1. Math 10, Spring 2019 Introductory Statistics
Lecture 2
Summarizing the Distribution
of a list of numbers

2. List of numbers Final exam scores Math 13, winter ’17 75 students52 47 96 62 42 53 76 41 80 51 70 66 81 71 82 79 49 83 73 89 78 65 56 68 95 58 72 74 63 90 23 44 91 85 30 54 48 69 87 40 77 75 36 88 55
Final exam scores
Math 13, winter ’17
75 students
Score out of 96

3. Summary: Table Class intervals: 0-16, 16-32, etc. Endpoint convention:
Range of scores
Frequency
0-16
16-32 2
32-48 10
48-64 20
64-80 27
80-96 16
Total 75
Class intervals: 0-16, 16-32, etc.
Endpoint convention:
Right endpoint included in interval

4. Summary: Histogram

5. “Drastic” Summary: Statistics
Average: 65.4
Standard Deviation: 18.5

6. Distribution: Table

7. Distribution: Histogram

8. Histogram for discrete variable

9. Average as useful summary
Age-specific average heights
for men and women age 18-74
in HANES sample.

10. Average in Histogram

11. Are mean and SD useful?

12. SD versus quartiles
Average: 65.4
SD: 18.5
Median: 69
Q1: 53
Q3: 79