Mark's numeric grade in his Spanish class is determined by five equally weighted hourly tests and a final, weighted twice as much as an hourly test. The highest score possible on each is 100.

Going into finals week, Mark's hourly test scores are 92, 66, 84, 77, and 87. What must Mark score on his final, at minimum, in order to achieve a grade of 80 or better for the term?

A gymnastics contest has seven judges, each of whom rates each contestant's performance on a scale from 0 to 10. A contestant's score is calculated by disregarding the highest and lowest scores, and taking the mean of the remaining five scores.

The seven judges rated Sally's performance with the following seven scores: They rated Sue's performance with the following seven scores:

Which of these quantities is the greater?

(a) Sally's score

(b) Sue's score

This semester, Mary had five quizzes that were each worth 10% of her grade. She scored 89, 74, 84, 92, and 90 on those five quizzes. Mary also scored a 92 on her midterm that was worth 25% of her grade, and a 91 on her final that was also worth 25% of her class grade. What was Mary's final grade in the class?

Consider the following data set:

Which of these numbers is greater than the others?

Sally's final score in economics is calculated by taking the mean of the best four of her five test scores. Sally received a final score of 78. Her first four test scores were 90, 80, 65, and 70. Which is the greater quantity?

(A) Her fifth test score

(B) 65

A set of four numbers has a mean of 21. If one more number was added and the new mean was 20, what was the number that was added?

A student's course average is determined by calculating the mean of five tests. Chuck is trying for an average of in the course; his first four test scores are

Which is the greater quantity?

(a) The score Chuck needs on the fifth test to achieve his goal

(b)

Julie's final score in psychology is calculated by taking the mean of the best five of her six test scores. Julie received a final score of 85. Her first four test scores were 85, 98, 78, 80, and 84. Which is the greater quantity?

(A) Her sixth test score

(B) 75

Seven judges scored Donna's gymnastics routine as follows:

The same seven judges scored Karen's routine as follows:

The highest and lowest scores are removed to account for possible bias on the part of the judges, and each gymnast is awarded the mean of the five remaining scores.

Which is the greater quantity?

(A) Donna's score

(B) Karen's score

Katie's grade in her Shakespeare class is the mean of her best five test scores out of six tests taken.

Her test scores are .

Which is the greater quantity?

(a) Katie's grade

(b)