The weights of a sample of crates ready for shipment to Moscow, Russia are (in kilograms): 103, 97, 101, 106, and 103. What is the mean deviation?

Respuesta :

Answer:

Step-by-step explanation:

To calculate the mean deviation of the weights of the sample crates, we first need to find the mean of the data set. The mean is calculated by adding up all the values and then dividing by the total number of values.

Given weights: 103, 97, 101, 106, and 103

Mean = (103 + 97 + 101 + 106 + 103) / 5 = 510 / 5 = 102

Next, we calculate the deviation of each value from the mean:

Weight Deviation from Mean

103 1

97 -5

101 -1

106 4

103 1

Now, we find the absolute deviation for each value by taking the absolute value of each deviation:

Weight Deviation from Mean Absolute Deviation

103 1 1

97 -5 5

101 -1 1

106 4 4

103 1 1

The mean deviation is calculated by finding the average of these absolute deviations:

Mean Deviation = (1 + 5 + 1 + 4 + 1) / 5 = 2.4

Therefore, the mean deviation of the weights of the sample crates is 2.4 kilograms.