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Quiz 3 Results

Quiz 3 Results. (Review for Midterm 1). Results. Problem 1. Everyone scored 100% (4/4). Are the following variables categorical (c) or quantitative (q)? __q__ Age (in years ) __c__ Age (possible choices are “old”, “young”, “average”) __q__ Number of credit hours __c__ Gender.

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Quiz 3 Results

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  1. Quiz 3 Results (Review for Midterm 1)

  2. Results

  3. Problem 1 Everyone scored 100% (4/4) • Are the following variables categorical (c) or quantitative (q)? • __q__ Age (in years) • __c__ Age (possible choices are “old”, “young”, “average”) • __q__ Number of credit hours • __c__ Gender

  4. Problem 2 Each part was worth 1 for a total of 4 • (2) Consider the following cross-tab table. It is a sample taken from a room full of professionals at Aultman Hospital last year: • Profession • Statistician Doctor Lawyer • Tall 20 30 10 • Short 25 15 5 • __105__ How big was the sample size? • __44.4__ Percent of statisticians that are tall? • __57.1__ Percent of people that are doctors or lawyers? • __Lawyers__ Who is more likely to be tall – Statisticians or lawyers? Percent of Lawyers that are tall = 10/15 Percent of Statisticians that are tall = 20/45

  5. Problem 3 Each part was worth 1 for a total of 3 • (3) Indicate whether the following are measures of variation/spread/center. • __c__ Median • __s__ Range • __v__ Standard Deviation

  6. Problem 4 Was worth 1 point • (4) Which of the following is the least effective way to graph a categorical variable? (Choose one) • ____ Pie Chart • _x___ Histogram • ____ Bar Chart

  7. Problem 5 Each part was worth 1 point for a total of 5 Left: mean < median Right: mean > median Sym: mean = median • (5) Consider the following Histogram (actual histogram of class grades so far in the semester). THERE WERE 31 OBSERVATIONS: • __5/31__ Percent of students with a failing grade (65% is the D/F cutoff point) • __5+6__ Number of students with an A (90% is the A/B cutoff point) • __(1+1+3+5+6)/31__ Percent of students with an A or an F • __Left__ Is this histogram skewed to the right (R), left (L), or symmetric (S)? • __No__ Based on your answer in part D, is the mean larger than the median?

  8. Problem 6 Each part of 5 number summary is worth 1, standard deviation calculation is worth 3; Total of 8 possible points. • (6) Give me the five number summary and calculate the standard deviation of: 35, 25, 30, 15, 10, 25, 35 • 10, 15, 25, 25, 30, 35, 35 • 10, 15, 25, 25 • 25, 30, 35, 35 • Min: 10 • Q1: (15+25)/2=20 • Q3: (30+35)/2=32.5 • Q2: 25 • Max: 35 s2=(225+100+0+0+25+100+100)/(7-1)=91.7 S=sqrt(91.7)=9.6

  9. Problem 7 Each part was worth 1 point (total of 5) (7) __2__ How many outliers are in the following box plot?_1,12___ What is the largest and the smallest value in the data?__6__ What is the median in the data?_yes___ Is Q1 the smallest non-outlier data point?_9___ What is the second largest value in the data set?

  10. Problem 8 Each part was worth 1 point (total of 2) • (8) Consider the left scatter plot (Left) and the right scatter plot (Right).___positive_ What is the direction of the first scatter plot?___.56_ One graph has a correlation of r=.85 and the other has r=.56. What is the correlation of the second graph?

  11. Problem 9 Each part was worth 1 point (total of 3) • (9) ____Stem & Leaf___________ What is the name of the graph below?_______22________ What is the mode of the graph below?_______Right________ If possible, determine the skewness of the following data

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