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Determine its distribution efficiency when mean depth of water is 1.5 cm and the mean deviation from the mean is 0.1 cm.
- a)15%
- b)85%
- c)66.66%
- d)93%
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Determine its distribution efficiency when mean depth of water is 1.5 ...
Distribution efficiency is a measure of how well a system is able to distribute a resource uniformly. In this case, we are calculating the distribution efficiency of water depth in a given system.
Given:
Mean depth of water = 1.5 cm
Mean deviation from the mean = 0.1 cm
The distribution efficiency can be calculated using the formula:
Distribution Efficiency = (1 - (Mean Deviation / Mean Depth)) * 100
1. Calculate the Mean Deviation:
Mean Deviation is the average of the absolute differences between each data point and the mean.
Mean Deviation = (|1.5 - 1.5| + |1.6 - 1.5| + |1.4 - 1.5| + ... + |x - 1.5|) / n
Since we do not have the actual data points, we can use the given Mean Deviation value of 0.1 cm.
Mean Deviation = 0.1 cm
2. Calculate the Distribution Efficiency:
Distribution Efficiency = (1 - (0.1 / 1.5)) * 100
= (1 - 0.0667) * 100
= 0.9333 * 100
= 93.33%
Therefore, the distribution efficiency when the mean depth of water is 1.5 cm and the mean deviation from the mean is 0.1 cm is approximately 93%. Hence, the correct answer is option 'D'.
Given:
Mean depth of water = 1.5 cm
Mean deviation from the mean = 0.1 cm
The distribution efficiency can be calculated using the formula:
Distribution Efficiency = (1 - (Mean Deviation / Mean Depth)) * 100
1. Calculate the Mean Deviation:
Mean Deviation is the average of the absolute differences between each data point and the mean.
Mean Deviation = (|1.5 - 1.5| + |1.6 - 1.5| + |1.4 - 1.5| + ... + |x - 1.5|) / n
Since we do not have the actual data points, we can use the given Mean Deviation value of 0.1 cm.
Mean Deviation = 0.1 cm
2. Calculate the Distribution Efficiency:
Distribution Efficiency = (1 - (0.1 / 1.5)) * 100
= (1 - 0.0667) * 100
= 0.9333 * 100
= 93.33%
Therefore, the distribution efficiency when the mean depth of water is 1.5 cm and the mean deviation from the mean is 0.1 cm is approximately 93%. Hence, the correct answer is option 'D'.
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Community Answer
Determine its distribution efficiency when mean depth of water is 1.5 ...
Distribution Efficiency:
The water distribution efficiency represents the extent to which the water has penetrated to a uniform depth, throughout the field. When the water has penetrated uniformly throughout the field, the deviation from the mean depth is zero and the water distribution efficiency is 1.0.
Water Distribution Efficiency(ηd)
Where,
d = Average of the absolute values of deviations from the mean
D = Mean depth of water stored during irrigation
Calculation:
Given that,
Mean deviation from mean = 0.1 cm
Mean depth of water = 1.5 cm
∴ Water Distribution Efficiency(ηd)
ηd = 93.33%
ηd ≈ 93%
The water distribution efficiency represents the extent to which the water has penetrated to a uniform depth, throughout the field. When the water has penetrated uniformly throughout the field, the deviation from the mean depth is zero and the water distribution efficiency is 1.0.
Water Distribution Efficiency(ηd)
Where,
d = Average of the absolute values of deviations from the mean
D = Mean depth of water stored during irrigation
Calculation:
Given that,
Mean deviation from mean = 0.1 cm
Mean depth of water = 1.5 cm
∴ Water Distribution Efficiency(ηd)
ηd = 93.33%
ηd ≈ 93%
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Determine its distribution efficiency when mean depth of water is 1.5 cm and the mean deviation from the mean is 0.1 cm.a)15%b)85%c)66.66%d)93%Correct answer is option 'D'. Can you explain this answer?
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