For the following data score represents the test score, prep_time represents the preparation time (in hours) and attend represents if a person attended the lectures.

score prep_time attend
1 0 none
5 5 some
10 10 all
9 14 all
4 3 some
7 5 all
11 14 all
8 8 all
3 6 some
2 5 none
  1. Draw a histogram for score using cutoffs 0,3,6,9,12.

  2. What is the score range?

  3. What are the means and standard deviations of score and prep_time?

  4. You got 13 score on the test. Find z-score.

  5. If the histogram was symmetric and bell-shaped, would it be a good z-score?

  6. Draw score vs prep_time scatteplot. Do you think there is a relationship?

  7. What is the correlation between score and prep_time? Does this confirm your scatterplot findings.

  8. Compute the distribution table (relative frequencies) for the attend variable.

  9. Draw a stacked diagram for attend.

  10. Find the average value of score and prep_time for each category of attend. (Try to interpret these values :)