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Directions : In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:
Assertion (A): Frequency Polygon cannot be created without plotting a Histogram.
Reason (R): Frequency Polygon is made by joining the mid-points with straight lines.
  • a)
    Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A).
  • b)
    Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
  • c)
    Assertion (A) is true, but Reason (R) is false .
  • d)
    Assertion (A) is false, but Reason (R) is true.
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Directions : In the following questions, a statement of Assertion (A)...
A frequency polygon can be created from the histogram or by calculating the midpoints of the bins from the frequency distribution table. The midpoint of a bin is calculated by adding the upper and lower boundary values of the bin and dividing the sum by 2.
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Most Upvoted Answer
Directions : In the following questions, a statement of Assertion (A)...
Assertion (A): Frequency Polygon cannot be created without plotting a Histogram.
Reason (R): Frequency Polygon is made by joining the mid-points with straight lines.

To understand the correct answer, let's break down the assertion and reason individually:

Assertion (A): Frequency Polygon cannot be created without plotting a Histogram.

A frequency polygon is a graphical representation of data that shows the frequency of observations within different intervals or classes. It is similar to a line graph, where the midpoints of each class interval are connected by straight lines. The height of each point on the graph represents the frequency of observations in that interval.

On the other hand, a histogram is a graphical representation of data that uses bars to represent the frequency of observations within different intervals or classes. The height of each bar represents the frequency of observations in that interval.

Since a frequency polygon is based on class intervals and their frequencies, it is necessary to have a histogram plotted first to obtain the class intervals and their frequencies. Without a histogram, we would not have the necessary data points to create a frequency polygon.

Reason (R): Frequency Polygon is made by joining the mid-points with straight lines.

A frequency polygon is constructed by joining the midpoints of each class interval on a histogram with straight lines. The midpoints represent the x-coordinate on the graph, while the height of the points represents the frequency or y-coordinate.

Explanation:

The correct answer is option 'D' - Assertion (A) is false, but Reason (R) is true.

The reason is true because a frequency polygon is indeed made by joining the midpoints of each class interval with straight lines. However, the assertion is false because it is possible to create a frequency polygon without plotting a histogram.

In some cases, the data may already be provided in the form of class intervals and their frequencies. In such situations, we can directly plot the frequency polygon without the need for a histogram. The histogram is only necessary when we have the raw data and need to create class intervals and their frequencies.

Therefore, while the reason is correct, the assertion is false as a frequency polygon can be created without plotting a histogram.
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Directions : In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:Assertion (A): Frequency Polygon cannot be created without plotting a Histogram.Reason (R): Frequency Polygon is made by joining the mid-points with straight lines.a)Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A).b)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).c)Assertion (A) is true, but Reason (R) is false .d)Assertion (A) is false, but Reason (R) is true.Correct answer is option 'D'. Can you explain this answer?
Question Description
Directions : In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:Assertion (A): Frequency Polygon cannot be created without plotting a Histogram.Reason (R): Frequency Polygon is made by joining the mid-points with straight lines.a)Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A).b)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).c)Assertion (A) is true, but Reason (R) is false .d)Assertion (A) is false, but Reason (R) is true.Correct answer is option 'D'. Can you explain this answer? for Commerce 2024 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about Directions : In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:Assertion (A): Frequency Polygon cannot be created without plotting a Histogram.Reason (R): Frequency Polygon is made by joining the mid-points with straight lines.a)Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A).b)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).c)Assertion (A) is true, but Reason (R) is false .d)Assertion (A) is false, but Reason (R) is true.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Commerce 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions : In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:Assertion (A): Frequency Polygon cannot be created without plotting a Histogram.Reason (R): Frequency Polygon is made by joining the mid-points with straight lines.a)Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A).b)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).c)Assertion (A) is true, but Reason (R) is false .d)Assertion (A) is false, but Reason (R) is true.Correct answer is option 'D'. Can you explain this answer?.
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