1. Intro Stats Lesson 2.1 B Objective: SSBAT construct an expanded frequency distribution chart. Standards: S2.5B

2. Expanded Frequency Distribution  Adds 3 more columns to the frequency distribution from yesterday - Midpoints, Relative Frequency, and Cumulative Frequency  These 3 columns will help to provide a better understanding of the data

5. Cumulative Frequency  The sum of the Frequency for that class and all previous class frequencies

7. 1.Find the Midpoints, Relative Frequency and Cumulative Frequency for the following. ClassTallyFrequency (f) MidpointRelative Frequency Cumulative Frequency 2 – 7 lllllll 7 8 – 13 lllllllllll 11 14 – 19 lllllll 7 20 – 25 lllllll 7 26 – 31 llll 4 Σf = 36

9. ClassTallyFrequency (f) MidpointRelative Frequency Cumulative Frequency 2 – 7 lllllll 74.5 8 – 13 lllllllllll 1110.5 14 – 19 lllllll 716.5 20 – 25 lllllll 722.5 26 – 31 llll 428.5 Σf = 36 Problem 1 continued.

10. ClassTallyFrequency (f) MidpointRelative Frequency Cumulative Frequency 2 – 7 lllllll 74.5 8 – 13 lllllllllll 1110.5 14 – 19 lllllll 716.5 20 – 25 lllllll 722.5 26 – 31 llll 428.5 Σf = 36.19.31.19.11 Problem 1 continued.

11. Cumulative Frequency  The sum of the Frequency for that class and all previous classes ClassTallyFrequency (f) MidpointRelative Frequency Cumulative Frequency 2 – 7 lllllll 74.5.19 8 – 13 lllllllllll 1110.5.31 14 – 19 lllllll 716.5.19 20 – 25 lllllll 722.5.19 26 – 31 llll 428.5.11 Σf = 36 7 18 25 32 36 Problem 1 continued.

13. 2. Find the Midpoints, Relative Frequency and Cumulative Frequency for the following. ClassFrequencyMidpoint Relative Frequency Cumulative Frequency 7 – 186 19 – 3010 31 – 4213 43 – 548 55 – 665 67 – 786 79 – 902 ∑f = 50 12.5 24.5 36.5 48.5 60.5 72.5 84.5

14. 2. Relative Frequency  Frequency ÷ Total # ClassFrequencyMidpoint Relative Frequency Cumulative Frequency 7 – 186 19 – 3010 31 – 4213 43 – 548 55 – 665 67 – 786 79 – 902 ∑f = 50 12.5 24.5 36.5 48.5 60.5 72.5 84.5.12.2.26.16.1.12.04

15. 2. Cumulative Frequency  Class Frequency + Above Frequencies ClassFrequencyMidpoint Relative Frequency Cumulative Frequency 7 – 186 19 – 3010 31 – 4213 43 – 548 55 – 665 67 – 786 79 – 902 ∑f = 50 12.5 24.5 36.5 48.5 60.5 72.5 84.5.12.2.26.16.1.12.04 6 16 29 37 42 48 50

16.  Example Three is worksheet 2.1 B

17. ClassFrequencyMidpoint Relative Frequency Cumulative Frequency 1 – 55 6 – 108 11 – 154 16 – 207 21 – 256 26 – 304 ∑f = 34 4. Find the Midpoints, Relative Frequency and Cumulative Frequency for the following.

18. 4. Answers to #3 ClassFrequencyMidpoint Relative Frequency Cumulative Frequency 1 – 55 3.15 5 6 – 108 8.24 13 11 – 154 13.12 17 16 – 207 18.21 24 21 – 256 23.18 30 26 – 304 28.12 34 ∑f = 34

19. Homework Worksheet 2.1 B