ISEE Upper Level Quantitative : Mean
Study concepts, example questions & explanations for ISEE Upper Level Quantitative
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Example Questions
Example Question #31 : Mean
In the first round of a gymnastics competition, six judges scored Rhonda's routine as follows:
In the second round, eight judges scored her routine as follows:
In each round, 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 remaining scores.
Which is the greater quantity?
(A) Rhonda's first round score
(B) Rhonda's second round score
(A) is greater
(B) is greater
(A) and (B) are equal
It is impossible to determine which is greater from the information given
(A) is greater
Rhonda's highest and lowest scores in the first round were 10 and 5, so her score in the first round was the mean of the scores
This is the sum of the four scores divided by four, or
Rhonda's highest and lowest scores in the second round were 10 and 6, so her score in the first round was the mean of the scores
This is the sum of the six scores divided by six, or
(A) is greater.
Example Question #31 : Mean
What is the average of the three numbers in the set below?
The average is calculated by adding together the numbers in a set and dividing by the number of items:
Example Question #33 : Mean
The course average for a chemistry class is the mean of five test scores. Anne has scores 
(a) The score Anne must make to average
(b) The score Barb must make to average
(b) is greater.
(a) and (b) are equal.
(a) is greater.
It is impossible to tell from the information given.
(b) is greater.
The only real comparison that needs to be made is between the two students' totals; the one with the lesser total needs a greater score to average .
(a) Anne's total:
(b) Barb's total:
Barb has fewer points so she needs more points to average 
Example Question #32 : Mean
Consider the following data set:
Which of these numbers is greater than the others?
The midrange of the set
It cannot be determined from the information given
The mode of the set
The median of the set
The mean of the set
The midrange of the set
The median of the set is the fifth-highest value, which is 
The mean is the sum of the elements divided by the number of them. This is
The midrange is the mean of the least and greatest elements, This is
The midrange is the greatest of the four.
All ISEE Upper Level Quantitative Resources
