CMPS 173, Excel, Fall 2008, Assignment 6, Describing Data Sets, Standard Deviation, etc.; Due September 23, 2008, 120 points
This assignment is meant to gain familiarity with creating series of numbers and making basic charts and graphs. Send the Excel worksheet back through blackboard. Label all parts of the assignment so each part can be easily found.
1. At the top of your worksheet put: a. Put your name b. W number c. Favorite bug of all time. 2. Looking at the two graphs below: a. Which of the graphs below would appear to have a smaller standard deviation? b. What are your reasons?
Graph A
x/y point data
5 4 3 2 1
y 0 Series1 -5 -4 -3 -2 -1 -1 0 1 2 3 4 5 -2 -3 -4 -5 x
Graph B
x/y point data
5 4 3 2 1
y 0 Series1 -5 -4 -3 -2 -1 -1 0 1 2 3 4 5 -2 -3 -4 -5 x
1 3. Using the following data complete the questions:
10.24 11.68 12.544 12.448 11.776 10.7584 9.7792 9.0688 8.76544 8.85376 9.22624 9.720064 10.17856 10.48806 10.60004 10.52861 10.33339 10.09337 9.881927 9.748572 9.711223 9.758451 9.859022 9.974533 10.07115 10.12754 10.13773 10.10927 10.05825 10.00316 9.959452 9.936152 9.934888 9.951107 9.976646 10.00269 10.02225 10.03159 10.03051 10.02161 10.00898 9.996772 9.988127 9.984536 9.985827 9.990577 9.996762
2 10.00243 10.0062 10.0075 10.00652 10.00404 10.00104 9.998435 9.996818 9.9964 9.997025 9.998299 9.999739 10.00093 10.00161 10.00172
a. Graph the data. b. Find the average of the data. c. Find the median value of the data. d. Find the mode or approximate mode of the data. Hint; you may want to sort the data and then graph it to find the mode. e. Find the variance of the data. f. Find the standard deviation of the data. 4. Using the following data complete the questions:
4 6.4 7.84 8.704 9.222401 11.6224 13.0624 13.9264 14.4448 14.75584 14.10688 12.88192 11.31136 9.53344 7.631104 5.988351 4.835583 4.311039 4.497663 5.445222 7.049881 9.115648 11.39123 13.59217 15.41408
3 16.59413 16.94787 16.39137 14.95451 12.78888 10.15122 7.372077 4.815528 2.833726 1.718176 1.657686 2.708855 4.782644 7.649154 10.96188 14.29881 17.21527 19.30221 20.24255 19.85779 18.13827 15.25216 11.53128 7.434259 3.491142 0.235834 -1.86503 -2.47754 -1.45125 1.152297 5.057963 9.803976 14.79499 19.37549 22.91457 24.89139 24.9698 23.0518 19.3016 14.13577 8.179218 2.191299 -3.02942 -6.75006 -8.40437 -7.67606 -4.55258 0.65919 7.359215 14.72096
4 21.79139 27.61242 31.34874 32.40506 30.51667 25.80012 18.75515 10.21565 1.253628 -6.95304 -13.2731 -16.7751 -16.8614 -13.3629 -6.58164 2.727593 13.43765 24.18222 33.52736 40.16002 43.06898 41.69392 36.02103 26.61009 14.54608 a. Graph the data. b. Find the average of the data. c. Find the median value of the data. d. Find the mode or approximate mode of the data. Hint; you may want to sort the data and then graph it to find the mode. e. Find the variance of the data. f. Find the standard deviation of the data. 5. Of the two data sets from questions 3 and 4, which data set is more consistently closer to its average? What is your proof? 6. Using the following data:
xc yc xx yy -0.35838 0.917017 1.841762 1.495438 -0.54398 -0.7044 3.818732 2.279974 0.211156 -0.26761 1.773999 2.275498 -0.62712 0.614095 1.980205 3.418319 -0.75348 0.528129 2.264892 1.637194 0.086886 -0.34893 3.71979 3.931607 1.196013 -0.64323 2.873077 0.427411 -0.14397 0.600419 3.050809 0.353757 -0.54889 -0.48285 0.272528 3.264605 0.044574 0.850165 3.313137 3.62392 0.745715 -0.8855 1.312137 1.143468 0.072351 -0.52024 1.386352 2.081891
5 -0.7377 0.547259 3.67189 0.110556 0.981576 -0.59927 2.618895 0.686998 0.303035 0.105104 2.965268 3.038734 -0.06617 0.262012 3.705582 2.610074 0.142518 0.315977 3.020782 1.186765 -0.00414 -0.28815 2.412651 2.316273
a. Graph the data. b. Determine which data set is more consistently about its mean.
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