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The intersection point of less than ogive and more than ogive gives the ___ of a frequency distribution.
- a)Median
- b)Frequency
- c)Cumulative frequency
- d)Mean
Correct answer is option 'A'. Can you explain this answer?
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The intersection point of less than ogive and more than ogive gives th...
The intersection of less than and more than ogives is the median of the corresponding frequency distribution.
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The intersection point of less than ogive and more than ogive gives th...
The intersection point of the less than ogive and more than ogive gives the median of a frequency distribution. To understand why, let's break down the concepts involved.
1. Ogive:
An ogive is a graphical representation of a cumulative frequency distribution. It presents the cumulative frequency of the data in a frequency distribution table. There are two types of ogives:
- Less than ogive: It represents the cumulative frequency of values less than or equal to a particular class interval.
- More than ogive: It represents the cumulative frequency of values greater than or equal to a particular class interval.
2. Median:
The median is a measure of central tendency that represents the middle value of a data set when arranged in ascending or descending order. It divides the data into two equal halves.
Now, let's explore why the intersection point of the less than ogive and more than ogive gives the median.
- The less than ogive represents the cumulative frequency of values less than or equal to a particular class interval. It starts from the lower limit of the first class interval and gradually increases as we move to higher class intervals.
- The more than ogive represents the cumulative frequency of values greater than or equal to a particular class interval. It starts from the upper limit of the last class interval and gradually decreases as we move to lower class intervals.
The intersection point of the less than ogive and more than ogive occurs at a particular class interval. This class interval contains the median value of the data set.
At the intersection point:
- The cumulative frequency of the less than ogive represents the number of values that are less than or equal to the median.
- The cumulative frequency of the more than ogive represents the number of values that are greater than or equal to the median.
Since the median divides the data set into two equal halves, the cumulative frequency on both sides of the median will be equal. Hence, the intersection point of the less than ogive and more than ogive gives the median of the frequency distribution.
In conclusion, the intersection point of the less than ogive and more than ogive gives the median of a frequency distribution.
1. Ogive:
An ogive is a graphical representation of a cumulative frequency distribution. It presents the cumulative frequency of the data in a frequency distribution table. There are two types of ogives:
- Less than ogive: It represents the cumulative frequency of values less than or equal to a particular class interval.
- More than ogive: It represents the cumulative frequency of values greater than or equal to a particular class interval.
2. Median:
The median is a measure of central tendency that represents the middle value of a data set when arranged in ascending or descending order. It divides the data into two equal halves.
Now, let's explore why the intersection point of the less than ogive and more than ogive gives the median.
- The less than ogive represents the cumulative frequency of values less than or equal to a particular class interval. It starts from the lower limit of the first class interval and gradually increases as we move to higher class intervals.
- The more than ogive represents the cumulative frequency of values greater than or equal to a particular class interval. It starts from the upper limit of the last class interval and gradually decreases as we move to lower class intervals.
The intersection point of the less than ogive and more than ogive occurs at a particular class interval. This class interval contains the median value of the data set.
At the intersection point:
- The cumulative frequency of the less than ogive represents the number of values that are less than or equal to the median.
- The cumulative frequency of the more than ogive represents the number of values that are greater than or equal to the median.
Since the median divides the data set into two equal halves, the cumulative frequency on both sides of the median will be equal. Hence, the intersection point of the less than ogive and more than ogive gives the median of the frequency distribution.
In conclusion, the intersection point of the less than ogive and more than ogive gives the median of a frequency distribution.
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The intersection point of less than ogive and more than ogive gives th...
Cumulative frequency
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The intersection point of less than ogive and more than ogive gives the ___ of a frequency distribution.a)Medianb)Frequencyc)Cumulative frequencyd)MeanCorrect answer is option 'A'. Can you explain this answer?
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