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A Sociologist collected a sample of eight house and recorded the number of children in each house hold. The numbers are as follows: 2, 4, 3, 5, 1, 4, 3, 2. Find the Sample mean, mean deviation, Sample variency and the Sample standard deviation.
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Step-by-step solution
4 stepsHere are the calculations for the given data: .
The number of observations is .
Calculate the sample mean ().
The formula for the sample mean is .
The sample mean is .
Calculate the mean deviation (MD).
The formula for the mean deviation is .
First, find the absolute differences from the mean:
The mean deviation is .
Calculate the sample variance ().
The formula for the sample variance is .
First, find the squared differences from the mean:
The sample variance is .
Calculate the sample standard deviation ().
The formula for the sample standard deviation is .
The sample standard deviation is .
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