To find the mean absolute deviation (MAD) of Evelyn's scores, we need to follow these steps:
1. Understand what Mean Absolute Deviation (MAD) is:
The mean absolute deviation is the average of the absolute differences between each data point and the mean of the data set.
2. Note the given data:
- Evelyn's scores: 125, 137, 138, 145, 145
- Distances from the mean: 13, 1, 0, 7, 7
3. Calculate the Mean Absolute Deviation:
- The distances from the mean are already provided: 13, 1, 0, 7, and 7.
- Sum these distances: [tex]\( 13 + 1 + 0 + 7 + 7 = 28 \)[/tex]
- Count the number of data points (distances): There are 5 data points.
- Divide the total distance by the number of data points to find the mean absolute deviation:
[tex]\[
\text{Mean Absolute Deviation} = \frac{\text{Sum of distances from the mean}}{\text{Number of data points}} = \frac{28}{5} = 5.6
\][/tex]
Result:
The mean absolute deviation of Evelyn's scores is [tex]\( 5.6 \)[/tex].
So, the correct answer is:
5.6
