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Weight of nine students of a class is given below . Calculatemean deviation ,using median and arithmetic mean of the series .Also calculate coefficient of mean deviation: Weight (kg): 47,50,58,45,53,59,47, 60,49.?
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Weight of nine students of a class is given below . Calculatemean devi...
Mean Deviation using Median
To calculate the mean deviation using the median, we need to follow these steps:
Step 1: Arrange the data in ascending order.
The given weights are: 45, 47, 47, 49, 50, 53, 58, 59, 60.
Step 2: Find the median.
Since we have an odd number of data points, the median is the middle value, which is 50.
Step 3: Calculate the deviation from the median for each data point.
The deviations from the median are: 5, 3, 3, 1, 0, 3, 8, 9, 10.
Step 4: Find the absolute value of each deviation.
The absolute values of the deviations are: 5, 3, 3, 1, 0, 3, 8, 9, 10.
Step 5: Calculate the sum of the absolute deviations.
The sum of the absolute deviations is 42.
Step 6: Divide the sum of the absolute deviations by the total number of data points.
Since we have 9 data points, the mean deviation using the median is 42/9 = 4.67.
Mean Deviation using Arithmetic Mean
To calculate the mean deviation using the arithmetic mean, follow these steps:
Step 1: Calculate the arithmetic mean.
The arithmetic mean is the sum of all the data points divided by the total number of data points.
Sum of weights = 47 + 50 + 58 + 45 + 53 + 59 + 47 + 60 + 49 = 468.
Arithmetic mean = 468/9 = 52.
Step 2: Calculate the deviation from the arithmetic mean for each data point.
The deviations from the arithmetic mean are: -5, -2, 6, -7, 1, 7, -5, 8, -3.
Step 3: Find the absolute value of each deviation.
The absolute values of the deviations are: 5, 2, 6, 7, 1, 7, 5, 8, 3.
Step 4: Calculate the sum of the absolute deviations.
The sum of the absolute deviations is 44.
Step 5: Divide the sum of the absolute deviations by the total number of data points.
Since we have 9 data points, the mean deviation using the arithmetic mean is 44/9 = 4.89.
Coefficient of Mean Deviation
The coefficient of mean deviation is calculated by dividing the mean deviation by the arithmetic mean and multiplying by 100. It gives a relative measure of dispersion.
For the mean deviation using the median:
Coefficient of Mean Deviation = (Mean Deviation using Median / Arithmetic Mean) * 100
Coefficient of Mean Deviation = (4.67 / 52) * 100
Coefficient of Mean Deviation = 8.98
For the mean deviation using the arithmetic mean:
Coefficient of Mean Deviation = (Mean Deviation using Arithmetic Mean / Arithmetic Mean) * 100
Coefficient of Mean Deviation = (4.89 / 52) * 100
Coefficient of Mean Deviation = 9.40
The coefficient of mean deviation for the given data is 8.98 when calculated using
To calculate the mean deviation using the median, we need to follow these steps:
Step 1: Arrange the data in ascending order.
The given weights are: 45, 47, 47, 49, 50, 53, 58, 59, 60.
Step 2: Find the median.
Since we have an odd number of data points, the median is the middle value, which is 50.
Step 3: Calculate the deviation from the median for each data point.
The deviations from the median are: 5, 3, 3, 1, 0, 3, 8, 9, 10.
Step 4: Find the absolute value of each deviation.
The absolute values of the deviations are: 5, 3, 3, 1, 0, 3, 8, 9, 10.
Step 5: Calculate the sum of the absolute deviations.
The sum of the absolute deviations is 42.
Step 6: Divide the sum of the absolute deviations by the total number of data points.
Since we have 9 data points, the mean deviation using the median is 42/9 = 4.67.
Mean Deviation using Arithmetic Mean
To calculate the mean deviation using the arithmetic mean, follow these steps:
Step 1: Calculate the arithmetic mean.
The arithmetic mean is the sum of all the data points divided by the total number of data points.
Sum of weights = 47 + 50 + 58 + 45 + 53 + 59 + 47 + 60 + 49 = 468.
Arithmetic mean = 468/9 = 52.
Step 2: Calculate the deviation from the arithmetic mean for each data point.
The deviations from the arithmetic mean are: -5, -2, 6, -7, 1, 7, -5, 8, -3.
Step 3: Find the absolute value of each deviation.
The absolute values of the deviations are: 5, 2, 6, 7, 1, 7, 5, 8, 3.
Step 4: Calculate the sum of the absolute deviations.
The sum of the absolute deviations is 44.
Step 5: Divide the sum of the absolute deviations by the total number of data points.
Since we have 9 data points, the mean deviation using the arithmetic mean is 44/9 = 4.89.
Coefficient of Mean Deviation
The coefficient of mean deviation is calculated by dividing the mean deviation by the arithmetic mean and multiplying by 100. It gives a relative measure of dispersion.
For the mean deviation using the median:
Coefficient of Mean Deviation = (Mean Deviation using Median / Arithmetic Mean) * 100
Coefficient of Mean Deviation = (4.67 / 52) * 100
Coefficient of Mean Deviation = 8.98
For the mean deviation using the arithmetic mean:
Coefficient of Mean Deviation = (Mean Deviation using Arithmetic Mean / Arithmetic Mean) * 100
Coefficient of Mean Deviation = (4.89 / 52) * 100
Coefficient of Mean Deviation = 9.40
The coefficient of mean deviation for the given data is 8.98 when calculated using
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Weight of nine students of a class is given below . Calculatemean deviation ,using median and arithmetic mean of the series .Also calculate coefficient of mean deviation: Weight (kg): 47,50,58,45,53,59,47, 60,49.?
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Weight of nine students of a class is given below . Calculatemean deviation ,using median and arithmetic mean of the series .Also calculate coefficient of mean deviation: Weight (kg): 47,50,58,45,53,59,47, 60,49.? for Commerce 2024 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about Weight of nine students of a class is given below . Calculatemean deviation ,using median and arithmetic mean of the series .Also calculate coefficient of mean deviation: Weight (kg): 47,50,58,45,53,59,47, 60,49.? covers all topics & solutions for Commerce 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Weight of nine students of a class is given below . Calculatemean deviation ,using median and arithmetic mean of the series .Also calculate coefficient of mean deviation: Weight (kg): 47,50,58,45,53,59,47, 60,49.?.
Weight of nine students of a class is given below . Calculatemean deviation ,using median and arithmetic mean of the series .Also calculate coefficient of mean deviation: Weight (kg): 47,50,58,45,53,59,47, 60,49.? for Commerce 2024 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about Weight of nine students of a class is given below . Calculatemean deviation ,using median and arithmetic mean of the series .Also calculate coefficient of mean deviation: Weight (kg): 47,50,58,45,53,59,47, 60,49.? covers all topics & solutions for Commerce 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Weight of nine students of a class is given below . Calculatemean deviation ,using median and arithmetic mean of the series .Also calculate coefficient of mean deviation: Weight (kg): 47,50,58,45,53,59,47, 60,49.?.
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