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 < ≤ x < ≤ x < ≤ 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

Frequency Distribution ScoresFrequencyRelative Frequency Cumulative Frequency Cumulative Relative Frequency 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

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 Frequency Score Relative Frequency Score Cumulative Frequency Score Cumulative Relative Frequency Score Scores 35

Frequency Distribution ScoresFrequencyRelative Frequency Cumulative Frequency Cumulative Relative Frequency Create 4 histograms: for frequency, relative frequency, cumulative frequency, and cumulative relative frequency. Scores will be on x-axis, frequencies on y-axis. Scores Frequency Score Relative Frequency Score Cumulative Frequency Score Cumulative Relative Frequency Score Scores 35

Frequency Distribution ScoresFrequency 60-70|||| 70-80|||| 80-90|||| |||| || ||| 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. | | | | 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.

Frequency Distributions Ages of volunteers at a hospital. AgesFrequencyRelative Frequency Cumulative Frequency Cumulative Relative Frequency Total =

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 Frequency Age Relative Frequency Age Cumulative Frequency Age Cumulative Relative Frequency Age Ages Ages of volunteers at a hospital.

Frequency Distributions Quiz scores – represents entire class. ScoresFrequencyRelative Frequency Cumulative Frequency Cumulative Relative Frequency Total =

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 Frequency Score Relative Frequency Score Cumulative Frequency Score Cumulative Relative Frequency Score Scores Quiz Scores

Frequency Distributions Height in inches – represents a sample of students from a particular school. HeightFrequencyRelative Frequency Cumulative Frequency Cumulative Relative Frequency Total =

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 Frequency Height Relative Frequency Height Cumulative Frequency Height Cumulative Relative Frequency Height Height