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Consider the following statements in res...

Consider the following statements in respect of histogram :
1. The histogram is a suitable representation of a frequency distribution of a continuous variable.
2. The area included under the whole histogram is the total frequency.
Which of the above statements is/are correct?

A

1 only

B

2 only

C

Both 1 and 2

D

Neither 1 nor 2

Text Solution

AI Generated Solution

The correct Answer is:
To determine the correctness of the given statements regarding histograms, let's analyze each statement step by step. ### Step 1: Analyze the first statement **Statement 1**: "The histogram is a suitable representation of a frequency distribution of a continuous variable." - A histogram is indeed used to represent the frequency distribution of continuous data. It displays the data by dividing it into intervals (or bins) and showing the frequency of data points that fall within each interval. Therefore, this statement is **correct**. ### Step 2: Analyze the second statement **Statement 2**: "The area included under the whole histogram is the total frequency." - In a histogram, the area of each bar represents the frequency of the data within that interval. When we talk about the total area under the histogram, it corresponds to the total frequency of the data represented. Therefore, this statement is also **correct**. ### Conclusion Both statements are correct. Thus, the answer to the question is that both statements are true. ### Final Answer Both statements are correct.

To determine the correctness of the given statements regarding histograms, let's analyze each statement step by step. ### Step 1: Analyze the first statement **Statement 1**: "The histogram is a suitable representation of a frequency distribution of a continuous variable." - A histogram is indeed used to represent the frequency distribution of continuous data. It displays the data by dividing it into intervals (or bins) and showing the frequency of data points that fall within each interval. Therefore, this statement is **correct**. ### Step 2: Analyze the second statement ...
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