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Thursday, October 11, 2018

Tomorrow = TEST!

Tomorrow is our big Unit 1 test! This is our most weighted test of the quarter, and anything we've learned is free game--so study!

How can I study for tomorrow's test?
  • Review your mid-unit test...
    • Look at any comments I left--be aware of any mistakes you made, and avoid making the same mistake twice!
    • Try to use your notes/resources and figure out how to correctly answer any questions you got wrong!
      • Maybe talk to some classmates and look at/have them text you a picture of their response (if it was correct)
    • Look at the sample written responses for some of these questions at the bottom of this post
  • Complete and score your "take home test" from our long weekend (answers below)
    • Again, if you got something wrong, try to use your notes and work with classmates to figure out the correct solution!
  • Review your notes--when I was in college I always typed an outline of my notes...
    • This takes work, but was always effective for me--it forced me to review my notes and identify the "big ideas"
    • By the time I was done typing up the outline I had done a lot of studying, and then, from there, I could easily look at my outline (printed out or you could look on your phone) to review notes while on the bus or walking to class etc.
  • Review past tests/quizzes
  • Try practice problems in the "Part 1 Review" section of your textbook on pages 130-140; I would only try odd numbered problems so you can check your answers in the back of the book
  • Do the short extra credit assignment below for a little more practice with "comparing boxplots" and working with the Normal model
  • Watch some AP Stats Guy or Crash Course or Yay Math! videos about the topics we've covered
  • Use Khan Academy--log in, enter our class code (shown with the link on the right), and do lots of practice problems!
    • Our class code will link you to me and to Khan's AP Statistics course!

What's on the test tomorrow?
  • Comparing Distributions
    • I would look at the 2012 AP Free Response we had for homework a few weeks ago (comparing two histograms about household sizes in 1950 and 2000)
    • Also look at the stamp problem (comparing boxplots) from Tuesday, and the comparing boxplots (graduation rates) homework we had last week--this homework has a scoring rubric on the back in bold, and this is the same way I will score any "comparing distributions" question
  • Working with the Normal model
    • When can we use a Normal model? What shape do we need?
    • Be sure to know how to work with normalcdf and invnorm, and more so, when to use each
    • Look over the "storm classifications" classwork from Tuesday (returned today), or try the extra credit practice problems below
    • You can also look at the "ketchup" problems we did in class: here are the answers
      • a.) normalcdf(1, 1.2, 1.05, 0.08) = 0.7036 = 70.36% (also show a shaded model with 1 and 1.2 labeled)
      • b.) normalcdf(1.25, 999999999, 1.05, 0.08) = 0.0062 = 0.62% (also show a shaded normal model with 1.25 labeled)
      • c.) invnorm(0.80, 1.05, 0.08) OR invnorm(0.80, 1.05, 0.08, left) = 1.117 fluid ounces (also show a normal model with the given % shaded)
      • d.) invnorm(0.75, 1.05, 0.08) OR invnorm(0.75, 1.05, 0.08, left) OR invnorm(0.25, 1.05, 0.08, right) = 1.104 fluid ounces (also show a normal model with the given % shaded)
      • e.) Skip
      • f.) IQR = Q3 - Q1
        • Find Q3 by calculating the 75th percentile = invnorm(0.75, 1.05, 0.08) = 1.117
        • Find Q1 by calculating the 25th percentile = invnorm(0.25, 1.05, 0.08) = 0.996
        • Subtract: IQR = Q3 - Q1 = 1.117 - 0.996 = 0.121 fluid ounces
  • Shifting/Rescaling
    • Take a look at the textbook homework we had in chapter 6 (p. 123 #'s 3, 13) or, more so, the example from your long-weekend take home test (dealing with $ to yen)
  • Appropriate Summary Statistics: WHY?
    • Know WHY we don't like the mean for a skewed distribution--more so, know how the mean is affected by extreme values ("the tail"), and know how the mean and median will compare for a given shape (skewed left, skewed right, or symmetric)
  • Calculating Z-Scores
    • Know how to calculate a z-score and how to work with the z-score formula
    • Also, be sure you know how to interpret a z-score
  • Measures of Center/Spread
    • Know how these are calculated and what they are--think more conceptually, and be sure to understand how these are/are not affected by "extremes"
    • Also know how to estimate some of these statistics (median, Sx, IQR, range) visually (given a graph)
      • Know if a given graph has a high/low measure of spread based on its shape, and how to estimate the median and range given a graph
  • This is NOT everything on the test! Anything we've learned is free game--these are just some of the concepts to focus on! Use the suggestions above for "how to study" to help!
Our "Take Home Test" (from the long weekend) answer key is below!
  1. B
  2. D
  3. A
  4. D
  5. E
  6. D
  7. V
  8. C or D (should say more than 3 standard deviations away from the mean)
  9. B
  10. B
  11. D
  12. A
  13. D
  14. B
  15. C
  16. B
  17. A
  18. D
  19. A
  20. D
  21. C
  22. E
  23. A
  24. B
  25. A
  26.  The bin from 60-70 should have a height of 4, the bin from 70-80 should have a height of 7, the bin from 80-90 should have a height of 10, and the bin from 90-100 should have a height of 11; also, remember to label your x-axis (exam score), y-axis (frequency or # of students/scores), and give a title
  27. Min = 3400 yen; Sx = 2000 yen; Median = 6200 yen; IQR = 2400 yen
  28. a.) Lowest median = grade 9  b.) Year 12 has the most variability in numbers of absences because it has the largest IQR and is tied (with year 11) for the largest range.    c.) Generally, students in year 9 were absent the least; year 9 ahs the lowest maximum, lowest Q3, lowest median, and lowest Q1. Additionally, at least 75 % of students were absent for fewer days than more than 50% of students in year 10, than more than 75% of students in year 11, and more than 50% of students in year 12. 
  29. a.) 27/30 = 90th percentile;   b.) between 149.5 and 159.5 cm OR between 159.5 and 169.5 (this is a bad question because the median is really between the 15th and 16th data value, and that data value is not clearly in one bin--the 15th data value is in the second bin, and the 16th is in the third bin)
Extra Credit Opportunity:
  • If you'd like some more practice, and a little more extra credit, complete the following and show it to me by Friday:
  • Page 93: #19
  • Page 127: #35
  • Page 132 and 136: #8, 25cdef, 
  • Here is the answer for #8--ALWAYS CHECK YOUR ANSWERS ON THE BLOG OR IN THE BACK OF THE BOOK:
    • 8b.) 3.3%
    • 8c.) 6.7%
    • 8d.) pH = 4.40
    • 8e.) pH = 5.89
    • 8f.) Q1 = 4.5, Q3 = 5.30, IQR = 0.80


And here are some sample responses for the "writing questions" on our mid-unit test:





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