To find the mean absolute deviation, we first need to find the mean of the speeds:
Mean = (68 + 72 + 78 + 59 + 73 + 70) / 6
Mean = 420 / 6
Mean = 70
Next, we find the absolute differences between each speed and the mean:
|68-70| = 2
|72-70| = 2
|78-70| = 8
|59-70| = 11
|73-70| = 3
|70-70| = 0
Then, we calculate the sum of the absolute differences:
2 + 2 + 8 + 11 + 3 + 0 = 26
Finally, we divide this sum by the total number of speeds (6) to find the mean absolute deviation:
Mean absolute deviation = 26 / 6
Mean absolute deviation = 4.33
So, the mean absolute deviation of the speeds is approximately 4.3 (rounded to the nearest tenth).
The numbers below represent the speeds of the last 6 vehicles that a police officer recorded:
68, 72, 78, 59, 73, 70
Find the mean absolute deviation of the numbers, and round to the nearest tenth if necessary.
1 answer