Answer:
Explanation:
The mode of the math SAT scores for the class is less than the mean.
False. We cannot determine the mode from the information given.
The standard deviation of the math SAT scores for the class is less than 50.
False. We cannot determine the standard deviation from the information given.
The class had at least 7 students who scored 675.
False. The problem only tells us that the highest score in the entire class was 675, but it does not say that any students in the calculus class received a score of 675.
There were 14 students in the class who scored less than 521.
False. The mean for the class was 521, so we cannot assume that 14 students scored less than the mean.
The middle 50% of the scores for the class range from approximately 473 to 569.
True. The range of scores is 235, so the lowest score must be at least 286. The median is 535, so the middle 50% of the scores must range from 535 - 117.5 = 417.5 to 535 + 117.5 = 652.5. Since the highest score in the entire class was 675, the upper limit of the middle 50% would be capped at 675. Therefore, the range of 473 to 569 falls within the middle 50% of scores for the class.
The 60th percentile score for the class is 562.
False. We cannot determine the 60th percentile score from the information given.