Question
A normal distribution has a mean of 645.33 and a standard deviation of 12.78. Approximately 68 percent of the data will lie between which two values?(1 point) -
Answers
GPT-4o mini
In a normal distribution, approximately 68% of the data falls within one standard deviation of the mean.
Given:
- Mean (μ) = 645.33
- Standard deviation (σ) = 12.78
To find the range within which approximately 68% of the data will lie, you can calculate:
1. Lower bound: μ - σ = 645.33 - 12.78 = 632.55
2. Upper bound: μ + σ = 645.33 + 12.78 = 658.11
Therefore, approximately 68% of the data will lie between **632.55 and 658.11**.
Given:
- Mean (μ) = 645.33
- Standard deviation (σ) = 12.78
To find the range within which approximately 68% of the data will lie, you can calculate:
1. Lower bound: μ - σ = 645.33 - 12.78 = 632.55
2. Upper bound: μ + σ = 645.33 + 12.78 = 658.11
Therefore, approximately 68% of the data will lie between **632.55 and 658.11**.