ISEE Upper Level Math : ISEE Upper Level (grades 9-12) Mathematics Achievement
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Example Questions
Example Question #83 : Data Analysis And Probability
In a class of 
| Number of Siblings | Number of Students with the Specific Number of Siblings |
| 0 | 5 |
| 1 | 9 |
| 2 | 4 |
| 3 | 2 |
What is the mean number of siblings for this class?
Recall that the mean is another way of saying "average."
To find the average, we will need to find the total number of siblings the class has, then divide by the number of students in the class.
Thus, the mean number of siblings the class has is
Example Question #83 : Data Analysis
Michael received the following scores on his last four French tests: 65, 58, 69, 58.
If his mean test score must be a 70 in the class to pass, what must he score on his fifth test?
Remember that the mean is the same as the average.
Let 
Solve for 
Michael must score 
Example Question #643 : Isee Upper Level (Grades 9 12) Mathematics Achievement
Over the course of seven games, Joanna scored the following number of points for her high school's varsity basketball team:
In order for her to be considered for the state-wide all-star team, she needs to have a mean score of 15 points per game for the entire season. If there is only one game left in the season, how many points must Joanna score in order to make it on to the all-star team?
Recall that the mean is just the same as the average. Let 
Now, solve for 
Joanna must score 
Example Question #644 : Isee Upper Level (Grades 9 12) Mathematics Achievement
Use the following data set of test scores to answer the question:
Find the mean.
To find the mean of a data set, we will use the following formula:
Now, given the set of test scores, we can calculate the following:
Now, we will calculate the following:
because there are 8 numbers in the set.
Knowing all of this, we can substitute into the formula. We get
Therefore, the mean score of the tests is 90.
Example Question #641 : Isee Upper Level (Grades 9 12) Mathematics Achievement
The data set below represents a class's scores on a recent math test. What is the mode score in the data set?
The mode is simply the value that appears most often in a given data set. In this data set the value 77 appears three times. The value 68 appears twice. No other value appears more than once, which means 77 is the mode.
You may want to arrange the values in numerical order if it helps you see the repeating values, but it isn't required.
Example Question #642 : Isee Upper Level (Grades 9 12) Mathematics Achievement
Examine the data set 
Which value(s) of 
Any integer from 1 to 10 except 5.
Any integer from 1 to 10.
This is impossible for any value of 
1, 3, 5, 7, or 9.
Only 5.
Only 5.
The mode of a data set is the element that appears most frequently; a data set with no mode has all of its elements appear exactly once.
All of the integers from 1 to 10 except for 5 are known to appear in this data set at least once. If 
Example Question #643 : Isee Upper Level (Grades 9 12) Mathematics Achievement
Give the mode(s) of the data set:
The data set has no mode.
The mode of a data set is the element that appears most frequently. In this set, that element is 
Example Question #644 : Isee Upper Level (Grades 9 12) Mathematics Achievement
Give the mode(s) of the data set
The data set has no mode.
The mode of a data set is the element that appears the most frequently. When two numbers both appear most frequently, there are two modes:
Example Question #645 : Isee Upper Level (Grades 9 12) Mathematics Achievement
Find the mode and the median of the frequency distribution shown in the following table:
The mode is the value that appears most often or has more frequency which is 
Example Question #1 : How To Find Mode
in the following set of data the mode is 
The mode is the value that has more frequency in a given set of data than other values. Among the given frequencies in this problem, 
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