To find the mean absolute deviation, first find the mean of the numbers in the list.
32 + 43 + 38 + 28 + 51 = 192
Then, subtract the mean from each number in the list and find the absolute value of the difference.
|32 - 192| = 160
|43 - 192| = 149
|38 - 192| = 154
|28 - 192| = 164
|51 - 192| = 141
Next, find the mean of these absolute differences.
(160 + 149 + 154 + 164 + 141) รท 5 = 152.8
Therefore, the mean absolute deviation of the numbers in the list is 152.8.
The list shows the number of songs that five students each downloaded last week.
32, 43, 38, 28, 51
What is the mean absolute deviation of the numbers in the list?
3 answers
The list shows the number of songs that five students each downloaded last week.
32, 43, 38, 28, 51
What is the mean absolute deviation of the numbers in the list?
32, 43, 38, 28, 51
What is the mean absolute deviation of the numbers in the list?
To find the mean absolute deviation (MAD) of a list of numbers, follow these steps:
1. Find the mean (average) of the numbers in the list.
2. Subtract the mean from each number in the list and find the absolute value of the difference.
3. Find the mean of these absolute differences.
Let's calculate the MAD:
1. Mean: (32 + 43 + 38 + 28 + 51) / 5 = 192 / 5 = 38.4
2. Absolute differences:
|32 - 38.4| = 6.4
|43 - 38.4| = 4.6
|38 - 38.4| = 0.4
|28 - 38.4| = 10.4
|51 - 38.4| = 12.6
3. Mean of the absolute differences: (6.4 + 4.6 + 0.4 + 10.4 + 12.6) / 5 = 34.4 / 5 = 6.88
Therefore, the mean absolute deviation (MAD) of the numbers in the list is 6.88.
1. Find the mean (average) of the numbers in the list.
2. Subtract the mean from each number in the list and find the absolute value of the difference.
3. Find the mean of these absolute differences.
Let's calculate the MAD:
1. Mean: (32 + 43 + 38 + 28 + 51) / 5 = 192 / 5 = 38.4
2. Absolute differences:
|32 - 38.4| = 6.4
|43 - 38.4| = 4.6
|38 - 38.4| = 0.4
|28 - 38.4| = 10.4
|51 - 38.4| = 12.6
3. Mean of the absolute differences: (6.4 + 4.6 + 0.4 + 10.4 + 12.6) / 5 = 34.4 / 5 = 6.88
Therefore, the mean absolute deviation (MAD) of the numbers in the list is 6.88.