Lab7SummaryStatisticsLab7MeanStandardDeviationandRelationshipsbetweenVariables2.zip

(Lab 7 Summary Statistics) Lab #6 Mean Standard Deviation and Relationships between Variables/Digital Mapping Lab #6 Excel Data.xls

Data

LON LAT COMMUTE GROWUP WEALTH PHILLIES MINUTES MILES
-75.147479 39.9725 1 1 2 4 10 15
-75.049661 40.0216 3 3 3 4 60 26
-75.161181 39.9699 1 2 2 2 20 7
-75.168795 39.9705 1 3 3 5 10 10
-75.172126 39.9628 1 2 3 3 10 30
-75.172426 39.9485 1 2 3 3 10 30
-75.149347 40.0008 3 2 4 5 8 15
-75.166688 39.9149 1 2 3 5 8 15
-75.150309 39.9384 1 3 3 1 4 600
-75.159009 40.0442 1 3 2 1 12 45
-75.162933 39.9696 1 3 4 1 8 135
-75.222919 39.9544 1 3 5 5 15 37
-75.152072 40.0000 1 3 3 3 5 50
-75.183398 39.9119 1 2 4 2 7 27
-75.188429 39.9381 1 2 3 3 5 24
-75.185377 39.9879 1 3 3 1 5 275
-75.232999 40.0455 1 3 3 4 1 85
-75.199253 39.9584 1 2 4 3 10 12
-75.009211 40.1000 2 3 5 1 10 90
-75.156383 40.0503 2 1 5 5 32 13
-75.15144 40.0610 1 3 2 1 5 35
-75.155166 40.0051 1 3 3 1 3 36
-75.173486 39.9330 1 2 3 4 8 60
-75.164579 39.9456 1 3 3 3 7 100
-75.159318 39.9608 1 2 3 3 10 60
-75.209011 40.0647 1 3 4 1 10 350
-75.186544 39.9852 1 3 3 3 7 2
-75.159175 39.9514 1 2 3 2 5 30
-75.209042 39.9642 1 3 3 1 30 100
-75.179603 39.9151 2 3 3 4 90 50
-75.232458 39.9465 1 2 2 1 7 20
-75.129351 39.9810 1 3 3 3 5 70
-75.180881 39.9311 3 1 4 4 30 10
-75.131947 40.0285 3 2 4 1 60 30
-75.159691 39.9569 1 3 2 2 10 180
-75.226308 39.9518 2 2 2 5 5 25
-75.12638 39.9834 1 2 3 4 5 50
-75.133215 39.9695 1 2 2 1 15 37
-75.03066 40.0414 1 3 3 1 5 94
-75.137571 39.9774 3 1 3 2 30 8
-75.12468 40.0005 1 1 4 3 7 4
-75.143725 39.9516 3 3 1 1 25 4
-75.218767 40.0278 1 3 3 1 7 90
-75.159002 39.9200 2 2 2 4 40 12
-75.139278 40.0062 1 2 3 5 10 25
-75.084643 40.0666 1 3 3 5 5 30
-75.073254 40.0442 1 1 3 2 8 20
-75.137786 39.9638 1 3 3 3 7 100
-75.253563 39.9798 1 2 4 4 8 25
-75.167782 39.9396 1 3 4 2 5 120
-75.186185 40.0629 1 2 2 3 5 20
-75.205684 39.9603 1 3 4 3 5 60
-75.127004 39.9792 1 3 2 4 5 100
-75.162854 39.9849 1 3 4 1 5 50
-75.172839 39.9419 1 2 1 3 10 20
-75.011648 40.1330 1 3 3 1 15 80
-75.031322 40.1136 1 3 3 2 6 100
-75.155829 39.9214 2 3 3 1 8 395
-75.157793 39.9845 1 2 4 5 10 29
-75.158536 39.9293 1 2 4 3 4 29
-75.152478 40.0602 1 3 4 1 3 81
-75.145258 39.9509 1 1 3 2 10 20
-75.014757 40.0570 1 3 3 1 15 60
-75.140534 39.9829 1 3 5 3 10 75
-75.125097 40.0205 1 2 3 5 5 30
-75.165968 39.9648 2 2 3 2 5 100
-75.158671 39.9335 1 3 3 5 5 30
-75.126212 39.9892 1 3 3 2 7 55
-75.137056 39.9774 3 1 4 2 60 15
-75.092196 39.9901 1 2 2 1 10 35
-75.182351 40.0391 1 2 4 3 8 60
(-75.14569 39.9482 3 3 1 1 15 200
-75.153909 39.9623 1 3 3 1 8 75
-75.147912 40.0176 1 2 3 5 7 20
-75.166055 39.9646 3 2 1 1 50 30
-75.150979 39.9301 1 2 3 4 4 30
-75.228739 40.0413 1 1 5 5 10 20
-75.035832 40.0281 1 3 3 5 5 50
-75.174856 39.9493 1 2 3 4 10 30
-75.137648 39.9824 1 3 3 1 10 70
-75.165571 40.0282 2 3 2 1 5 60
-75.166798 39.9268 1 2 2 2 10 75
-75.167192 39.9797 3 2 4 2 40 50
-75.166679 39.9482 3 2 5 5 1 50
-75.230216 39.9218 1 3 4 4 5 150
-75.168529 39.9179 1 3 4 5 15 100
-75.182491 39.9802 1 3 3 3 11 30
-75.110322 40.0180 1 2 4 5 10 30
-75.181342 39.9776 1 2 3 4 12 33
-75.100802 40.0431 1 2 4 5 10 40
-75.158821 39.9632 1 3 3 3 5 100
-75.024463 40.0398 3 1 3 5 40 35
-75.164034 40.0000 1 3 1 5 5 15
-75.160347 39.9780 1 2 2 5 15 45
-74.963661 40.1006 2 1 5 3 30 15
-75.155939 39.9559 1 2 2 2 8 50
-75.095917 40.0514 1 3 3 2 3 28
-75.049491 40.0420 1 2 5 5 12 60
-75.114092 39.9782 1 2 2 2 20 30
-75.17361 39.9333 3 2 2 5 15 30
-75.046744 40.0261 3 2 4 5 10 33
-75.130494 39.9790 3 3 5 5 5 40
-75.175115 39.9394 3 3 4 5 5 100
-75.194533 39.9566 3 3 2 5 5 35
-75.234642 39.9614 3 1 3 5 7 15
-75.181151 40.0304 2 1 2 5 60 45
-75.159449 39.9473 1 3 1 5 10 15
-75.21577 39.9489 1 3 2 5 8 50
-75.174696 39.9715 2 3 3 5 15 28
-75.133893 40.0196 1 3 4 5 5 60
-75.171889 39.9699 2 1 1 5 30 50
-75.178452 39.9350 1 1 3 5 7 50
-75.176006 39.9395 2 2 2 5 25 150
-75.171797 39.9343 1 1 3 5 7 100
-75.168014 39.9504 1 2 4 5 40 30
-75.166589 39.9202 2 3 5 5 10 30
-74.972546 40.0796 3 1 1 5 5 33
-75.173958 39.9407 3 2 2 5 8 40
-75.145106 39.9581 3 2 3 5 7 100
-75.052769 40.0588 3 3 4 5 8 35
-75.176232 40.0413 3 1 5 5 5 15
-75.178103 39.9418 3 2 4 5 5 45
-75.156383 39.9995 3 3 3 5 5 24.5
-75.172826 39.9514 3 1 2 5 5 17
-75.192527 39.9475 3 1 1 5 7 9.5
-75.202481 40.0710 3 1 2 5 60 60
-75.145291 39.9416 3 1 3 5 10 75
-75.161567 39.9230 1 1 2 5 8 50
-75.148125 39.9344 1 1 1 5 60 50
-75.130131 40.0397 1 2 2 5 20 150
-75.142725 39.9649 1 2 3 5 10 100
-75.069542 39.9996 1 2 4 3 10 30
-75.150517 39.9374 1 2 3 3 10 30
-75.162598 39.9083 1 2 2 3 8 33
-75.144122 39.9772 1 2 3 3 8 40
-75.236298 40.0563 1 2 4 3 4 100
-75.145988 40.0281 1 2 5 3 12 57
-75.140748 39.9668 1 2 3 3 8 56
-75.178929 39.9398 1 3 2 3 15 54
-75.16853 39.9686 1 3 2 3 5 52
-75.067281 40.0515 1 3 1 3 7 51
-75.180904 40.0286 1 3 2 3 5 7
-75.170618 40.0658 1 3 5 3 5 10
-75.239929 40.0695 2 3 5 3 8 30
-75.157782 39.9359 2 3 4 3 15 30
-75.127718 40.0041 2 3 4 3 5 15
-75.163479 39.9690 2 1 4 3 30 15
-75.144494 39.9431 2 1 4 3 7 600
-75.184119 40.0422 2 1 4 3 25 45
-75.174648 39.9533 2 1 4 3 7 135
-75.164352 39.9443 2 1 4 3 40 205
-75.136644 39.9816 2 1 5 3 10 437.5
-75.164043 39.9620 2 1 5 3 5 670
-75.042346 40.0325 2 1 4 3 8 902.5
-75.214488 40.0057 2 1 3 3 7 1135
-75.189256 40.0648 2 1 4 3 8 1367.5
-75.118161 40.0399 2 1 5 3 5 342
-75.181656 39.9325 2 1 2 3 5 32
-75.148625 40.0053 2 1 3 3 5 344
-75.162061 40.0226 2 1 4 3 5 566
-75.161539 39.9231 2 1 4 3 7 432
-75.192996 39.9360 2 1 5 3 60 23
-75.186497 39.9947 2 1 5 3 10 21
-75.160838 39.9245 2 1 4 3 8 15
-75.220631 39.9479 2 1 3 3 60 4
-75.052038 40.1039 2 1 4 3 20 2
-75.16007 39.9854 2 1 5 3 10 33
-75.173922 39.9651 2 1 6 3 10 21
-74.992689 40.0476 2 1 3 3 8 23
-75.237826 39.9097 2 1 4 3 8 45
-75.185204 40.0364 2 1 4 3 4 332
-75.180579 39.9753 2 1 5 3 12 11
-75.18444 40.0506 2 1 4 3 8 23
-75.159655 39.9580 2 1 5 3 15 34
-75.173329 39.9415 2 1 6 3 5 21
-75.220807 39.9553 2 1 2 3 7 55
-74.970514 40.0874 2 1 3 3 5 56
-75.137407 39.9757 2 1 2 3 60 76
-75.025382 40.1230 2 1 1 3 10 54
-75.008292 40.0585 2 1 2 3 8 32
-75.110591 39.9948 2 1 3 3 60 45
-75.142417 39.9743 2 1 5 3 34 43
-75.147666 40.0236 2 1 2 3 33.8 21
-75.170603 39.9835 2 1 1 3 33.6 34
-75.192643 39.9661 2 1 2 3 33.4 21
-75.161434 39.9712 2 1 2 3 33.2 21
-75.155512 40.0297 2 1 3 3 33 45
-75.139105 39.9952 2 1 4 3 32.8 33
-75.112421 39.9967 2 1 4 3 60 67
-75.180069 39.9459 2 1 5 3 10 64
-75.074719 39.9955 2 1 5 3 8 879
-75.157521 39.9268 2 1 4 3 60 643
-75.242207 39.9906 2 1 3 3 20 45
-75.177834 39.9449 2 2 3 3 10 32
-75.178306 39.9406 3 2 4 3 10 21
-75.16774 40.0614 3 2 5 3 10 12
-75.128751 39.9998 3 2 4 3 55 5
-75.16814 39.9507 3 2 3 3 64 6
-75.107254 39.9941 3 2 2 3 54 8
-75.076505 40.0718 3 2 5 3 32 5
-75.171308 39.9670 3 2 5 3 23 3
-75.204124 39.9618 3 2 5 3 23 3
-75.166586 39.9320 3 2 5 3 12 4
-75.171028 39.9623 3 2 5 3 10 5
-75.164736 39.9361 3 2 5 3 8 6
-75.158014 39.9246 3 2 5 3 15 7
-75.178417 39.9914 3 2 5 3 5 23
-74.961471 40.0954 3 2 5 3 30 34
-75.184226 40.0067 3 2 5 3 7 21
-75.154131 39.9183 3 2 5 3 25 55
-75.149905 39.9645 3 2 5 3 7 56
-75.170426 39.8954 3 2 5 3 40 76
-75.050449 40.1093 3 2 5 3 10 54
-75.129251 39.9801 1 2 5 3 5 32
-75.080112 40.0374 2 2 5 3 8 45
-75.177505 39.9694 3 2 5 3 7 43
-75.232811 39.9910 2 2 5 3 8 21
-75.165512 39.9654 2 2 5 3 34 34
-75.106918 39.9884 1 2 5 3 32 21
-75.133929 40.0345 2 2 5 3 12 21
-75.248007 39.9474 1 2 5 3 45 45
-75.227929 39.9416 3 2 5 3 54 33
-75.108149 39.9833 2 2 5 3 33 5
-75.13096 40.0402 1 2 5 3 33 3
-75.159481 40.0381 2 2 4 3 21 3
-75.22306 39.9544 3 2 4 3 13 4
-75.157745 39.9258 3 2 4 3 15 5
-75.206139 40.0753 3 2 4 3 43 6
-75.159764 39.9761 3 2 4 3 32 7
-75.203733 39.9592 1 2 4 3 22 23
-75.044878 40.0350 2 2 4 3 23 34
-75.154468 40.0011 2 2 4 3 24 21
-75.139847 40.0117 3 2 4 3 25 55
-75.167553 39.9261 2 2 4 3 23 56
-75.221515 39.9758 1 3 4 3 34 76
-75.14081 39.9689 3 3 4 3 32 62
-75.134772 39.9696 1 3 4 3 12 67
-75.120251 40.0278 2 3 4 3 45 73
-75.17538 39.9394 2 3 4 3 54 79
-75.202715 39.9631 2 3 4 3 33 85
-75.08983 40.0064 1 3 4 3 33 91
-75.241958 39.9167 3 3 4 3 21 96
-75.149173 39.9260 3 3 2 3 13 102
-75.116591 39.9971 1 3 2 3 15 107
-75.181567 39.9800 2 3 2 3 10 113
-75.15947 39.9639 2 3 2 3 8 119
-75.175997 39.9668 1 3 2 3 8 124
-75.15549 39.9270 2 3 2 3 4 32
-75.083593 40.0012 2 3 2 3 12 5
-75.155028 39.9705 2 3 2 3 8 6
-75.177172 39.9343 1 3 2 3 15 7
-75.017828 40.1347 1 3 2 3 5 8
-75.175987 39.9355 1 3 2 3 7 45
-75.139721 40.0633 1 3 2 3 5 33
-75.171806 39.9018 1 3 2 3 5 456
-75.119848 39.9806 1 3 2 3 8 21
-75.174158 40.0118 3 3 2 3 12 45
-75.15676 39.9391 3 3 2 3 8 342
-75.17601 39.9964 3 3 2 3 15 32
-75.177514 39.9343 3 3 2 3 5 344
-75.140032 39.9852 3 3 2 3 7 566
-75.142912 40.0432 3 3 2 3 5 432
-75.221434 40.0242 3 3 2 3 5 23
-75.081011 40.0435 3 3 2 3 8 21
-75.182556 39.9315 3 3 2 3 12 15
-75.22467 39.9624 3 3 2 3 8 4
-75.154735 39.9379 3 3 2 3 15 2
-75.137611 39.9744 3 3 2 3 5 50
-75.185362 40.0311 3 3 2 3 7 50
-75.153142 39.9379 3 3 2 3 5 150
-75.159238 39.9299 3 3 2 3 5 100
-75.238184 39.9243 3 3 1 3 8 30
-75.168571 39.9282 3 3 1 3 32 30
-75.235061 40.0499 3 3 1 3 22 33
-75.092385 40.0367 3 3 1 3 34 40
-75.202666 40.0777 3 3 1 3 12 100
-75.174346 40.0399 3 3 1 3 11 35
-75.173212 39.9140 3 3 1 3 54 15
-75.026764 40.0389 3 3 1 3 45 45
-75.161174 39.9701 3 3 1 3 32 24.5
-75.122398 39.9828 2 3 1 3 23 17
-75.22523 40.0405 2 3 1 3 34 34
-75.161126 39.9819 2 3 1 3 32 55
-75.000087 40.1049 2 3 1 3 56 67
-75.160579 39.9792 2 3 1 3 56 68
-75.171322 39.9479 2 3 1 3 32 53
-75.239736 39.9582 2 3 1 3 32 43
-75.224952 39.9807 1 3 1 3 34 233
-75.151156 39.9412 1 3 1 3 56 12
-75.170438 39.9334 3 3 1 3 57 44
-75.146134 40.0277 3 3 1 3 58 2
-75.172426 39.9485 1 3 2 2 45 5
-75.215704 40.0325 1 3 2 2 43 7
-75.159035 39.9531 2 2 2 2 41 98
-75.218408 40.0266 3 3 2 2 40 11
-75.154747 39.9432 1 1 2 2 33 3
-75.15398 39.9392 2 2 2 2 26 23

Dictionary

Category Question Field Value Key
Location
a. Lattitude
b. Longitude
Question 1 -  Nominal Data
a.      What is your preferred mode of transportation (other than walking) COMMUTE 1 Bike
2 Drive
3 Public Transportation (train/bus/subway/trolley)
b.       Where are you from (did you grow up)? GROWUP 1 City of Philadelphia
2 Suburbs of Philadelphia
3 Outside the Philadelphia area
Question 2 - Ordinal Data
a.       How important to you is being wealthy? WEALTH {1, 2, …5}
c.       How much of a Phillies fan are you? PHILLIES {1, 2, …5}
Question 3 - Ratio Data
a.       How many minutes does it typically take you to get from MINUTES # minutes
your current residence to work?
b.      How many miles is it, approximately, from where you grew up MILES # miles
(or consider “home”) from where you currently are?

(Lab 7 Summary Statistics) Lab #6 Mean Standard Deviation and Relationships between Variables/Digital Mapping Lab #7 Hybrid.docx

Lab 7: Working with Spatial Data, Part 2

Learning Outcomes for Lab:

1. Summarize and analyze spatial data sets

2. Calculate mean in Excel

3. Calculate standard deviation in Excel

4. organize data for analysis

5. Explore functions in Excel

6. Explore/Explain the relationship between quantitative variables

Learning Outcomes for Quantitative Literacy:

· Understand quantitative models that describe real world phenomena and recognize limitations of those models;

· Perform simple mathematical computations associated with a quantitative model and make conclusions based on the results;

· Recognize, use, and appreciate mathematical thinking for solving problems that are part of everyday life;

· Understand the various sources of uncertainty and error in empirical data;

· Retrieve, organize, and analyze data associated with a quantitative model; and

· Communicate logical arguments and their conclusions.

1. Calculate the mean and standard deviation for the MINUTES variable.

Here, we will continue from last week’s lab to work with the survey data. If you haven’t already, download the Data for Lab Digital Mapping excel from lab #5. Open the file in Microsoft Excel. Recall that this file contains survey results.

Review the data table on the aata tab and the meanings and coding for the variables on the Dictionary tab.

Calculating Mean

To calculate the mean, go to the data table, and in the row underneath the last row containing data, in the cell under the MINUTES variable type the function

=AVERAGE(G2:G298)

Note that the columns are labeled with letters, e.g. ‘G’ at the top of the table which serves as an identifier for that column/variable. The function ‘average’ indicates you are calculating the average and the text “G2:G298” indicates the range of cells for which to apply the average calculation.

Question 1: What is the mean of the MINUTES variable (to the nearest whole minute)?

To calculate the standard deviation, go to the data table, and in the row underneath the row containing the mean, under the MINUTES variable type the function

=stdev(G2:G298)

Question 2? What is the standard deviation of the MINUTES variable (to the nearest whole minute)?

Question? Standard Deviation and Mean are summary statistics – they tell us something important about this complex array of numbers. Having calculated the mean and standard deviation please analyze the data set using SD and mean. Explain what they numbers tell us about the data set. Please recall our discussion from class to answer this question.

2. Calculate the mean and standard deviation of MINUTES for each value of WEALTH.

Here you will create a table that reports the mean and standard deviation (to the nearest whole number) of MINUTES for each value of WEALTH. Select all and then under the sort & filter tab select “custom sort.” Add a level, then select first to sort by WEALTH, then MINUTES. Complete the table below:

Wealth Variable

Average for each wealth category for Minutes

Standard Deviation for each wealth category for Minutes

1

Avg minutes for all of the 1s

SD in minutes for all of the 1s

2

Avg minutes for all of the 2s

SD in minutes for all of the 2s

3

Avg minutes for all of the 3s

SD in minutes for all of the 3s

4

Avg minutes for all of the 4s

SD in minutes for all of the 4s

5

Avg minutes for all of the 5s

SD in minutes for all of the 5s

Question 3: Write a paragraph or two addressing the following questions: Is there a relationship between the importance of wealth question and the amount of minutes it takes for folks to get to work? Explain/analyze the relationship you showed in this table.

3. Investigate another relationship between variables in the data set

Question 4: Investigate whether a nominal or ordinal variable of your choosing in the data set has a relationship with MILES. To do this, use the same approach you used to investigate whether the mean and standard deviation of MINUTES differed for different values of WEALTH. In your answer, be sure to include a table that expresses the mean and standard deviation of MILES for different values of the nominal or ordinal variable you choose. Then, explain in a paragraph if you think there is a relationship between MILES and the other variable, the evidence for this relationship relating to the differences in mean and/or standard deviation, and why you think the relationship exists (or doesn’t exist).

Wealth Variable

Average for each wealth category for Miles

Standard Deviation for each wealth category for Miles

1

Avg miles for all of the 1s

SD in miles for all of the 1s

2

Avg miles for all of the 2s

SD in miles for all of the 2s

3

Avg miles for all of the 3s

SD in miles for all of the 3s

(4) Use only for ordinal

Avg miles for all of the 4s

SD in miles for all of the 4s

(5) Use only for ordinal

Avg miles for all of the 5s

SD in miles for all of the 5s

Explain the relationship between the variables here…