A histogram is a graphical representation of frequencies of a variable. The variable range is equally divided and is scaled on the x axis and is continuous. The frequencies of the variable in each range is plotted on the y-axis and a rectangle is drawn for each interval with the height of the rectangle equal to the frequency of the range and the width representing the range. The width of the rectangles in each range will be equal since total range is equally divided into intervals. The walls of adjacent intervals share the same line.The height of the histogram make the interpretation of the frequencies of each interval easier compared to a tabular representation. The more the height of the rectangle in an interval the more is the frequency within the interval.
Title:
The title section in the histogram briefly explains the information about the variable that is used in the graph.
Bars:
The bars are explained by thier height and width. The height represents the frequency of observations falling into the interval. The width represents the interval.
Legend:
The legend provides extra information about the relation to the documents where the data came from and how the dimensions were gathered.
Horizontal X-Axis:
The horizontal X-axis provide the scale value, which represent the dimension that fit into the data. These dimensions were usually recognized to the periods. Plot the horizontal X-axis points with in the bar chart which respect the values of Vertical Y-axis.The dimension determine the interval to be fixed.
Vertical Y-Axis:
The vertical Y axis represent the scale of frequencies and is optimized to represent the data on the graph. The units are acquiesced and is linear starting from zero.
The scale should be supposed to have all the data values. The scale divides the range into equal parts.
Steps to construct histograms:
Histogram calculation - Problem 1:
Calculate the histogram for the given data.
5 10 15 20 25 30 35 40 45 50 55 60
2 4 7 10 5 7 7 4 4 10 7 9
Histogram calculation - Problem 2:
calculate the histogram for the following given data.
100-200 200-300 300-400 400-500 500-600 600-700
45 34 89 23 67 98
Histogram calculation - Problem 3:
calculate the histogram for the given data set.
1 2 3 4 5 6 7 8 9 10
7 3 32 56 15 4 78 34 45 56
Parts of Histogram:
Title:
The title section in the histogram briefly explains the information about the variable that is used in the graph.
Bars:
The bars are explained by thier height and width. The height represents the frequency of observations falling into the interval. The width represents the interval.
Legend:
The legend provides extra information about the relation to the documents where the data came from and how the dimensions were gathered.
Horizontal X-Axis:
The horizontal X-axis provide the scale value, which represent the dimension that fit into the data. These dimensions were usually recognized to the periods. Plot the horizontal X-axis points with in the bar chart which respect the values of Vertical Y-axis.The dimension determine the interval to be fixed.
Vertical Y-Axis:
The vertical Y axis represent the scale of frequencies and is optimized to represent the data on the graph. The units are acquiesced and is linear starting from zero.
Histogram calculation - Conditions in Histograms:
The scale should be supposed to have all the data values. The scale divides the range into equal parts.
Steps to construct histograms:
- Classify the data of the given histogram
- Identify the time period for the data
- Tabulate the data for the given histogram.
- Establish the range of the given data
- come to a decision for the number of height and width of each bar
- Count the number of items in each bar.
- Make a bar chart using the data given.
Histogram calculation - Example Problems:
Histogram calculation - Problem 1:
Calculate the histogram for the given data.
5 10 15 20 25 30 35 40 45 50 55 60
2 4 7 10 5 7 7 4 4 10 7 9
Histogram calculation - Problem 2:
calculate the histogram for the following given data.
100-200 200-300 300-400 400-500 500-600 600-700
45 34 89 23 67 98
Histogram calculation - Problem 3:
calculate the histogram for the given data set.
1 2 3 4 5 6 7 8 9 10
7 3 32 56 15 4 78 34 45 56
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