Here is the plot of the SAT population distribution, which includes the following elements:

• Mean (µ = 1000), marked by the green vertical line.
• Standard deviations from -3σ to +3σ (at 600, 800, 1000, 1200, 1400), marked by red dashed lines.
• Raw scores corresponding to each standard deviation.
• Score of 900, marked in orange, located between -1σ and 0σ.
• Score of 1300, marked in purple, located between +1σ and +2σ.

Do you need further details or clarifications?

Here are some related questions to consider:

1. What percentage of students score between 1000 and 1200 on the SAT?
2. How does a score of 900 compare to the overall SAT population?
3. What is the probability of scoring below 1300 on the SAT?
4. How would the distribution change if the mean SAT score increased?
5. What SAT score corresponds to being at the 95th percentile?

Tip: Standard deviation helps in understanding how spread out the scores are from the mean in any normal distribution.