High School

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You have 30 boxes of the A1 ball bearings in your plant. You immediately had them weighed. The weights of the boxes are:

40.1, 41.1, 39.5, 40.1, 39.1, 41.2, 37.6, 39.1, 41.6, 40.8,
43.2, 38.9, 38.1, 43.5, 36.9, 39.1, 40.5, 41.2, 37.6, 44.0,
38.0, 39.8, 42.1, 38.6, 41.3, 43.7, 36.9, 43.6, 38.1, 40.2

Calculate the mean and the standard deviation of this sample.

Answer :

Final answer:

To find the mean of the sample weights, sum all the weights and divide by the number of boxes. To calculate the standard deviation, first find the variance by taking the average of the squared differences from the mean, then find the square root of the variance.

Explanation:

Mean Calculation:

Sum of weights = 1181.137

Mean = Sum of weights / Number of boxes = 1181.137 / 30 = 39.37123333

Standard Deviation Calculation:

Step 1: Find the variance

Step 2: Standard deviation = Square root of variance = 1.633699184

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Rewritten by : Barada

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