Discover new knowledge and insights with IDNLearn.com's extensive Q&A platform. Join our community to receive timely and reliable responses to your questions from knowledgeable professionals.
Sagot :
To determine where the majority of the data will lie, we first need to understand the properties of a normal distribution and how the mean and standard deviation define the spread of the data.
1. Mean: The mean is the average value of the dataset. For this dataset, the mean is 85.
2. Standard Deviation: This measures the amount of variation or dispersion in the dataset. A smaller standard deviation means the data points are close to the mean, while a larger standard deviation indicates that the data points are spread out. Here, the standard deviation is 12.
In a normal distribution:
- About 68% of the data lies within one standard deviation of the mean.
To find this range:
1. Calculate one standard deviation below the mean:
- Mean - Standard Deviation = 85 - 12 = 73
2. Calculate one standard deviation above the mean:
- Mean + Standard Deviation = 85 + 12 = 97
Therefore, the majority of the data will lie between 73 and 97.
Considering the options provided:
1. 73 to 97
2. 85 to 100
3. 55 to 85
The correct option is:
73 to 97.
1. Mean: The mean is the average value of the dataset. For this dataset, the mean is 85.
2. Standard Deviation: This measures the amount of variation or dispersion in the dataset. A smaller standard deviation means the data points are close to the mean, while a larger standard deviation indicates that the data points are spread out. Here, the standard deviation is 12.
In a normal distribution:
- About 68% of the data lies within one standard deviation of the mean.
To find this range:
1. Calculate one standard deviation below the mean:
- Mean - Standard Deviation = 85 - 12 = 73
2. Calculate one standard deviation above the mean:
- Mean + Standard Deviation = 85 + 12 = 97
Therefore, the majority of the data will lie between 73 and 97.
Considering the options provided:
1. 73 to 97
2. 85 to 100
3. 55 to 85
The correct option is:
73 to 97.
Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. IDNLearn.com is committed to providing accurate answers. Thanks for stopping by, and see you next time for more solutions.