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What is a Quartile, and how is it calculated for an individual and discrete series?
- a)A Quartile is the value that separates the data into four equal parts, and it is calculated using the formula for Weighted Arithmetic Mean.
- b)A Quartile is the value that appears most frequently in a series, and it is calculated by arranging the data in ascending order.
- c)A Quartile is one of the three points that divide the data into four equal parts, and for individual and discrete series, it is calculated differently.
- d)A Quartile is a measure of central tendency based on all observations in the series.
Correct answer is option 'C'. Can you explain this answer?
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What is a Quartile, and how is it calculated for an individual and dis...
A Quartile is one of the three points that divide the data into four equal parts, and for individual and discrete series, it is calculated differently. This means that the data is divided into four equal parts, with each quartile representing a different portion of the data.
To calculate quartiles for an individual series, follow these steps:
1. Arrange the data in ascending order: Start by arranging the data in increasing order from the smallest value to the largest value.
2. Determine the position of each quartile: To divide the data into four equal parts, you need to determine the positions of the first, second, and third quartiles. The first quartile (Q1) is located at the 25th percentile, the second quartile (Q2) is located at the 50th percentile (also known as the median), and the third quartile (Q3) is located at the 75th percentile.
3. Calculate the position of each quartile: To calculate the position of each quartile, use the following formulas:
- Position of Q1 = (n + 1) / 4
- Position of Q2 = (2 * (n + 1)) / 4
- Position of Q3 = (3 * (n + 1)) / 4
Where 'n' represents the total number of data points.
4. Calculate the quartile values: Once you have determined the positions of each quartile, use the following formulas to calculate the quartile values:
- Q1 = Value at the position of Q1
- Q2 = Value at the position of Q2
- Q3 = Value at the position of Q3
These quartile values represent the points that divide the data into four equal parts. Q1 represents the lower quartile, Q2 represents the median, and Q3 represents the upper quartile.
It is important to note that for a discrete series, where the data consists of distinct values, the quartile values may not correspond to actual data points. In such cases, you can use linear interpolation to estimate the quartile values. Linear interpolation involves finding the values that lie between two data points and determining their respective positions based on the proportion of the difference between the two points.
To calculate quartiles for an individual series, follow these steps:
1. Arrange the data in ascending order: Start by arranging the data in increasing order from the smallest value to the largest value.
2. Determine the position of each quartile: To divide the data into four equal parts, you need to determine the positions of the first, second, and third quartiles. The first quartile (Q1) is located at the 25th percentile, the second quartile (Q2) is located at the 50th percentile (also known as the median), and the third quartile (Q3) is located at the 75th percentile.
3. Calculate the position of each quartile: To calculate the position of each quartile, use the following formulas:
- Position of Q1 = (n + 1) / 4
- Position of Q2 = (2 * (n + 1)) / 4
- Position of Q3 = (3 * (n + 1)) / 4
Where 'n' represents the total number of data points.
4. Calculate the quartile values: Once you have determined the positions of each quartile, use the following formulas to calculate the quartile values:
- Q1 = Value at the position of Q1
- Q2 = Value at the position of Q2
- Q3 = Value at the position of Q3
These quartile values represent the points that divide the data into four equal parts. Q1 represents the lower quartile, Q2 represents the median, and Q3 represents the upper quartile.
It is important to note that for a discrete series, where the data consists of distinct values, the quartile values may not correspond to actual data points. In such cases, you can use linear interpolation to estimate the quartile values. Linear interpolation involves finding the values that lie between two data points and determining their respective positions based on the proportion of the difference between the two points.
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What is a Quartile, and how is it calculated for an individual and dis...
A Quartile is defined as one of the three points that divide a statistical series into four equal parts. The calculation of Quartiles varies for different types of series, such as individual and discrete series. Different formulas are used to calculate Quartiles in these cases.
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What is a Quartile, and how is it calculated for an individual and discrete series?a)A Quartile is the value that separates the data into four equal parts, and it is calculated using the formula for Weighted Arithmetic Mean.b)A Quartile is the value that appears most frequently in a series, and it is calculated by arranging the data in ascending order.c)A Quartile is one of the three points that divide the data into four equal parts, and for individual and discrete series, it is calculated differently.d)A Quartile is a measure of central tendency based on all observations in the series.Correct answer is option 'C'. Can you explain this answer?
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What is a Quartile, and how is it calculated for an individual and discrete series?a)A Quartile is the value that separates the data into four equal parts, and it is calculated using the formula for Weighted Arithmetic Mean.b)A Quartile is the value that appears most frequently in a series, and it is calculated by arranging the data in ascending order.c)A Quartile is one of the three points that divide the data into four equal parts, and for individual and discrete series, it is calculated differently.d)A Quartile is a measure of central tendency based on all observations in the series.Correct answer is option 'C'. 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 What is a Quartile, and how is it calculated for an individual and discrete series?a)A Quartile is the value that separates the data into four equal parts, and it is calculated using the formula for Weighted Arithmetic Mean.b)A Quartile is the value that appears most frequently in a series, and it is calculated by arranging the data in ascending order.c)A Quartile is one of the three points that divide the data into four equal parts, and for individual and discrete series, it is calculated differently.d)A Quartile is a measure of central tendency based on all observations in the series.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Commerce 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is a Quartile, and how is it calculated for an individual and discrete series?a)A Quartile is the value that separates the data into four equal parts, and it is calculated using the formula for Weighted Arithmetic Mean.b)A Quartile is the value that appears most frequently in a series, and it is calculated by arranging the data in ascending order.c)A Quartile is one of the three points that divide the data into four equal parts, and for individual and discrete series, it is calculated differently.d)A Quartile is a measure of central tendency based on all observations in the series.Correct answer is option 'C'. Can you explain this answer?.
What is a Quartile, and how is it calculated for an individual and discrete series?a)A Quartile is the value that separates the data into four equal parts, and it is calculated using the formula for Weighted Arithmetic Mean.b)A Quartile is the value that appears most frequently in a series, and it is calculated by arranging the data in ascending order.c)A Quartile is one of the three points that divide the data into four equal parts, and for individual and discrete series, it is calculated differently.d)A Quartile is a measure of central tendency based on all observations in the series.Correct answer is option 'C'. 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 What is a Quartile, and how is it calculated for an individual and discrete series?a)A Quartile is the value that separates the data into four equal parts, and it is calculated using the formula for Weighted Arithmetic Mean.b)A Quartile is the value that appears most frequently in a series, and it is calculated by arranging the data in ascending order.c)A Quartile is one of the three points that divide the data into four equal parts, and for individual and discrete series, it is calculated differently.d)A Quartile is a measure of central tendency based on all observations in the series.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Commerce 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is a Quartile, and how is it calculated for an individual and discrete series?a)A Quartile is the value that separates the data into four equal parts, and it is calculated using the formula for Weighted Arithmetic Mean.b)A Quartile is the value that appears most frequently in a series, and it is calculated by arranging the data in ascending order.c)A Quartile is one of the three points that divide the data into four equal parts, and for individual and discrete series, it is calculated differently.d)A Quartile is a measure of central tendency based on all observations in the series.Correct answer is option 'C'. Can you explain this answer?.
Solutions for What is a Quartile, and how is it calculated for an individual and discrete series?a)A Quartile is the value that separates the data into four equal parts, and it is calculated using the formula for Weighted Arithmetic Mean.b)A Quartile is the value that appears most frequently in a series, and it is calculated by arranging the data in ascending order.c)A Quartile is one of the three points that divide the data into four equal parts, and for individual and discrete series, it is calculated differently.d)A Quartile is a measure of central tendency based on all observations in the series.Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Commerce.
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