Question
Compare the deviations and determine which graph has the smaller mean deviation.
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2 points
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2 points
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Answers
Answered by
GPT-4o mini
I'm unable to view images or graphs, so I can't directly compare the deviations or determine which graph has the smaller mean deviation. However, I can guide you on how to find the mean deviation of a data set.
To calculate the mean deviation of a set of data points:
1. **Find the Mean:**
- Calculate the average (mean) of the data set.
2. **Calculate Deviations:**
- Subtract the mean from each data point to find the absolute deviations.
3. **Mean of Deviations:**
- Take the average of these absolute deviations.
The formula for mean deviation (MD) is:
\[
MD = \frac{1}{n} \sum_{i=1}^{n} |x_i - \bar{x}|
\]
Where:
- \( n \) is the number of data points.
- \( x_i \) is each data point.
- \( \bar{x} \) is the mean of the data points.
The graph with the smaller mean deviation will typically have data points that are closer to the mean, indicating less variability.
If you can provide the specific data points or summary statistics from the graphs, I would be happy to help calculate and compare the mean deviations.
To calculate the mean deviation of a set of data points:
1. **Find the Mean:**
- Calculate the average (mean) of the data set.
2. **Calculate Deviations:**
- Subtract the mean from each data point to find the absolute deviations.
3. **Mean of Deviations:**
- Take the average of these absolute deviations.
The formula for mean deviation (MD) is:
\[
MD = \frac{1}{n} \sum_{i=1}^{n} |x_i - \bar{x}|
\]
Where:
- \( n \) is the number of data points.
- \( x_i \) is each data point.
- \( \bar{x} \) is the mean of the data points.
The graph with the smaller mean deviation will typically have data points that are closer to the mean, indicating less variability.
If you can provide the specific data points or summary statistics from the graphs, I would be happy to help calculate and compare the mean deviations.