Questions: Long.Description A medical school wanted to know to what degree the college's existing curriculum prepared students to pass the national medical licensing exam. They obtained the exam scores for 38 students who had recently completed the curriculum. The plot shows a probability distribution for the scores of students on the exam. Which of the following values would likely be more than one standard deviation less than the mean number of test scores? a. 175 b. 215 c. 235 d. 255 e. I do not know the answer. Finish

Solution Steps

The mean of a normal distribution is located at the peak of the curve. In this case, the peak appears to be around 220.

The standard deviation is a measure of the spread of the data. In a normal distribution, about 68% of the data falls within one standard deviation of the mean. Visually, one standard deviation to either side of the mean looks to be roughly 15 to 20 units on the x-axis. Therefore, we can estimate the standard deviation to be around 15-20.

Using the estimated mean of 220 and standard deviation of 15-20, one standard deviation less than the mean would be approximately 220 - 15 = 205 or 220-20=200.

We're looking for a value more than one standard deviation less than the mean (i.e., less than approximately 200-205). Comparing the options: a. 175 b. 215 c. 235 d. 255

Only 175 is considerably less than 200-205.

Final Answer