a population.
Explain what your computed population mean and population
standard deviation were.
Population mean was determined to be $193,262.86
Population standard deviation was determined to be $97382.96
2. Divide the 100 listing prices into 10 samples of n=10 each.
Each of your 10 samples will tend to be random if the first
sample includes houses 1 through 10 on your spreadsheet, the
second sample consists of houses 11 through 20, and so on.
Compute the mean of each of the 10 samples and list them:
$ 255,460.00
$ 211,380.00
$ 213,820.00
$ 188,750.00
$ 146,840.00

2. $ 196,360.00
$ 196,340.00
$ 178,330.00
$ 167,870.00
$ 184,950.00
3. Compute the mean of those 10 means.
Explain how the mean of the means is equal, or not, to the
population mean of the 100 listing prices from above.
The mean of the 10 means is $194010.00
Although the mean of the samples does not equal the mean of
the whole data, it is only $747.14 off. Since much of the data
collected for statistical purposes is from a sample, we can
assume that the mean collected from the samples is fairly
accurate for the population. The reason we see a difference
here could be sampling error. With any sample, there is always
the possibility that the sample yields different results than the
information the entire population would provide.
4. Compute the standard deviation of those 10 means and
compare the standard deviation of the 10 means to the
population standard deviation of all 100 listing prices.
Explain why it is significantly higher, or lower, than the
population standard deviation.
5. Explain how much more or less the standard deviation of
sample means was than the population standard deviation.
According to the formula for standard deviation of sample
formula?

3. 6. According to the Empirical Rule, what percentage of your
sample means should be within 1 standard deviation of the
means seem to conform to the rule?
7. According to the Empirical Rule, what percentage of your
sample means should be within 2 standard deviations of the
population mean? Again, do your sample means seem to
conform to the rule?
8. You used the Empirical Rule because it really gives us more
information (and because I asked you to), but truthfully you
should have used Chebyshev’s Theorem. Even though
Chebyshev’s doesn’t tell us much, why should you have used
that one instead?
Copyright © XXXX by University of Phoenix. All rights
reserved.
Copyright © 2016 by University of Phoenix. All rights reserved.
Week 2AddressPriceSq. Footage# Bedrooms1010 Dunham Dr$
299,000.00213731015 Shady Ln$ 185,000.0031525Frequency
Distribution Table: Listing Price10185 Boleyn Rd$
119,900.001040210257 Emberwoood$
325,000.0030204PriceNumber of ListingsRelative
FreqencyFound 1030 Melrose Ter$ 149,900.00171941mil-
725K10.011/1051105 Grove Ter.$ 749,000.00666010724k-
500k10.011/1051134 Langworthy St.$ 269,900.0020684499k-
250k150.1415/1051145 Mt Pleasant St$
179,900.0019284249k-0880.8488/1051156 Center PL$
132,000.0019583Total10511215 University Ave$
145,000.001547312421 Brittany Ct$ 454,000.00467331292
Wood St$ 157,000.0019952Info On Listing Price13949
Barrington Lake$ 225,000.0025183Mean$ 193,262.861465
Parkway St$ 157,900.0019204Median$ 159,900.001575
Montrose Ter$ 174,500.0025904Mode$ 139,900.0016329
Country View$ 379,000.00190031st Quartile$

4. 208,900.001645 Earl Dr$ 148,000.00156032nd Quartile$
159,900.001690 Auburn St$ 154,900.00133433rd Quartile$
138,250.001698 N Algona ST$ 139,500.00132634th quartile$
119,900.001709 Lawndale St$ 124,000.0017322Range$
24,000.0017173 Ballymore Dr.$ 545,000.0032204Varience$
9,483,441,001.3617400 Ballymore Ln$
445,000.0033144Standard Deviation$ 97,382.96Chebyshev's$
1.001745 Bristol Dr$ 137,000.00159031748 Avalon Rd$
153,000.00169331765 Alta Vista St$ 139,500.0020973Info on
Square Footage1775 Glen Oak St$
132,900.0015963Mean2123.3811785 Sarah St$
124,900.0016643Median20081820 Hale St$
151,000.0013693Modes2082, 2080, 1719, 14001836 Carter RD$
175,000.00233231st Quartile2433.51837 Lori St$
134,900.00161022nd Quartile20081849 Jackson ST$
120,000.0085013rd Quartile16501896 Carter Rd$
169,900.00214444th Quartile8501925 St Anne Ct$
184,000.0023553Range58101970 Fillmore ST$
153,900.0020803Varience683391.5120181432010 Alta Vista
St$ 233,500.0021124Standard Deviation826.675Chebyshev's$
1.002015 Lombard ST$ 164,900.00272642130 Fairway Dr$
179,000.00196032215 Aspen Dr.$ 299,900.0027543# of
BedroomsHomesFrequency2221 Aspen Dr$ 259,900.00312041
BDRM11%2240 Schroeder ST$ 122,500.00141532
BDRM1010%2290 EvergreenDr$ 139,900.00175033
BDRM6057%2350 Pearl St$ 150,000.00220834
BDRM2827%2455 Asbury Rd$ 140,000.00108025
BDRM44%251 N Booth St$ 119,900.00104826
BDRM11%2540 Knob Hill Dr$ 204,900.002400310
BDRM11%2545 Marywood Dr$
129,900.0014493105100%2555 Univeristy Ave$
139,900.00150642629 Millstone$ 149,900.00154032635
Fulton St$ 120,000.00108532652 Mineral St$
174,000.00200832715 Ken Ct$ 171,000.00273232725 Shady
Ln$ 190,000.00228542735 Windsor Ave$
149,000.00196832765 Brunswick ST$ 120,000.00171422820

5. Illinois Ave$ 250,000.00311932820 Van Buren St$
144,000.00232752820 Wildwood Ct$ 214,900.00296342825
Davenport ST$ 129,900.00189342828 Arbor Hills Dr.$
434,900.0045704285 Princeton Pl$ 159,900.00213222860
Indiana Ave$ 130,000.00130032870 N Grandview$
208,900.00140032890 N Grandview$ 208,900.00141232905 St
Anne Dr$ 189,900.00222132918 Indiana Ave$
129,900.00164032929 Brueck Rd$ 214,900.00208432930
Balke ST$ 126,000.00152532939 Van Buren St$
136,000.00166032975 Arbor Hills Dr.$ 449,000.00358252975
St Anne Dr$ 169,900.00212342995 Davenport St$
139,900.00208223023 W 32nd ST$ 209,000.00227533030
Kaufmann Ave$ 166,900.00220533040 Brunswick St$
119,900.00140033045 Deerwood Cr$ 169,000.00184033049
Judson Ct$ 189,900.00248433063 Westmore Dr$
169,000.00208033084 Oak View Ct$ 235,800.00314243085
Keokuk$ 159,900.00171943094 Oak View Ct$
224,000.00309843103 Asbury Rd$ 173,900.00187633160
Sheridan Rd$ 184,500.00381263202 Honeysuckle DR$
299,000.00313043215 Blasen Rd$ 189,000.0026204343 Hill
St$ 135,000.00174243915 Inwood Ave$
124,900.00143234100 Peru Rd$ 150,000.0012003500 Alta
Vista St$ 129,500.0012483515 Strauss ST$
134,000.0013222525 Stevens Ct$ 158,900.0020523530
Sapphire Cr$ 213,900.0020824561 Tanzanite Dr.$
199,900.0020483586 W 7th St$ 279,500.002829360 Alpine St$
119,000.00157236504 N Dorchester$ 289,900.0017913670
Harvard ST$ 134,500.0017443679 Bluff St$
196,000.0025395705 Wilson ST$ 156,900.0020644714 W 8th
ST$ 139,900.0024673725 Clarke Dr$ 120,000.0014023760
Kauffman Ave$ 144,900.0015833819 Kaufmann Ave$
176,900.0022664829 Lawther ST$ 139,900.0017103881
Berkley Pl$ 154,900.0019173949 Spires Dr$
275,000.0026804Mean$ 193,262.862123.3813.324
1mil-725K 724k-500k 499k-250k 249k-0 1 1
15 88

6. 1 BDRM 2 BDRM 3 BDRM 4 BDRM 5 BDRM 6 BDRM 10
BDRM 1 10 60 28 4 1 1 1 BDRM 2
BDRM 3 BDRM 4 BDRM 5 BDRM 6 BDRM 10 BDRM
Week 31010 Dunham Dr$ 299,000.00213731015 Shady Ln$
185,000.003152510185 Boleyn Rd$ 119,900.001040210257
Emberwoood$ 325,000.00302041030 Melrose Ter$
149,900.00171941105 Grove Ter.$ 749,000.006660101134
Langworthy St.$ 269,900.00206841145 Mt Pleasant St$
179,900.00192841156 Center PL$ 132,000.00195831215
University Ave$ 145,000.0015473$ 255,460.0012421
Brittany Ct$ 454,000.00467331292 Wood St$
157,000.001995213949 Barrington Lake$
225,000.00251831465 Parkway St$ 157,900.00192041575
Montrose Ter$ 174,500.002590416329 Country View$
379,000.00190031645 Earl Dr$ 148,000.00156031690 Auburn
St$ 154,900.00133431698 N Algona ST$
139,500.00132631709 Lawndale St$ 124,000.0017322$
211,380.0017173 Ballymore Dr.$ 545,000.003220417400
Ballymore Ln$ 445,000.00331441745 Bristol Dr$
137,000.00159031748 Avalon Rd$ 153,000.00169331765 Alta
Vista St$ 139,500.00209731775 Glen Oak St$
132,900.00159631785 Sarah St$ 124,900.00166431820 Hale
St$ 151,000.00136931836 Carter RD$ 175,000.00233231837
Lori St$ 134,900.0016102$ 213,820.001849 Jackson ST$
120,000.0085011896 Carter Rd$ 169,900.00214441925 St
Anne Ct$ 184,000.00235531970 Fillmore ST$
153,900.00208032010 Alta Vista St$ 233,500.00211242015
Lombard ST$ 164,900.00272642130 Fairway Dr$
179,000.00196032215 Aspen Dr.$ 299,900.00275432221
Aspen Dr$ 259,900.00312042240 Schroeder ST$
122,500.0014153$ 188,750.002290 EvergreenDr$
139,900.00175032350 Pearl St$ 150,000.00220832455 Asbury
Rd$ 140,000.0010802251 N Booth St$ 119,900.00104822540
Knob Hill Dr$ 204,900.00240032545 Marywood Dr$
129,900.00144932555 Univeristy Ave$ 139,900.00150642629

7. Millstone$ 149,900.00154032635 Fulton St$
120,000.00108532652 Mineral St$ 174,000.0020083$
146,840.002715 Ken Ct$ 171,000.00273232725 Shady Ln$
190,000.00228542735 Windsor Ave$ 149,000.00196832765
Brunswick ST$ 120,000.00171422820 Illinois Ave$
250,000.00311932820 Van Buren St$ 144,000.00232752820
Wildwood Ct$ 214,900.00296342825 Davenport ST$
129,900.00189342828 Arbor Hills Dr.$ 434,900.0045704285
Princeton Pl$ 159,900.0021322$ 196,360.002860 Indiana
Ave$ 130,000.00130032870 N Grandview$
208,900.00140032890 N Grandview$ 208,900.00141232905 St
Anne Dr$ 189,900.00222132918 Indiana Ave$
129,900.00164032929 Brueck Rd$ 214,900.00208432930
Balke ST$ 126,000.00152532939 Van Buren St$
136,000.00166032975 Arbor Hills Dr.$ 449,000.00358252975
St Anne Dr$ 169,900.0021234$ 196,340.002995 Davenport
St$ 139,900.00208223023 W 32nd ST$ 209,000.00227533030
Kaufmann Ave$ 166,900.00220533040 Brunswick St$
119,900.00140033045 Deerwood Cr$ 169,000.00184033049
Judson Ct$ 189,900.00248433063 Westmore Dr$
169,000.00208033084 Oak View Ct$ 235,800.00314243085
Keokuk$ 159,900.00171943094 Oak View Ct$
224,000.0030984$ 178,330.003103 Asbury Rd$
173,900.00187633160 Sheridan Rd$ 184,500.00381263202
Honeysuckle DR$ 299,000.00313043215 Blasen Rd$
189,000.0026204343 Hill St$ 135,000.00174243915 Inwood
Ave$ 124,900.00143234100 Peru Rd$ 150,000.0012003500
Alta Vista St$ 129,500.0012483515 Strauss ST$
134,000.0013222525 Stevens Ct$ 158,900.0020523$
167,870.00530 Sapphire Cr$ 213,900.0020824561 Tanzanite
Dr.$ 199,900.0020483586 W 7th St$ 279,500.002829360
Alpine St$ 119,000.00157236504 N Dorchester$
289,900.0017913670 Harvard ST$ 134,500.0017443679 Bluff
St$ 196,000.0025395705 Wilson ST$ 156,900.0020644714 W
8th ST$ 139,900.0024673725 Clarke Dr$ 120,000.0014023$
184,950.00Mean of all sample means$ 194,010.00

8. Sheet2$ 749,000.00308843768775.38666020580911.951161$
545,000.00123719015655.3846736500557.045161$
454,000.0067983856175.379645705985944.531161$
449,000.0065401484775.379638122851434.127161$
445,000.0063371587655.379635822127569.387161$
434,900.0058388507427.379633141417573.603161$
379,000.0034498285175.379632201202573.231161$
325,000.0017354674055.379631521058057.047161$
299,900.0011371479627.379631421037584.667161$
299,000.0011180342775.379631301013281.811161$
299,000.0011180342775.37963120993249.431161$
289,900.009338736827.37963119991257.193161$
279,500.007436844315.37963098949882.195161$
275,000.006680960055.37963020803925.631161$
269,900.005873251227.37962963704960.065161$
259,900.004440508427.37962829497898.173161$
250,000.003219103055.37962754397680.323161$
235,800.001809408279.37962732370417.087161$
233,500.001619027435.37962726363149.659161$
225,000.001007246055.37962680309824.711161$
224,000.00944771775.3796012620246630.431161$
214,900.00468165827.3796012590217733.291161$
214,900.00468165827.3796012539172739.153161$
213,900.00425891547.3796012518155724.155161$
209,000.00247657575.37962484130046.063161$
208,900.00244520147.37962467118074.017161$
208,900.00244520147.3796240076518.0711610001$
204,900.00135423027.3796235553647.3611610001$
199,900.0044051627.3796002233243521.8871610001$
196,000.007491935.37960008232741460.6971610001$
190,000.0010646255.3795999228526120.701161$
189,900.0011308827.3795999227522988.321161$
189,900.0011308827.3795999226620340.179161$
189,000.0018171975.379599922219529.469161$
185,000.0068274855.379599822087160.375161$
184,500.0076787715.379599822056661.661161$

9. 184,000.0085800575.37959972144425.143161$
179,900.00178566027.37962137185.477161$
179,000.00203429175.3796213274.287161$
176,900.00267743187.379621230.145161$
175,000.00333532055.37962112129.527161$
174,500.00352044915.3795992097695.957161$
174,000.00371057775.37959920841550.863161$
173,900.00374920347.37959920821712.387161$
171,000.00495634935.37959920821712.387161$
169,900.00545823227.37959920801881.911161$
169,900.00545823227.37959920801881.911161$
169,000.00588686375.37959920683067.055161$
169,000.00588686375.37959920643526.103161$
166,900.00695000387.37959920525095.247161$
164,900.00804451827.37959920485682.295161$
159,900.001113080427.3796200813312.775161$
159,900.001113080427.3796199516481.681161$
158,900.001180806147.3796196824143.255161$
157,900.001250531867.3796196026693.351161$
157,000.001314995015.3796195827350.875161$
156,900.001322257587.3796192838173.7351609999$
154,900.001471709027.3796192041363.8311609999$
154,900.001471709027.3796191742593.1171609999$
153,900.001549434747.3796190049899.0711609999$
153,000.001621097895.3796189353075.4051609999$
151,000.001786149335.3796187661197.3591609999$
150,000.001871675055.3796184080304.7911609999$
150,000.001871675055.37961791110477.129161$
149,900.001880337627.37961750139413.371161$
149,900.001880337627.37961744143929.943161$
149,000.001959200775.37961742145451.467161$
148,000.002048726495.37961732153179.087161$
145,000.002329303655.37961719163523.993161$
144,900.002338966227.37961719163523.993161$
144,000.002426829375.37961714167592.803161$
140,000.002836932255.37961710170883.851161$

10. 139,900.002847594827.37961693185227.805161$
139,900.002847594827.37961664211030.903161$
139,900.002847594827.37961660214721.951161$
139,900.002847594827.37961640233657.191161$
139,900.002847594827.37961610263560.051161$
139,500.002890445115.37961596278130.719161$
139,500.002890445115.37961590284495.291161$
137,000.003165509415.37961583292011.625161$
136,000.003279035135.37961572304021.007161$
135,000.003394560855.37961560317398.151161$
134,900.003406223427.37961547332215.057161$
134,500.003453073715.37961540340333.391161$
134,000.003512086575.37961525358059.821161$
132,900.003643674867.37961506381159.299161$
132,000.003753138015.37961449454789.733161$
130,000.004002189455.37961432478007.687161$
129,900.004014852027.37961415501803.641161$
129,900.004014852027.37961412506062.927161$
129,900.004014852027.37961402520390.547161$
129,500.004065702315.37961400523280.071161$
126,000.004524292335.37961400523280.071161$
124,900.004673480627.37961369569090.693161$
124,900.004673480627.37961334623122.363161$
124,000.004797343775.37961326635816.459161$
122,500.005007382355.37961322642211.507161$
120,000.005367446655.37961300677956.271161$
120,000.005367446655.37961248766291.895161$
120,000.005367446655.37961200852632.471161$
120,000.005367446655.379610851078235.101161$
119,000.005514972375.379610801088643.911161$
119,900.005382109227.379610481156444.295161$
119,900.005382109227.379610401173714.391161$
119,900.005382109227.37968501621499.171161$
193,262.86995761305142.8629483441001.360592123.38095238
171756108.761905683391.512018143