how to make a grouped frequency table from a histogram
Answers
Answer:
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Step-by-step explanation:
Question must be: how to make a histogram from a grouped frequency table?
Step 1 : Represent the data in the continuous (exclusive) form if it is in the discontinuous (inclusive) form.
Step 2 : Mark the class intervals along the X-axis on a uniform scale.
Step 3 : Mark the frequencies along the Y-axis on a uniform scale.
Step 4 : Construct rectangles with class intervals as bases and corresponding frequencies as heights.
Example 1 :
Draw a histogram for the following table which represent the marks obtained by 100 students in an examination:
Marks ↔ Number of students
0 - 10 ↔ 5
10 - 20 ↔ 10
20 - 30 ↔ 15
30 - 40 ↔ 20
40 - 50 ↔ 25
50 - 60 ↔ 12
60 - 70 ↔ 8
70 - 80 ↔ 5
Solution :
The class intervals are all equal with length of 10 marks. Let us denote these class intervals along the X-axis. Denote the number of students along the Y-axis, with appropriate scale. The histogram is given below.
Scale :
X - axis = 1 cm = 10 marks
Y - axis = 1 cm = 5 students
In the diagram, the bars are drawn continuously. The rectangles are of lengths (heights) proportional to the respective frequencies. Since the class intervals are equal, the areas of the bars are proportional to the respective frequencies.
Step-by-step explanation:
A two dimensional graphical representation of a continuous frequency distribution is called a histogram. In histogram, the bars are placed continuously side by side with no gap between adjacent bars. ... Now let us look at the steps followed in drawing histogram for grouped data.