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The mean depth of water is 1.5 cm and the mean deviation from the mean is 0.1 cm. Determine its distribution efficiency.
- a)15%
- b)85%
- c)66.66%
- d)93%
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The mean depth of water is 1.5 cm and the mean deviation from the mean...
The formula for distribution efficiency is:
Nd = (1- d/D) x 100; where d = mean deviation and D = mean depth of water
Given, d=0.1 cm and D = 1.5 cm
Hence, Nd = 93%.
Nd = (1- d/D) x 100; where d = mean deviation and D = mean depth of water
Given, d=0.1 cm and D = 1.5 cm
Hence, Nd = 93%.
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The mean depth of water is 1.5 cm and the mean deviation from the mean...
Given data:
Mean depth of water (μ) = 1.5 cm
Mean deviation from the mean (MD) = 0.1 cm
Mean Deviation:
The mean deviation (MD) is a statistical measure of the dispersion or variability in a dataset. It is calculated by finding the difference between each data point and the mean, taking the absolute value of each difference, and then finding the average of these absolute differences.
Calculation of Mean Deviation:
To determine the distribution efficiency, we need to calculate the mean deviation.
The formula for calculating the mean deviation is:
MD = (Σ|X - μ|) / N
Where:
X is each individual data point
μ is the mean
N is the total number of data points
Given that the mean deviation is 0.1 cm, we have:
0.1 = (Σ|X - 1.5|) / N
Calculation of Distribution Efficiency:
To determine the distribution efficiency, we need to calculate the coefficient of variation (CV). The CV is a measure of relative variability and is calculated as the ratio of the mean deviation to the mean.
The formula for calculating the coefficient of variation is:
CV = (MD / μ) * 100
Substituting the given values, we have:
CV = (0.1 / 1.5) * 100 = 6.67%
The distribution efficiency is given by:
Distribution Efficiency = 100 - CV
Substituting the calculated value of CV, we have:
Distribution Efficiency = 100 - 6.67 = 93.33%
Therefore, the distribution efficiency is 93%.
Mean depth of water (μ) = 1.5 cm
Mean deviation from the mean (MD) = 0.1 cm
Mean Deviation:
The mean deviation (MD) is a statistical measure of the dispersion or variability in a dataset. It is calculated by finding the difference between each data point and the mean, taking the absolute value of each difference, and then finding the average of these absolute differences.
Calculation of Mean Deviation:
To determine the distribution efficiency, we need to calculate the mean deviation.
The formula for calculating the mean deviation is:
MD = (Σ|X - μ|) / N
Where:
X is each individual data point
μ is the mean
N is the total number of data points
Given that the mean deviation is 0.1 cm, we have:
0.1 = (Σ|X - 1.5|) / N
Calculation of Distribution Efficiency:
To determine the distribution efficiency, we need to calculate the coefficient of variation (CV). The CV is a measure of relative variability and is calculated as the ratio of the mean deviation to the mean.
The formula for calculating the coefficient of variation is:
CV = (MD / μ) * 100
Substituting the given values, we have:
CV = (0.1 / 1.5) * 100 = 6.67%
The distribution efficiency is given by:
Distribution Efficiency = 100 - CV
Substituting the calculated value of CV, we have:
Distribution Efficiency = 100 - 6.67 = 93.33%
Therefore, the distribution efficiency is 93%.
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The mean depth of water is 1.5 cm and the mean deviation from the mean is 0.1 cm. Determine its distribution efficiency.a)15%b)85%c)66.66%d)93%Correct answer is option 'D'. Can you explain this answer?
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