2. Frequency Distribution ScoresFrequency Classes/Intervals – Determined after finding range of data. Class width is the range of each class/interval. Rule of thumb – 5 to 10 All must be equal Classes/Intervals are read as follows: 60 ≤ x < 70 70 ≤ x < 80 80 ≤ x < 90 90 ≤ x < 100 Class limits – the upper and lower value in each interval: 60, 70, 80, 90, & 100 Class marks – midpoint of the classes: 65, 75, 85, 95 Frequency – The number of times the score occurred in the data set. Relative Frequency – The ratio of data within the class to all the data. Cumulative Frequency – The sum of the frequency for a particular class and all previous classes. Cumulative Relative Frequency – The ratio of the cumulative frequency of a class to all the data. 636569646662 666467707573 727477797871 768189878684 838588828887 959399 60-70 70-80 80-90 90-100 9 10 12 3

3. Frequency Distribution ScoresFrequencyRelative Frequency Cumulative Frequency Cumulative Relative Frequency 60-709 70-8010 80-9012 90-1003 Relative Frequency The ratio of data within the class to all the data. Cumulative Frequency The sum of the frequency for a particular class and all previous classes. Cumulative Relative Frequency The ratio of the cumulative frequency of a class to all the data. 9 19 31 34

4. Frequency Distribution Histograms Create 4 histograms: for frequency, relative frequency, cumulative frequency, and cumulative relative frequency. Scores will be on x-axis, frequencies on y-axis. Scores 60- 70 70- 80 80- 90 90- 100 2 6 8 10 12 4 Frequency Score 60- 70 70- 80 80- 90 90- 100.10.30.40.50.60.20 Relative Frequency Score 60- 70 70- 80 80- 90 90- 100 5 15 20 25 30 10 Cumulative Frequency Score 60- 70 70- 80 80- 90 90- 100.2.6.8 1.0.4 Cumulative Relative Frequency Score Scores 35

5. Frequency Distribution ScoresFrequencyRelative Frequency Cumulative Frequency Cumulative Relative Frequency 60-7099 70-801019 80-901231 90-100334 Create 4 histograms: for frequency, relative frequency, cumulative frequency, and cumulative relative frequency. Scores will be on x-axis, frequencies on y-axis. Scores 60- 70 70- 80 80- 90 90- 100 2 6 8 10 12 4 Frequency Score 60- 70 70- 80 80- 90 90- 100.10.30.40.50.60.20 Relative Frequency Score 60- 70 70- 80 80- 90 90- 100 5 15 20 25 30 10 Cumulative Frequency Score 60- 70 70- 80 80- 90 90- 100.2.6.8 1.0.4 Cumulative Relative Frequency Score Scores 35

6. Frequency Distribution ScoresFrequency 60-70|||| 70-80|||| 80-90|||| |||| || 90-100||| 636569646662 666467707573 727477797871 768189878684 838588828887 959399 A dot plot is one way to show the frequencies graphically. Simply place a dot to represent each piece of data above the corresponding class/interval. | | | | 60-7070-8080-9090-100 A tally chart is another way to show the frequencies. Simply place a line to represent each piece of data next to the corresponding class/interval.

8. Frequency Distributions 252018264234 38562930 40 502821381920 18 Ages of volunteers at a hospital. AgesFrequencyRelative Frequency Cumulative Frequency Cumulative Relative Frequency 10-20 20-30 30-40 40-50 50-60 4 7 5 2 2 Total = 20 4 16 11 18 20

9. Frequency Distribution Histograms Create 4 histograms: for frequency, relative frequency, cumulative frequency, and cumulative relative frequency. Scores will be on x-axis, frequencies on y-axis. Ages 10- 20 20- 30 30- 40 40- 50 2 6 8 10 12 4 Frequency Age.10.30.40.50.60.20 Relative Frequency Age 4 12 16 20 24 8 Cumulative Frequency Age.2.6.8 1.0.4 Cumulative Relative Frequency Age Ages 28 50- 60 10- 20 20- 30 30- 40 40- 50 50- 60 10- 20 20- 30 30- 40 40- 50 50- 60 10- 20 20- 30 30- 40 40- 50 50- 60 Ages of volunteers at a hospital.

10. Frequency Distributions 7.589.59910 575.56109.5 78.5289.59 7.553.56.5810 Quiz scores – represents entire class. ScoresFrequencyRelative Frequency Cumulative Frequency Cumulative Relative Frequency 1-3 3-5 5-7 7-9 9-11 1 1 5 8 9 Total = 24 1 2 7 15 24

11. Frequency Distribution Histograms Create 4 histograms: for frequency, relative frequency, cumulative frequency, and cumulative relative frequency. Scores will be on x-axis, frequencies on y-axis. Scores 1-33-55-77-9 2 6 8 10 12 4 Frequency Score.10.30.40.50.60.20 Relative Frequency Score 4 12 16 20 24 8 Cumulative Frequency Score.2.6.8 1.0.4 Cumulative Relative Frequency Score Scores 28 9-11 Quiz Scores 1-33-55-77-9 9-111-33-55-77-9 9-11 1-33-55-77-9 9-11

12. Frequency Distributions 606162668168 606672 6368 707160776665 Height in inches – represents a sample of students from a particular school. HeightFrequencyRelative Frequency Cumulative Frequency Cumulative Relative Frequency 60-65 65-70 70-75 75-80 80-85 6 6 4 1 1 Total = 18 6 12 16 18 17

13. Frequency Distribution Histograms Create 4 histograms: for frequency, relative frequency, cumulative frequency, and cumulative relative frequency. Scores will be on x-axis, frequencies on y-axis. Height 60- 65 65- 70 70- 75 75- 80 2 6 8 10 12 4 Frequency Height.10.30.40.50.60.20 Relative Frequency Height 4 12 16 20 24 8 Cumulative Frequency Height.2.6.8 1.0.4 Cumulative Relative Frequency Height 28 80- 85 Height 60- 65 65- 70 70- 75 75- 80 80- 85 60- 65 65- 70 70- 75 75- 80 80- 85 60- 65 65- 70 70- 75 75- 80 80- 85