Create a histogram showing the distribution of marks and study hours. Find the 5-number summary of the distribution of marks and study hours. Comment on the shape of the distribution: is it symmetrical? If it is not, is it positively or negatively skewed? Are there any outliers present? If so, are they of particular interest?
A lecturer at college wanted to know if he can predict student’s quiz results by asking them to
complete a simple survey. The result of the survey is given below:
| Quiz Results | EQR | Study Hrs | Age | Sex | BBT | MB | MC | AuHS | LM |
| 15 | 10 | 3 | 19 | 0 | 0 | 1 | 1 | 0 | 1 |
| 14 | 15 | 4 | 24 | 0 | 0 | 1 | 0 | 0 | 1 |
| 9 | 15 | 1 | 20 | 0 | 10 | 1 | 0 | 0 | 1 |
| 6 | 10 | 3 | 21 | 0 | 0 | 1 | 1 | 0 | 1 |
| 14 | 15 | 4 | 21 | 0 | 9 | 1 | 0 | 0 | 1 |
| 12 | 10 | 6 | 21 | 0 | 2 | 0 | 1 | 0 | 1 |
| 12 | 13 | 2 | 21 | 1 | 8 | 1 | 0 | 0 | 0 |
| 15 | 15 | 0 | 20 | 0 | 8 | 1 | 0 | 0 | 1 |
| 12 | 15 | 3 | 20 | 0 | 10 | 1 | 0 | 0 | 1 |
| 13 | 15 | 0.2 | 19 | 0 | 8 | 1 | 0 | 0 | 1 |
| 15 | 15 | 2 | 20 | 0 | 6 | 1 | 0 | 1 | 1 |
| 12 | 14 | 5 | 20 | 0 | 5 | 1 | 1 | 1 | 1 |
| 14 | 15 | 7 | 22 | 0 | 8 | 0 | 0 | 0 | 0 |
| 7 | 7 | 10 | 21 | 1 | 7 | 0 | 0 | 1 | 0 |
| 11 | 15 | 5 | 24 | 0 | 0 | 1 | 0 | 0 | 1 |
| 10 | 10 | 3 | 22 | 1 | 0 | 1 | 0 | 0 | 1 |
| 13 | 11 | 3 | 23 | 1 | 1 | 1 | 1 | 1 | 1 |
| 13 | 15 | 2 | 22 | 1 | 8 | 0 | 0 | 0 | 0 |
| 13 | 12 | 4 | 20 | 1 | 7 | 1 | 0 | 1 | 0 |
| 13 | 10 | 3 | 20 | 1 | 0 | 1 | 0 | 0 | 1 |
| 8 | 13 | 5 | 20 | 1 | 8 | 0 | 0 | 0 | 0 |
| 12 | 13 | 5 | 22 | 0 | 5 | 0 | 0 | 0 | 1 |
| 13 | 15 | 8 | 22 | 0 | 5 | 0 | 1 | 0 | 1 |
| 10 | 13 | 4 | 23 | 1 | 7 | 1 | 0 | 0 | 1 |
| 13 | 13 | 0.5 | 20 | 1 | 0 | 0 | 0 | 0 | 0 |
| 12 | 13 | 0.5 | 20 | 1 | 0 | 1 | 0 | 0 | 0 |
| 15 | 15 | 2 | 21 | 0 | 10 | 1 | 0 | 0 | 1 |
| 10 | 13 | 6 | 22 | 0 | 6 | 1 | 1 | 0 | 1 |
| 11 | 8 | 5 | 20 | 0 | 10 | 0 | 0 | 1 | 0 |
| 12 | 10 | 4 | 19 | 1 | 0 | 1 | 0 | 0 | 1 |
| 8 | 5 | 2 | 20 | 1 | 0 | 1 | 0 | 1 | 0 |
| 11 | 13 | 6 | 20 | 1 | 7.5 | 1 | 1 | 1 | 1 |
| 10 | 3 | 12 | 21 | 0 | 4 | 1 | 0 | 1 | 0 |
| 8 | 11 | 2 | 19 | 0 | 0 | 1 | 0 | 0 | 1 |
| 15 | 15 | 3 | 23 | 1 | 2 | 1 | 0 | 0 | 1 |
| 11 | 14 | 1 | 23 | 0 | 10 | 1 | 1 | 1 | 1 |
| 13 | 14 | 4 | 21 | 1 | 8 | 1 | 0 | 1 | 1 |
| 9 | 15 | 3 | 22 | 0 | 5 | 1 | 0 | 0 | 0 |
| 13 | 14 | 4 | 21 | 0 | 9 | 1 | 0 | 0 | 1 |
| 13 | 15 | 4 | 20 | 0 | 5 | 1 | 0 | 0 | 1 |
| 11 | 13 | 5 | 20 | 1 | 8 | 0 | 0 | 0 | 0 |
| 7 | 10 | 3 | 24 | 1 | 5 | 1 | 0 | 1 | 1 |
| 14 | 15 | 3 | 20 | 0 | 6 | 1 | 0 | 0 | 1 |
| 13 | 15 | 3 | 20 | 0 | 8 | 0 | 0 | 0 | 0 |
| 8 | 12 | 0.5 | 22 | 1 | 2 | 1 | 1 | 0 | 1 |
| 8 | 10 | 4 | 19 | 1 | 7 | 0 | 0 | 1 | 1 |
| 15 | 15 | 3 | 20 | 0 | 7 | 1 | 0 | 0 | 1 |
| 14 | 14 | 3 | 19 | 0 | 8 | 1 | 0 | 0 | 1 |
| 7 | 10 | 3 | 21 | 1 | 0 | 0 | 0 | 1 | 0 |
| 11 | 13 | 2 | 21 | 0 | 7 | 1 | 1 | 0 | 1 |
| 14 | 15 | 6 | 22 | 0 | 6 | 1 | 0 | 0 | 1 |
| 9 | 12 | 3 | 21 | 1 | 0 | 1 | 0 | 0 | 1 |
| 14 | 15 | 2 | 22 | 0 | 5 | 1 | 0 | 0 | 1 |
| 9 | 8 | 4 | 21 | 0 | 7 | 1 | 0 | 1 | 1 |
| 15 | 15 | 7 | 20 | 0 | 6 | 1 | 0 | 0 | 1 |
| 13 | 14 | 3 | 23 | 1 | 4 | 0 | 1 | 0 | 0 |
| 14 | 15 | 5 | 21 | 0 | 5 | 1 | 0 | 0 | 1 |
| 12 | 13 | 5 | 19 | 1 | 6 | 1 | 0 | 0 | 0 |
| 14 | 12 | 2 | 22 | 1 | 10 | 1 | 0 | 0 | 1 |
| 14 | 13 | 2 | 22 | 0 | 10 | 1 | 0 | 0 | 0 |
| 11 | 12 | 3 | 22 | 0 | 8 | 1 | 0 | 1 | 1 |
| 4 | 1 | 9 | 30 | 0 | 10 | 1 | 0 | 1 | 1 |
| 14 | 15 | 3 | 21 | 1 | 8 | 1 | 0 | 0 | 1 |
| 15 | 15 | 3 | 20 | 0 | 0 | 0 | 0 | 0 | 0 |
| 13 | 15 | 3 | 19 | 1 | 7 | 1 | 0 | 0 | 1 |
| 14 | 15 | 2 | 21 | 1 | 6 | 1 | 0 | 0 | 1 |
| 8 | 5 | 3 | 20 | 0 | 0 | 1 | 0 | 1 | 1 |
| 7 | 10 | 9 | 21 | 1 | 0 | 1 | 1 | 0 | 1 |
| 12 | 14 | 4 | 20 | 0 | 0 | 1 | 0 | 0 | 0 |
| 6 | 8 | 4 | 21 | 0 | 1 | 1 | 1 | 0 | 0 |
| 9 | 10 | 5 | 20 | 0 | 2 | 0 | 0 | 1 | 0 |
| 10 | 13 | 2 | 20 | 1 | 6 | 1 | 1 | 1 | 0 |
| 10 | 12 | 1 | 25 | 1 | 5 | 1 | 0 | 1 | 1 |
| 13 | 15 | 2 | 21 | 1 | 3 | 1 | 0 | 0 | 1 |
| 9 | 8 | 1 | 29 | 0 | 0 | 0 | 1 | 0 | 0 |
| 12 | 13 | 2 | 19 | 0 | 0 | 1 | 0 | 0 | 1 |
| 12 | 15 | 3 | 20 | 0 | 0 | 1 | 0 | 0 | 1 |
| 14 | 12 | 7 | 19 | 0 | 3 | 1 | 0 | 1 | 1 |
| 8 | 7 | 1 | 19 | 1 | 0 | 0 | 1 | 0 | 0 |
| 14 | 12 | 1 | 23 | 1 | 6 | 1 | 0 | 1 | 1 |
| 11 | 9 | 3 | 20 | 1 | 5 | 0 | 1 | 1 | 1 |
| 13 | 15 | 2 | 21 | 1 | 0 | 1 | 0 | 0 | 1 |
| 14 | 11 | 2 | 19 | 1 | 9 | 0 | 0 | 0 | 0 |
| 11 | 14 | 4 | 22 | 1 | 10 | 0 | 0 | 0 | 1 |
| 10 | 8 | 5 | 20 | 1 | 5 | 0 | 0 | 1 | 1 |
| 11 | 13 | 1 | 22 | 1 | 2 | 0 | 0 | 0 | 0 |
| 14 | 15 | 0.5 | 20 | 0 | 8 | 1 | 0 | 0 | 0 |
| 12 | 14 | 15 | 23 | 0 | 0 | 1 | 1 | 0 | 1 |
| 10 | 12 | 4 | 19 | 1 | 0 | 0 | 1 | 1 | 1 |
| 14 | 12 | 0 | 20 | 1 | 3 | 1 | 0 | 1 | 1 |
| 13 | 10 | 2 | 19 | 1 | 0 | 1 | 0 | 1 | 0 |
| 15 | 12 | 2 | 20 | 1 | 3 | 1 | 0 | 1 | 1 |
| 8 | 10 | 3 | 19 | 1 | 1 | 1 | 0 | 1 | 1 |
| 14 | 12 | 5 | 21 | 0 | 0 | 1 | 0 | 0 | 1 |
| 6 | 10 | 2 | 21 | 1 | 8 | 1 | 0 | 0 | 1 |
| 8 | 8 | 2 | 21 | 1 | 1 | 1 | 0 | 1 | 1 |
| 12 | 10 | 2 | 20 | 0 | 7 | 1 | 0 | 1 | 1 |
| 9 | 6 | 3 | 20 | 0 | 1 | 1 | 1 | 1 | 1 |
| 7 | 8 | 4 | 19 | 1 | 9 | 1 | 1 | 1 | 0 |
| 13 | 11 | 6 | 19 | 1 | 6 | 1 | 0 | 0 | 1 |
| 13 | 10 | 2 | 25 | 1 | 0 | 1 | 0 | 0 | 1 |
| 14 | 14 | 2 | 25 | 1 | 5 | 1 | 0 | 0 | 0 |
Quiz Result Actual Mark (0-15) for quiz student attained
EQR Quiz score (0-15) expected to get before taking the quiz
Study Hrs. Number of hours per week (on average) spent studying for Statistics
Age Age (in years)
BBT Satisfaction rating of Big Bang Theory
Sex M=1 F=0
MB MB=1 for good math background, otherwise 0
MC MC= 1 if math centre is used regularly, otherwise 0
AuHS AuHS = 1 if student completed high school in Australia, otherwise 0
LM LM=1 if student likes math, 0 otherwise
Task 2: Histogram
Create a histogram showing the distribution of marks and study hours. Find the 5-number
summary of the distribution of marks and study hours. Comment on the shape of the
distribution: is it symmetrical? If it is not, is it positively or negatively skewed? Are there any
outliers present? If so, are they of particular interest?
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