Below is a table showing the cost lawn maintenance service charges for various commercial and retail properties.
Cost of lawn maintenance ($)
640, 250, 500, 640, 720, 640, 250, 720
A. Find the mean absolute deviation for the lawn maintenance company
B. Describe what this number means
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What is the mean absolute deviation of 640 250 500 640 720 640 250 720
To find the mean absolute deviation for the lawn maintenance company, follow these steps:
1. Calculate the mean (average) of the data set. Add up all the values and divide the sum by the total number of values. In this case, there are 8 values, so the mean can be found as follows:
(640 + 250 + 500 + 640 + 720 + 640 + 250 + 720) / 8 = 535
2. Calculate the absolute deviation for each value by finding the difference between each value and the mean. Take the absolute value of each difference.
|640 - 535| = 105
|250 - 535| = 285
|500 - 535| = 35
|640 - 535| = 105
|720 - 535| = 185
|640 - 535| = 105
|250 - 535| = 285
|720 - 535| = 185
3. Add up all the absolute deviations calculated in step 2.
105 + 285 + 35 + 105 + 185 + 105 + 285 + 185 = 1105
4. Divide the sum of absolute deviations by the total number of values. In this case, divide 1105 by 8.
1105 / 8 = 138.125
So, the mean absolute deviation for the lawn maintenance company is approximately 138.125.
Now, let's describe what this number means. The mean absolute deviation represents the average difference between each individual data point and the mean of the data set. In this case, the mean absolute deviation of approximately 138.125 indicates that, on average, the cost of lawn maintenance services deviates from the mean cost by around $138.125. This means that the prices charged for lawn maintenance services among commercial and retail properties vary by this amount from the average cost.