The list shows the maximum flying speeds of the ten fastest birds worldwide.
88, 72, 77, 95, 65, 80, 70, 106, 65, 68
What is the mean absolute deviation of the set of data?
thas wrong
First, we count all the numbers, 88, 72 ,77, 95, 65, 80, 70, 106, 65, and 68. There are 10 numbers. We add them all together and get 786. Then we divide 786 by 10, and we get 78.6. Now we subtract.
88 - 78.6
78.6- 72
78.6- 77
95 - 78.6
78.6 - 65
80- 78.6
78.6-70
106- 78.6
78.6-65
78.6-68.
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Now we have 9.4, 6.6 ,1.6, 16.4 ,13.6, 1.4 ,8.6 ,27.4, 13.6 , and 10.6. There are ten numbers. We add them all together and get 109.2 we divide 109.2 by 10. We get 10.92. The mean absolute deviation is 10.92
To find the mean absolute deviation, we first need to find the mean of the data set.
Mean = (88 + 72 + 77 + 95 + 65 + 80 + 70 + 106 + 65 + 68) / 10
Mean = 786 / 10
Mean = 78.6
Next, we subtract the mean from each data point, find the absolute value of the differences, and then calculate the mean of those absolute differences.
Differences from the mean:
|88 - 78.6| = 9.4
|72 - 78.6| = 6.6
|77 - 78.6| = 1.6
|95 - 78.6| = 16.4
|65 - 78.6| = 13.6
|80 - 78.6| = 1.4
|70 - 78.6| = 8.6
|106 - 78.6| = 27.4
|65 - 78.6| = 13.6
|68 - 78.6| = 10.6
Mean absolute deviation = (9.4 + 6.6 + 1.6 + 16.4 + 13.6 + 1.4 + 8.6 + 27.4 + 13.6 + 10.6) / 10
Mean absolute deviation = 99.2 / 10
Mean absolute deviation = 9.92
Therefore, the mean absolute deviation of the data set is 9.92.
I apologize for the mistake in my previous calculation. Let's recalculate the mean absolute deviation using the correct method.
Mean = (88 + 72 + 77 + 95 + 65 + 80 + 70 + 106 + 65 + 68) / 10
Mean = 786 / 10
Mean = 78.6
Next, we calculate the absolute deviation of each data point from the mean:
|88 - 78.6| = 9.4
|72 - 78.6| = 6.6
|77 - 78.6| = 1.6
|95 - 78.6| = 16.4
|65 - 78.6| = 13.6
|80 - 78.6| = 1.4
|70 - 78.6| = 8.6
|106 - 78.6| = 27.4
|65 - 78.6| = 13.6
|68 - 78.6| = 10.6
Now, we find the mean of these absolute deviations:
Mean absolute deviation = (9.4 + 6.6 + 1.6 + 16.4 + 13.6 + 1.4 + 8.6 + 27.4 + 13.6 + 10.6) / 10
Mean absolute deviation = 98.2 / 10
Mean absolute deviation = 9.82
Therefore, the mean absolute deviation of the data set is 9.82.