The amount spent on textbooks for the fall term was recorded for a sample of five university students - $400, $350, $600, $525, and $450. Calculate the value of the sample standard deviation for the data.Group of answer choices$99.37$450$98.75$250
Question
The amount spent on textbooks for the fall term was recorded for a sample of five university students - 350, 525, and 99.3798.75$250
Solution
To calculate the sample standard deviation, follow these steps:
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Calculate the mean (average) of the data set. Add all the values together and divide by the number of values. In this case, (400 + 350 + 600 + 525 + 450) / 5 = 465.
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Subtract the mean from each value to get the deviation of each value. This gives us -65, -115, 135, 60, and -15.
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Square each deviation to get the squared deviations. This gives us 4225, 13225, 18225, 3600, and 225.
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Add all the squared deviations together and divide by the number of values minus 1 (this is because we are calculating the sample standard deviation, not the population standard deviation). This gives us (4225 + 13225 + 18225 + 3600 + 225) / 4 = 9750.
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Finally, take the square root of this value to get the standard deviation. The square root of 9750 is approximately 98.75.
So, the sample standard deviation of the data is $98.75.
Similar Questions
The amount spent on textbooks for the fall term was recorded for a sample of five university students - $400, $350, $600, $525, and $450. Calculate the value of the sample mean for the dataGroup of answer choices$600$450$465$400
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