Final answer:
To find the range contained between 637 and 1207 in relation to the SAT test administered in Florida in 2017, calculate the z-scores for both scores, then use those z-scores to find the corresponding raw scores. Subtract the smaller raw score from the larger raw score to find the range.
Step-by-step explanation:
To find the range contained between 637 and 1207 in relation to the SAT test administered in Florida in 2017, we need to calculate the z-scores for both scores and then use those z-scores to find the corresponding raw scores. The formula for calculating the z-score is:
z = (x - μ) / σ
where x is the raw score, μ is the mean, and σ is the standard deviation. Once we have the raw scores, we can calculate the range by subtracting the smaller score from the larger score.
For the given problem, the z-score for 637 is calculated as:
z = (637 - 1017) / 190 = -2.000
Using the z-score table or a calculator, the raw score corresponding to a z-score of -2.000 is approximately 437.99. Therefore, the lower end of the range is 437.99.
The z-score for 1207 is calculated as:
z = (1207 - 1017) / 190 = 1.000
The raw score corresponding to a z-score of 1.000 is approximately 1166.99. Therefore, the higher end of the range is 1166.99.
The range contained between 637 and 1207 is 1166.99 - 437.99 = 729.
Therefore, the correct answer is d) 3.5.