CA Foundation Exam > CA Foundation Questions > Frequency Density can be termed as:a)Class fr...
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Frequency Density can be termed as:
- a)Class frequency to the cumulative frequency
- b)Class frequency to the total frequency
- c)Class frequency to the class length
- d)Class length to the class frequency.
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Frequency Density can be termed as:a)Class frequency to the cumulative...
If the widths are equal then just frequency can be used, although it may still be desirable to use frequency density. ... The histograms are easier to compare if frequency density is plotted, because each frequency density histogram is similar to a histogram with a 1kg class width.
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Frequency Density can be termed as:a)Class frequency to the cumulative...
Frequency Density refers to the measure of the number of observations in a particular class interval, in relation to the width of that interval. It is calculated by dividing the class frequency by the total frequency of the data set.
Explanation:
Frequency Density can be calculated using the following formula:
Frequency Density = Class Frequency / Total Frequency
where,
Class Frequency refers to the number of observations falling in a particular class interval.
Total Frequency refers to the total number of observations in the data set.
For example, if the data set contains the following class intervals:
0-10, 10-20, 20-30, 30-40, and 40-50
and the number of observations in each interval are:
5, 10, 15, 20, and 25
then the total frequency of the data set will be:
5 + 10 + 15 + 20 + 25 = 75
Now, to calculate the frequency density of each class interval, we need to divide the class frequency by the total frequency. This can be done as follows:
Frequency Density of the first class interval (0-10) = 5/75 = 0.067
Frequency Density of the second class interval (10-20) = 10/75 = 0.133
Frequency Density of the third class interval (20-30) = 15/75 = 0.2
Frequency Density of the fourth class interval (30-40) = 20/75 = 0.267
Frequency Density of the fifth class interval (40-50) = 25/75 = 0.333
Therefore, the correct answer to the question is option 'B' i.e. Class frequency to the total frequency, as frequency density is calculated by dividing the class frequency by the total frequency of the data set.
Explanation:
Frequency Density can be calculated using the following formula:
Frequency Density = Class Frequency / Total Frequency
where,
Class Frequency refers to the number of observations falling in a particular class interval.
Total Frequency refers to the total number of observations in the data set.
For example, if the data set contains the following class intervals:
0-10, 10-20, 20-30, 30-40, and 40-50
and the number of observations in each interval are:
5, 10, 15, 20, and 25
then the total frequency of the data set will be:
5 + 10 + 15 + 20 + 25 = 75
Now, to calculate the frequency density of each class interval, we need to divide the class frequency by the total frequency. This can be done as follows:
Frequency Density of the first class interval (0-10) = 5/75 = 0.067
Frequency Density of the second class interval (10-20) = 10/75 = 0.133
Frequency Density of the third class interval (20-30) = 15/75 = 0.2
Frequency Density of the fourth class interval (30-40) = 20/75 = 0.267
Frequency Density of the fifth class interval (40-50) = 25/75 = 0.333
Therefore, the correct answer to the question is option 'B' i.e. Class frequency to the total frequency, as frequency density is calculated by dividing the class frequency by the total frequency of the data set.
Community Answer
Frequency Density can be termed as:a)Class frequency to the cumulative...
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Frequency Density can be termed as:a)Class frequency to the cumulative frequencyb)Class frequency to the total frequencyc)Class frequency to the class lengthd)Class length to the class frequency.Correct answer is option 'B'. Can you explain this answer?
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