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Answer :
In a normal distribution, data is symmetrically distributed around the mean, creating a bell-shaped curve. One of the key features of a normal distribution is how the data is spread in relation to the standard deviation.
The standard deviation is a measure of how spread out the data is from the mean, and there are specific percentages of data that fall within certain numbers of standard deviations from the mean in a normal distribution:
1. Within one standard deviation (from the mean):
- Approximately 68% of the data falls within this range.
- This means if you go one standard deviation above the mean and one standard deviation below the mean, you would encompass about 68% of the data.
2. Within two standard deviations (from the mean):
- Approximately 95% of the data falls within this range.
3. Within three standard deviations (from the mean):
- Approximately 99.7% of the data falls within this range.
For the given question, we are interested only in the data within one standard deviation of the mean. Thus, the correct answer is:
- B) 68%
This means in a normal distribution, approximately 68% of the data falls within one standard deviation from the mean.
The standard deviation is a measure of how spread out the data is from the mean, and there are specific percentages of data that fall within certain numbers of standard deviations from the mean in a normal distribution:
1. Within one standard deviation (from the mean):
- Approximately 68% of the data falls within this range.
- This means if you go one standard deviation above the mean and one standard deviation below the mean, you would encompass about 68% of the data.
2. Within two standard deviations (from the mean):
- Approximately 95% of the data falls within this range.
3. Within three standard deviations (from the mean):
- Approximately 99.7% of the data falls within this range.
For the given question, we are interested only in the data within one standard deviation of the mean. Thus, the correct answer is:
- B) 68%
This means in a normal distribution, approximately 68% of the data falls within one standard deviation from the mean.
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