HISTOGRAMS AND OGIVES A histogram is a visual display of a frequency table. In these graphs we will use bars to represent the frequency of each class.

HISTOGRAMS AND OGIVES A histogram is a visual display of a frequency table. In these graphs we will use bars to represent the frequency of each class. The only new thing we have to figure out is the class boundaries. They are basically 0.5 below and above each classes lower and upper limit.

HISTOGRAMS AND OGIVES The frequency table below represents final grades in an Algebra 2 class. Class LimitsTallyFrequency Class Midpoint Relative Frequency Class Boundaries 50 – 59I – 69IIII – 79IIIII III – 89IIIII IIIII IIIII I IIIII IIII

HISTOGRAMS AND OGIVES The frequency table below represents final grades in an Algebra 2 class. Class LimitsTallyFrequency Class Midpoint Relative Frequency Class Boundaries 50 – 59I – 69IIII – 79IIIII III – 89IIIII IIIII IIIII I IIIII IIII To create the class boundaries, simply go 0.5 below and above each class limit…

HISTOGRAMS AND OGIVES The frequency table below represents final grades in an Algebra 2 class. Class LimitsTallyFrequency Class Midpoint Relative Frequency Class Boundaries 50 – 59I – – 69IIII – – 79IIIII III – – 89IIIII IIIII IIIII I – IIIII IIII – 99.5 To create the class boundaries, simply go 0.5 below and above each class limit…

HISTOGRAMS AND OGIVES Class LimitsTallyFrequency Class Midpoint Relative Frequency Class Boundaries 50 – 59I – – 69IIII – – 79IIIII III – – 89IIIII IIIII IIIII I – IIIII IIII – 99.5 Next we create a bar graph with our x – axis as the class boundaries, and the y – axis as the frequency Frequency Grade Averages

HISTOGRAMS AND OGIVES Class LimitsTallyFrequency Class Midpoint Relative Frequency Class Boundaries 50 – 59I – – 69IIII – – 79IIIII III – – 89IIIII IIIII IIIII I – IIIII IIII – 99.5 Next we create a bar graph with our x – axis as the class boundaries, and the y – axis as the frequency Frequency Grade Averages Now we place bars for each class boundary as high as the frequency found on our table…

HISTOGRAMS AND OGIVES Class LimitsTallyFrequency Class Midpoint Relative Frequency Class Boundaries 50 – 59I – – 69IIII – – 79IIIII III – – 89IIIII IIIII IIIII I – IIIII IIII – 99.5 Next we create a bar graph with our x – axis as the class boundaries, and the y – axis as the frequency Frequency Grade Averages Now we place bars for each class boundary as high as the frequency found on our table… 1

HISTOGRAMS AND OGIVES Class LimitsTallyFrequency Class Midpoint Relative Frequency Class Boundaries 50 – 59I – – 69IIII – – 79IIIII III – – 89IIIII IIIII IIIII I – IIIII IIII – 99.5 Next we create a bar graph with our x – axis as the class boundaries, and the y – axis as the frequency Frequency Grade Averages Now we place bars for each class boundary as high as the frequency found on our table… 1 4

HISTOGRAMS AND OGIVES Class LimitsTallyFrequency Class Midpoint Relative Frequency Class Boundaries 50 – 59I – – 69IIII – – 79IIIII III – – 89IIIII IIIII IIIII I – IIIII IIII – 99.5 Next we create a bar graph with our x – axis as the class boundaries, and the y – axis as the frequency Frequency Grade Averages Now we place bars for each class boundary as high as the frequency found on our table… 1 4 8

HISTOGRAMS AND OGIVES Class LimitsTallyFrequency Class Midpoint Relative Frequency Class Boundaries 50 – 59I – – 69IIII – – 79IIIII III – – 89IIIII IIIII IIIII I – IIIII IIII – 99.5 Next we create a bar graph with our x – axis as the class boundaries, and the y – axis as the frequency Frequency Grade Averages

HISTOGRAMS AND OGIVES Class LimitsTallyFrequency Class Midpoint Relative Frequency Class Boundaries 50 – 59I – – 69IIII – – 79IIIII III – – 89IIIII IIIII IIIII I – IIIII IIII – 99.5 Next we create a bar graph with our x – axis as the class boundaries, and the y – axis as the frequency Frequency Grade Averages

HISTOGRAMS AND OGIVES Class LimitsTallyFrequency Class Midpoint Relative Frequency Class Boundaries 50 – 59I – – 69IIII – – 79IIIII III – – 89IIIII IIIII IIIII I – IIIII IIII – 99.5 We could change this to a relative frequency histogram by merely changing the y – axis label to relative frequency… Relative Frequency Grade Averages

HISTOGRAMS AND OGIVES A cumulative frequency table keeps a running total of the frequencies as you move down the table.

HISTOGRAMS AND OGIVES A cumulative frequency table keeps a running total of the frequencies as you move down the table. For example, the frequency table shown represents the temperatures (F°) during a season of skiing in Aspen, Colorado. Class BoundariesFrequencyCumulative Frequency 10.5 – – – – – 60.57

HISTOGRAMS AND OGIVES A cumulative frequency table keeps a running total of the frequencies as you move down the table. For example, the frequency table shown represents the temperatures (F°) during a season of skiing in Aspen, Colorado. The first block of our chart under cumulative frequency will always be the number in the first frequency block… Class BoundariesFrequencyCumulative Frequency 10.5 – – – – – 60.57

HISTOGRAMS AND OGIVES A cumulative frequency table keeps a running total of the frequencies as you move down the table. For example, the frequency table shown represents the temperatures (F°) during a season of skiing in Aspen, Colorado. The first block of our chart under cumulative frequency will always be the number in the first frequency block… Now we add in each frequency of the next block… Class BoundariesFrequencyCumulative Frequency 10.5 – – – – – 60.57

HISTOGRAMS AND OGIVES A cumulative frequency table keeps a running total of the frequencies as you move down the table. For example, the frequency table shown represents the temperatures (F°) during a season of skiing in Aspen, Colorado. The first block of our chart under cumulative frequency will always be the number in the first frequency block… Now we add in each frequency of the next block… Class BoundariesFrequencyCumulative Frequency 10.5 – – – – – 60.57

HISTOGRAMS AND OGIVES A cumulative frequency table keeps a running total of the frequencies as you move down the table. For example, the frequency table shown represents the temperatures (F°) during a season of skiing in Aspen, Colorado. The first block of our chart under cumulative frequency will always be the number in the first frequency block… Now we add in each frequency of the next block… Class BoundariesFrequencyCumulative Frequency 10.5 – – – – – 60.57

HISTOGRAMS AND OGIVES A cumulative frequency table keeps a running total of the frequencies as you move down the table. For example, the frequency table shown represents the temperatures (F°) during a season of skiing in Aspen, Colorado. The first block of our chart under cumulative frequency will always be the number in the first frequency block… Now we add in each frequency of the next block… Class BoundariesFrequencyCumulative Frequency 10.5 – – – – – 60.57

HISTOGRAMS AND OGIVES A cumulative frequency table keeps a running total of the frequencies as you move down the table. For example, the frequency table shown represents the temperatures (F°) during a season of skiing in Aspen, Colorado. The first block of our chart under cumulative frequency will always be the number in the first frequency block… Now we add in each frequency of the next block… Class BoundariesFrequencyCumulative Frequency 10.5 – – – – – 60.57

HISTOGRAMS AND OGIVES An ogive is the graph of the cumulative frequencies… Class BoundariesFrequency Cumulative Frequency 10.5 – – – – – 60.57

HISTOGRAMS AND OGIVES An ogive is the graph of the cumulative frequencies… Class BoundariesFrequency Cumulative Frequency 10.5 – – – – – Start by setting up your x and y – axis… Class Boundaries Cumulative Frequency

HISTOGRAMS AND OGIVES An ogive is the graph of the cumulative frequencies… Class BoundariesFrequency Cumulative Frequency 10.5 – – – – – Start by setting up your x and y – axis… Place a dot at the smallest class boundary at zero… Class Boundaries Cumulative Frequency

HISTOGRAMS AND OGIVES An ogive is the graph of the cumulative frequencies… Class BoundariesFrequency Cumulative Frequency 10.5 – – – – – Now place dots for each cumulative frequency on the next class boundary Class Boundaries Cumulative Frequency

HISTOGRAMS AND OGIVES An ogive is the graph of the cumulative frequencies… Class BoundariesFrequency Cumulative Frequency 10.5 – – – – – Now place dots for each cumulative frequency on the next class boundary Class Boundaries Cumulative Frequency

HISTOGRAMS AND OGIVES An ogive is the graph of the cumulative frequencies… Class BoundariesFrequency Cumulative Frequency 10.5 – – – – – Class Boundaries Cumulative Frequency

HISTOGRAMS AND OGIVES An ogive is the graph of the cumulative frequencies… Class BoundariesFrequency Cumulative Frequency 10.5 – – – – – Class Boundaries Cumulative Frequency

HISTOGRAMS AND OGIVES An ogive is the graph of the cumulative frequencies… Class BoundariesFrequency Cumulative Frequency 10.5 – – – – – Class Boundaries Cumulative Frequency

HISTOGRAMS AND OGIVES An ogive is the graph of the cumulative frequencies… Class BoundariesFrequency Cumulative Frequency 10.5 – – – – – Class Boundaries Cumulative Frequency Connect the data points…