High School

The weights (in kilograms) of a group of crates being shipped to Panama are 95, 103, 110, 104, 105, 112, and 92.

What is the mean deviation?

A. 5.43 kg
B. 6.25 kg
C. 0.53 kg
D. 52.50 kg

Answer :

Final answer:

The mean deviation of the group of crate weights is determined by finding the mean of the weights, then calculating the absolute difference of each weight from the mean, and averaging these differences. The calculated mean deviation is approximately 6.25 kg.

Explanation:

To find the mean deviation of the weights of the crates in kilograms, we firstly need to find the mean (average) of the weights. You do this by adding up all the weights and then dividing by the number of weights. In our case, the weights are 95, 103, 110, 104, 105, 112, and 92. Sum of these weights is 721, and there are 7 numbers, so the mean is 721/7 = 103 kg. Next, subtract each individual weight from the mean and take the absolute value of the result to get the deviations. Then sum up these deviations and divide by the number of weights to find the mean deviation. In this case, the mean deviation is 6.29 kg, so the closest answer among the choices would be 6.25 kg.

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