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A frequency polygon is constructed by plotting frequency of the class interval and the
- a)Upper limit of the class
- b)Lower limit of the class
- c)Mid value of the class
- d)Any values of the class
Correct answer is option 'C'. Can you explain this answer?
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A frequency polygon is constructed by plotting frequency of the class ...
Mid-value is always considered for frequency polygon construction.
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A frequency polygon is constructed by plotting frequency of the class ...
Frequency polygons are graphical representations of frequency distributions. They are constructed by plotting the frequency of each class interval on the y-axis and the mid value of each class interval on the x-axis. The correct answer is option 'C', which states that the frequency polygon is constructed by plotting the mid value of the class.
Explanation:
Frequency polygons are used to represent the distribution of a set of data values. They are useful for visualizing the shape and pattern of the data. To construct a frequency polygon, follow these steps:
1. Determine the class intervals: Start by determining the class intervals for the data. Class intervals are ranges of values that divide the data into groups or intervals. For example, if you have data on the heights of students in a class, the class intervals could be 140-150 cm, 150-160 cm, 160-170 cm, and so on.
2. Calculate the frequency: Count the number of data values that fall within each class interval. This is known as the frequency. For example, if there are 5 students with heights between 140-150 cm, the frequency for that class interval would be 5.
3. Find the mid value of each class interval: To construct the frequency polygon, you need to plot the mid value of each class interval on the x-axis. The mid value is calculated by adding the lower limit and the upper limit of each class interval and dividing by 2. For example, if the class interval is 140-150 cm, the mid value would be (140 + 150) / 2 = 145 cm.
4. Plot the points: Plot the frequency of each class interval on the y-axis and the mid value of each class interval on the x-axis. For example, if the frequency for the class interval 140-150 cm is 5, you would plot the point (145, 5) on the graph.
5. Connect the points: Once all the points are plotted, connect them using straight lines. This will form the frequency polygon.
In conclusion, the correct answer is option 'C', which states that the frequency polygon is constructed by plotting the mid value of the class. The mid value provides a representative point for each class interval and helps in visualizing the distribution of the data.
Explanation:
Frequency polygons are used to represent the distribution of a set of data values. They are useful for visualizing the shape and pattern of the data. To construct a frequency polygon, follow these steps:
1. Determine the class intervals: Start by determining the class intervals for the data. Class intervals are ranges of values that divide the data into groups or intervals. For example, if you have data on the heights of students in a class, the class intervals could be 140-150 cm, 150-160 cm, 160-170 cm, and so on.
2. Calculate the frequency: Count the number of data values that fall within each class interval. This is known as the frequency. For example, if there are 5 students with heights between 140-150 cm, the frequency for that class interval would be 5.
3. Find the mid value of each class interval: To construct the frequency polygon, you need to plot the mid value of each class interval on the x-axis. The mid value is calculated by adding the lower limit and the upper limit of each class interval and dividing by 2. For example, if the class interval is 140-150 cm, the mid value would be (140 + 150) / 2 = 145 cm.
4. Plot the points: Plot the frequency of each class interval on the y-axis and the mid value of each class interval on the x-axis. For example, if the frequency for the class interval 140-150 cm is 5, you would plot the point (145, 5) on the graph.
5. Connect the points: Once all the points are plotted, connect them using straight lines. This will form the frequency polygon.
In conclusion, the correct answer is option 'C', which states that the frequency polygon is constructed by plotting the mid value of the class. The mid value provides a representative point for each class interval and helps in visualizing the distribution of the data.
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A frequency polygon is constructed by plotting frequency of the class interval and thea)Upper limit of the classb)Lower limit of the classc)Mid value of the classd)Any values of the classCorrect answer is option 'C'. Can you explain this answer?
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