Graphs are pictorial representation of data.Histogram is graphical representation of data in statistics.
Introduction to graphs and histograms:
A histogram graph is representation of a frequency distribution as a graph . The graph consists of rectangles constructed with class intervals as bases and heights proportional to corresponding frequencies such that there is no gap between any two successive rectangles.
A histogram deals with continuous type of data.
Different types of histograms are:
Histogram of continuous grouped frequency distribution with equal class intervals.
Histogram of a continuous grouped frequency distribution with unequal class intervals.
Histogram when mid-points are given
Histogram for grouped frequency with inclusive classes(discontinuous class-intervals)
Steps for Construction of Histogram:
Choose a suitable scale on the x-axis and represent the class-limits on it
Choose a suitable scale on the y-axis and represent the corresponding frequencies on it
Draw rectangles with class intervals as bases and the respective frequencies as heights
Understanding irrational numbers definition is always challenging for me but thanks to all math help websites to help me out.
Example Histogram with Equal Class Interval:
Ex : 1 Constuct a histogram to represent the following data:
Marks
Number of
students
0-10 4
10-20 7
20-30 12
30-40 20
40-50 9
50-60 2
Sol:
Choose a scale
Step 1:Along x-axis 1 cm = 10 marks
Step 2:Along y-axis 1 cm = 5 students
Step3:Starting from 0, mark 10,20,30,40,50,60,70 on x-axis and 4,7,12,20,9,2 on the y-axis
Step4:Then we draw the rectangles with class intervals as bases and corresponding frequencies as heights.
Steps to Draw Histogram of Unequal Class Interval:
Choose a suitable scale on the x-axis and represent the class-limits on it
Determine a class interval which has the minimum class size. Let the minimum class size be h
Find the adjusted frequency of each class by using the formula :
Adjusted frequency of the class = `h/("Class - size of the class)` x frequency of the class
Choose suitable scale on the y-axis and represent the corresponding adjusted frequencies on it
Draw the rectangles , the width of rectangles will be according to class limit
Introduction to graphs and histograms:
A histogram graph is representation of a frequency distribution as a graph . The graph consists of rectangles constructed with class intervals as bases and heights proportional to corresponding frequencies such that there is no gap between any two successive rectangles.
A histogram deals with continuous type of data.
Different types of histograms are:
Histogram of continuous grouped frequency distribution with equal class intervals.
Histogram of a continuous grouped frequency distribution with unequal class intervals.
Histogram when mid-points are given
Histogram for grouped frequency with inclusive classes(discontinuous class-intervals)
Steps for Construction of Histogram:
Choose a suitable scale on the x-axis and represent the class-limits on it
Choose a suitable scale on the y-axis and represent the corresponding frequencies on it
Draw rectangles with class intervals as bases and the respective frequencies as heights
Understanding irrational numbers definition is always challenging for me but thanks to all math help websites to help me out.
Example Histogram with Equal Class Interval:
Ex : 1 Constuct a histogram to represent the following data:
Marks
Number of
students
0-10 4
10-20 7
20-30 12
30-40 20
40-50 9
50-60 2
Sol:
Choose a scale
Step 1:Along x-axis 1 cm = 10 marks
Step 2:Along y-axis 1 cm = 5 students
Step3:Starting from 0, mark 10,20,30,40,50,60,70 on x-axis and 4,7,12,20,9,2 on the y-axis
Step4:Then we draw the rectangles with class intervals as bases and corresponding frequencies as heights.
Choose a suitable scale on the x-axis and represent the class-limits on it
Determine a class interval which has the minimum class size. Let the minimum class size be h
Find the adjusted frequency of each class by using the formula :
Adjusted frequency of the class = `h/("Class - size of the class)` x frequency of the class
Choose suitable scale on the y-axis and represent the corresponding adjusted frequencies on it
Draw the rectangles , the width of rectangles will be according to class limit
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