1. Exercise
Calculate the range for the following set of data: {1, 2, 3, 4, 5, 6, 7, 8, 9}. 8

2. Exercise
Calculate the median for the following set of data: {1, 2, 3, 4, 5, 6, 7, 8, 9}. 5

3. Exercise
Calculate the mean for the following set of data: {1, 2, 3, 4, 5, 6, 7, 8, 9}. 5

4. Exercise
Calculate the mode for the following set of data: {1, 2, 3, 4, 5, 6, 7, 8, 9}.
none

5. The median and mean, which would be 5 more.
Exercise
Which of these statistics would change if you added 5 to each piece of data?
The median and mean, which would be 5 more.

7. Frequency Distribution Table
A table used to organize a large set of data.

8. Frequency Distribution Table
Data (D)
Tally
Frequency (f)
Product (Df)

9. Data Column
The data column of the frequency distribution table contains the data arranged in numerical order.

10. Frequency Column
The frequency column of the frequency distribution table represents the number of times each number occurs (number of tallies). The number at the bottom of the column is the total number of data.

11. Product Column
The product column of the frequency distribution table is the product of the numbers in the data column (D) and the frequency column (f). The number at the bottom of the column is the sum of all data.

12. Example
Find the range, mean, median, and mode for Mrs. Koontz’s students’ test scores.

13. range: 100 – 68
= 32
mean:
product total
frequency total
2,046 24 =
≈ 85.3

14. median: twelfth score: 86 thirteenth score: 88
174 2 =
= 87
mode: 88

15. Interval Frequency Table
Age (interval)
Frequency (f)
10–19 14
20–29 10
30–39 17
40–49 8
50–59 15
60–69 12
70–79 5
80–89 2

16. Histogram
A histogram is a bar graph representing equal intervals, with no space between the bars.

17. Number of People
Age

18. Age (interval)
Midpoint (m)
Frequency (f)
Product (mf)
10–19
14.5 14
203
20–29
24.5 10
245
30–39
34.5 17
586.5
40–49
44.5 8
356
50–59
54.5 15
817.5
60–69
64.5 12
774
70–79
74.5 5
372.5
80–89
84.5 2
169
Total 83
3,523.5

19. Example
The following are a set of scores on a twenty-five-point quiz: {17, 24, 19, 22, 23, 12, 24, 25, 25, 13, 18, 22, 24, 23, 22, 20, 18}.

20. Example
The following numbers are the test scores: {60, 62, 68, 68, 69, 69, 70, 77, 78, 78, 78, 79, 79, 80, 80, 80, 81, 82, 82, 82, 83, 83, 83, 83, 83, 85, 89, 90, 91, 92, 92, 93, 93, 95, 99}.

21. Midpoint (m)
Frequency (f)
Product (mf)
Interval