The National Assessment of Educational Progress (NAEP) is a nationwide assessment of students' proficiency in nine subjects: mathematics, reading, writing, science, the arts, civics, economics, geography, and U.S. history. The main NAEP assessments are conducted annually on samples of students from grades 4, 8, and 12.

Suppose in 2000, the science scores for female students had a mean of 146 with a standard deviation of 35. Assume that these scores are normally distributed with the given mean and standard deviation.

The normal curve representing this distribution of the scores is bell-shaped, with a single peak over _________ (answer this blank)

The value 111 is ___________________(answer this blank) below the mean, and the value 181 is ______________________ (answer this blank) above the mean. The area under the curve between 111 and 181 is approximately ______________________________ (answer this blank).

Similarly, 99.72% of the female students scored between __________ (answer) and ._____________ (answer)