ISEE Upper Level Quantitative : ISEE Upper Level (grades 9-12) Quantitative Reasoning
Study concepts, example questions & explanations for ISEE Upper Level Quantitative
All ISEE Upper Level Quantitative Resources
Example Questions
Example Question #3 : How To Find Mode
Consider the data set
where 
Which is the greater quantity?
(a) The mode of the data set
(b) 5
It is impossible to tell from the information given.
(b) is greater.
(a) and (b) are equal.
(a) is greater.
(a) and (b) are equal.
5 appears in the data set at least three times. Regardless of the value of 
Example Question #4 : How To Find Mode
Consider the following set of data:
compare the mode and the median of the set.
The median is greater.
It is not possible to compare based on the information given.
The median and the mode are equal.
The mode is greater.
The median and the mode are equal.
If there are an odd number of values in a data set, the median is the middle value. In this problem first we should put the numbers in order:
So the median is 
The mode of a set of data is the value which occurs most frequently, which is 
Example Question #5 : How To Find Mode
Compare the median and the mode in the following set of data:
The median is greater than the mode.
It is not possible to copare the median and the mode based on the information given.
The mode and the median are equal.
The mode is greater than the median.
The mode is greater than the median.
If a data set has an even number of values, the median is the average of the two middle values. First we should put the numbers in order:
So the median is:
The mode of a set of data is the value which occurs most frequently, which is 
Example Question #6 : How To Find Mode
Compare the median and the mode in the following set of data:
The median is greater than the mode.
The median and the mode are equal.
It is not possible to compare the mode and the median based on the information given.
The mode is greater than the median.
The median and the mode are equal.
If there are an odd number of values in a data set, the median is the middle value. In this problem first we should put the numbers in order:
So the median is 
The mode of a set of data is the value which occurs most frequently, which is 
Example Question #7 : How To Find Mode
Compare the mean and the mode in the following set of data:
The mean and the mode are equal.
It is not possible to compare the mean and the mode based on the information given.
The mode is greater than the mean.
The mean is greater than the mode.
The mean is greater than the mode.
The mode of a set of data is the value which occurs most frequently, which in this case is 
The mean of a set of data is given by the sum of the data, divided by the total number of values in the set. So we can write:
So the mean of is greater than the mode.
Example Question #8 : How To Find Mode
Compare the mean and the mode in the following set of data:
It is not possible to compare the mean and the mode based on the information given.
The mode is greater than the mean.
The mean is greater than the mode.
The mean and the mode are equal.
The mean is greater than the mode.
The mode of a set of data is the value which occurs most frequently, which in this case is 
The mean of a set of data is given by the sum of the data, divided by the total number of values in the set. So we can write:
So the mean is greater than the mode.
Example Question #141 : Data Analysis
Consider the following set of data where 
Which one is greater:
It is not possible to compare the mean and the mode based on the information given.
The mode of a set of data is the value which occurs most frequently. The value of 
Example Question #142 : Data Analysis
A data set has six known quantities and one unknown quantity, as follows:
Which is the greater quantity?
(A) The mode of the set if
(b) The mode of the set if
(A) is greater
It is impossible to determine which is greater from the information given
(A) and (B) are equal
(B) is greater
(A) is greater
The mode of a data set is the element that occurs most frequently.
If 
The mode is 35, which occurs three times, more than any other element.
If 
The mode is 25, which occurs three times, more than any other element.
(A) is greater.
Example Question #143 : Data Analysis
Consider the data set 
Which of the following elements replaces the box to make the data set bimodal?
(A)
(B)
(C)
(A) only
(B) only
None of (A), (B), or (C) are correct.
(A), (B), and (C) are all correct.
(C) only
None of (A), (B), or (C) are correct.
At current, 40 appears four times, more than any other value. For a set to be bimodal, it needs to have two modes; that is, another value would have to appear four times as well. Regardless of whether 30, 50, 60, or any other value replaces the box, this is impossible. The set cannot be made bimodal by adding one element.
Example Question #144 : Data Analysis
Both
and
are data sets with 2 as their only mode.
Which is the greater quantity?
(a)
(b)
It cannot be determined which of (a) and (b) is greater
(a) is the greater quantity
(a) and (b) are equal
(b) is the greater quantity
It cannot be determined which of (a) and (b) is greater
The mode of a data set is the element that occurs the most frequently in the set.
In the data set 
In the data set 
We therefore know that 
All ISEE Upper Level Quantitative Resources
