Kara is examining a histogram based on a dataset. She notices that the data is roughly symmetrical around a single peak at 65. The mean of the data is at 65.5 and the +1σ point is at 75.5. What is the normal model for the data distribution?
The normal model for the data distribution can be described as follows:
- Mean (μ) = 65.5
- Standard Deviation (σ) = 10 (since the +1σ point is at 75.5 which is 10 units away from the mean)
Therefore, the normal model for the data distribution can be represented as N(65.5, 10).