ISEE Upper Level Math : ISEE Upper Level (grades 9-12) Mathematics Achievement
Study concepts, example questions & explanations for ISEE Upper Level Math
All ISEE Upper Level Math Resources
Example Questions
Example Question #47 : Data Analysis
A class completes a Math test. These are there scores:
Find the median grade.
To find the median of a data set, we will first arrange the numbers in ascending order. Then, we will find the number in the middle of the data set.
So, given the Math test scores
we will first arrange them in ascending order. To do that, we will arrange them from smallest to largest So, we get
Now, we will find the number in the middle of the set.
Therefore, the median of the set of Math test scores is 85.
Example Question #42 : Data Analysis And Probability
Find the median of the following data set:
Find the median of the following data set:
To find the median, first put the numbers in increasing order
Now, identify the median by choosing the middle term
In this case, it is 44, because 44 is in the middle of all our terms.
Example Question #601 : Isee Upper Level (Grades 9 12) Mathematics Achievement
For his last six math tests, Josh scored 92, 80, 88, 94, 97, and 95. What is his median test score?
The median is the number that is in the middle of an ordered list. Start by putting the numbers in ascending order:
Since we have an even number of test scores, the median will be the number that is in between the middle two numbers.
In this case, the median will have to be between 92 and 94.
The number that is exactly between these two numbers is 
Example Question #51 : Data Analysis And Probability
Michael received the following scores on his last four French tests: 65, 58, 69, 58. What is his median test score?
Remember that the median is the middle number of a data set when the data is sorted in numerical order.
Start by putting the numbers in ascending order:
Now, because there is an even number of test scores, the median will be in between the middle two numbers, 
Take the average of these two numbers to find the number that is exactly in the middle.
His median test score is 
Example Question #51 : Data Analysis
Use the following data set of test scores to answer the question:
Find the median.
To find the median of a data set, we will first arrange the numbers in ascending order. Then, we will find the number in the middle of the set. So, given the data set
We will arrange them in ascending order (from smallest to largest). We get
Now, we will find the number in the middle.
We can see that it is 86.
Therefore, the median of the data set of test scores is 86.
Example Question #52 : Data Analysis
Use the following data set to answer the question:
Find the median.
To find the median of a data set, we will first arrange the data set in ascending order. Then, we will find the number that is located in the middle of the set.
So, given the set
we will arrange the set in ascending order (from smallest to largest). We get
Now, we will locate the number in the middle of the set.
We can see that it is 6.
Therefore, the median of the data set is 6.
Example Question #602 : Isee Upper Level (Grades 9 12) Mathematics Achievement
Consider the following set of scores from a math test. What is the mean of these scores?
To find the mean, first sum up all the values.
The divide the result by the number of values
Example Question #603 : Isee Upper Level (Grades 9 12) Mathematics Achievement
The mean of six numbers is 77. What is their sum?
It cannot be determined from the information given.
The mean of six numbers is their sum divided by 6, so the sum is the mean multiplied by 6. This is:
Example Question #604 : Isee Upper Level (Grades 9 12) Mathematics Achievement
Sally's numeric grade in her economics class is determined by four equally weighted hourly tests, a midterm weighted twice as much as an hourly test, and a final weighted three times as much as an hourly test. The highest score possible on each is 100.
Going into finals week, Sally's hourly test scores are 89, 85, 84, and 87, and her midterm score is 93. What must Sally make on her final at minimum in order to average 90 or more for the term?
It is impossible for Sally to achieve this average this term.
Sally's grade is a weighted mean in which her hourly tests have weight 1, her midterm has weight 2, and her final has weight 3. If we call 
which simplifies to
Since Sally wants at least a 90 average for the term, we can set up and solve the inequality:
Sally must score at least 93 on the final.
Example Question #605 : Isee Upper Level (Grades 9 12) Mathematics Achievement
Fred's course average in French class is the average of the best five of his six hourly test scores. Going into finals week, Fred has scores of 78, 77, 84, 89, and 72. How much, at minimum, must Fred score on his sixth test in order to make an average of 80 or better for the term?
Fred is already assured an average of 80 or better for the term.
Fred is already assured an average of 80 or better for the term.
If Fred does not take the sixth test or gets a 0 on it, he will receive the average of his first five tests. This is
Since he can only improve his class grade by taking the sixth test, Fred is already assured of an average of 80 or better.
All ISEE Upper Level Math Resources
