ISEE Upper Level Quantitative : Data Analysis and Probability
Study concepts, example questions & explanations for ISEE Upper Level Quantitative
All ISEE Upper Level Quantitative Resources
Example Questions
Example Question #111 : Data Analysis And Probability
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)
(b) is greater.
It is impossible to tell from the information given.
(a) is greater.
(a) and (b) are equal.
(a) is greater.
Take the sum of all of her test scores except for her lowest and divide that by the number of test scores included.
Example Question #112 : Data Analysis And Probability
Consider the following set of numbers:
Quantity A: Median of the set
Quantity B: Mean of the set
The relationship cannot be determined from the information given.
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
Quantity B is greater.
The median of the set of numbers is determined by arranging the numbers in numerical order and finding the middle number. In this case there are two middle numbers, 
The mean is found by dividing the sum of elements by the number of elements in the set:
Quantity B is larger.
Example Question #14 : How To Find Mean
Compare 
The quantity of 
The quantity of 
The two quantities are equal.
It is not possible to determine which quantity is greater.
The quantity of
The average of a list of terms can be found as follows:
So we can write:
So 
Example Question #113 : Data Analysis And Probability
Which one is greater:
It is not possible to tell from the information given
Mean of a data set 
So we have:
So the mean of the first data set is greater.
Example Question #115 : Data Analysis And Probability
Which one is greater:
It is not possible to tell from the information given
Mean of a data set 
So we have:
Example Question #116 : Data Analysis And Probability
Which is greater:
It is not possible to tell from the information given
Mean of a data set 
So we have:
So the mean of the data set is greater than
Example Question #15 : Mean
Which one is greater:
It is not possible to tell from the information given
Mean of a data set 
So we have:
So the mean of the data set is smaller than 
Example Question #114 : Data Analysis And Probability
Which one is greater:
It is not possible to tell from the information given
Mean of a data set 
So we have:
So the mean of the data set is greater than 
Example Question #115 : Data Analysis And Probability
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?
Start by writing out what you know. We know that four numbers had a mean of 21. That would look like this: 
Example Question #116 : Data Analysis And Probability
You are given the following data set:
Which of the following is the greater quantity?
(A) The mean of the data set
(B) The median of the data set
(A) is greater
(A) and (B) are equal
It is impossible to determine which is greater from the information given
(B) is greater
(B) is greater
The mean of the data set is the sum of the elements divided by the quantity - eight, in this case:
The median of the data set is the value in the middle - or, since there is an even number of elements, it is the mean of the fourth-highest and the fourth-lowest elements. We arrange the elements in ascending order:
The median is the arithmetic mean of 18 and 19:
(B) is the greater quantity
All ISEE Upper Level Quantitative Resources
