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?
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?
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.
To find the mean absolute deviation (MAD) of a list of numbers, follow these steps:
Step 1: Find the mean of the numbers in the list.
To find the mean, add up all the numbers in the list and divide the sum by the total number of values.
32 + 43 + 38 + 28 + 51 = 192
Mean = 192 / 5 = 38.4
Step 2: Find the absolute difference between each number and the mean.
To find the absolute difference, subtract the mean from each number in the list and take the absolute value (ignore the negative sign, if any).
|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
Step 3: Find the mean of the absolute differences.
Add up all the absolute differences calculated in Step 2 and divide the sum by the total number of values.
(6.4 + 4.6 + 0.4 + 10.4 + 12.6) / 5 = 34 / 5 = 6.8
Therefore, the mean absolute deviation (MAD) of the numbers in the list is 6.8.