In a particular hospital, 6 newborn babies were delivered yesterday. Here are their weights (in ounces):
112, 96, 109, 126, 99, 106
Assuming that these weights constitute an entire population, find the standard deviation of the population. Round your answer to at least two decimal places.
Mean=648/6= 108
I can find the mean but can’t remember what I do next.
Subtract each of the scores from the mean and square each difference. Find the sum of these squares. Divide that by the number of scores to get variance.
Standard deviation = square root of variance
To find the standard deviation of the population, you need to follow these steps:
1. Calculate the deviation of each value from the mean. To do this, subtract the mean from each weight.
Deviations: (112 - 108), (96 - 108), (109 - 108), (126 - 108), (99 - 108), (106 - 108)
2. Square each deviation. This is done to get rid of any negative values and to emphasize differences from the mean.
Squared deviations: (4^2), (-12^2), (1^2), (18^2), (-9^2), (-2^2)
3. Calculate the sum of the squared deviations by adding up all the squared deviations you just calculated.
4. Divide the sum of squared deviations by the total number of values in the population. In this case, you have 6 newborns.
5. Take the square root of the result obtained in step 4. This will give you the standard deviation of the population.
By following these steps, you should be able to find the standard deviation of this particular hospital's population.