1. FREQUENCY TABLES, LINE PLOTS, & HISTOGRAMS

2. TERMS Frequency  number of times that something happens **The key here is that frequency is always about the NUMBER of times Frequency table  a table that shows the frequencies of items

3. EXAMPLE 1 A number cube was rolled 20 times. The results were: Make a frequency table of this data. 26563 41165 44132 32253

4. EXAMPLE 1 26563 41665 44132 32253 NumberTallyFrequency 1 II2 2IIII4 3 4 4III3 5 3 6IIII4

5. LINE PLOT To make a line plot: 1.Draw a number line that includes all the values (in example 1 this was 1,2,3,4,5,6) 2. Place an “X” above each number to indicate the number of times it occurs.

6. NumberTallyFrequency 1 II2 2IIII4 3 4 4III3 5 3 6IIII4 1 2 3 4 5 6 XXXX XXXXXXXX XXXXXXXX XXXXXX XXXXXX XXXXXXXX

7. HISTOGRAM A graph that shows the frequencies of the data **Looks like a bar graph.

8. EXAMPLE 2 The number incorrect on the latest quiz in Mr. Marvel’s algebra class 41 10 5 2 2 1 1 9 1 7 0 2 3 3 1 0 4 8 4

9. EXAMPLE 2 41 10 5 2 2 1 1 9 1 70 2 3 3 1 0 4 8 4 1.Decide on an interval size (starts with 0 goes to 10)Interval size: 2

10. EXAMPLE 2 41 10 5 2 2 1 1 9 1 70 2 3 3 1 0 4 8 4 1.Decide on an interval size (starts with 0 goes to 10)Interval size: 2 2. Make a frequency table

11. EXAMPLE 2 Number Incorrect TallyFrequency 0 – 1IIII II7 2 – 3IIII5 4 – 5IIII4 6 – 7I1 8 – 9II2 10 - 11I1 4 1 10 5 2 2 1 1 9 1 7 0 2 3 3 1 0 4 8 4

12. Number Incorrect TallyFrequency 0 – 1IIII II7 2 – 3IIII5 4 – 5IIII4 6 – 7I1 8 – 9II2 10 - 11I1 5 0 – 1 2 – 3 4 – 5 6 – 7 8 – 9 10 - 11 Number Incorrect Frequency Frequency for the Number Incorrect

13. Number Incorrect TallyFrequency 0 – 1IIII II7 2 – 3IIII5 4 – 5IIII4 6 – 7I1 8 – 9II2 10 - 11I1 5 0 – 1 2 – 3 4 – 5 6 – 7 8 – 9 10 - 11 Number Incorrect Frequency Frequency for the Number Incorrect

14. Number Incorrect TallyFrequency 0 – 1IIII II7 2 – 3IIII5 4 – 5IIII4 6 – 7I1 8 – 9II2 10 - 11I1 5 0 – 1 2 – 3 4 – 5 6 – 7 8 – 9 10 - 11 Number Incorrect Frequency Frequency for the Number Incorrect

15. Number Incorrect TallyFrequency 0 – 1IIII II7 2 – 3IIII5 4 – 5IIII4 6 – 7I1 8 – 9II2 10 - 11I1 5 0 – 1 2 – 3 4 – 5 6 – 7 8 – 9 10 - 11 Number Incorrect Frequency Frequency for the Number Incorrect

16. Number Incorrect TallyFrequency 0 – 1IIII II7 2 – 3IIII5 4 – 5IIII4 6 – 7I1 8 – 9II2 10 - 11I1 5 0 – 1 2 – 3 4 – 5 6 – 7 8 – 9 10 - 11 Number Incorrect Frequency Frequency for the Number Incorrect

17. Number Incorrect TallyFrequency 0 – 1IIII II7 2 – 3IIII5 4 – 5IIII4 6 – 7I1 8 – 9II2 10 - 11I1 5 0 – 1 2 – 3 4 – 5 6 – 7 8 – 9 10 - 11 Number Incorrect Frequency Frequency for the Number Incorrect

18. Number Incorrect TallyFrequency 0 – 1IIII II7 2 – 3IIII5 4 – 5IIII4 6 – 7I1 8 – 9II2 10 - 11I1 5 0 – 1 2 – 3 4 – 5 6 – 7 8 – 9 10 - 11 Number Incorrect Frequency Frequency for the Number Incorrect

19. Assignment 12.1: 1 – 17, 20 - 23