### All ISEE Upper Level Math Resources

## Example Questions

### Example Question #33 : Data Analysis And Probability

Consider the data set

.

For what value(s) of would this set have median ?

**Possible Answers:**

Any number greater than or equal to

Any number except

Any number greater than

Any number less than

Any number less than or equal to

**Correct answer:**

Any number greater than or equal to

Arrange the eight known values from least to greatest.

For to be the median of the nine elements, it muct be the fifth-greatest, This happens if .

### Example Question #31 : Data Analysis And Probability

Consider the data set:

where is not known.

What are the possible values of the median of this set?

**Possible Answers:**

**Correct answer:**

The median of this nine-element set is its fifth-highest element. Of the eight known elements, the fourth-highest and fifth-highest elements are both 20. Regardless of the value of , 20 is the fifth-highest element of the nine.

### Example Question #35 : Data Analysis And Probability

Examine this stem-and-leaf display for a set of data:

What is the median of this data set?

**Possible Answers:**

**Correct answer:**

The "stem" of this data set represents the tens digits of the data values; the "leaves" represent the units digits.

There are 22 elements, so the median is the arithmetic mean of the eleventh- and twelfth-highest elements, which are 64 and 65, the middle two "leaves". Their mean is .

### Example Question #32 : Data Analysis And Probability

Determine the median of the following seven test scores:

**Possible Answers:**

**Correct answer:**

To determine the median of a set of numbers, you first need to order them from least to greatest:

Since there is an odd number of scores, the median is the score that falls exactly in the middle of the new list. Thus, the median is 88.

### Example Question #13 : How To Find Median

Determine the median of the following set of numbers:

**Possible Answers:**

**Correct answer:**

To determine the median of a set of numbers, you first need to order them from least to greatest:

Since there is an even amount of numbers, the median is determined by finding the average of the two numbers in the middle - 36 and 44.

Thus, the median is 40.

### Example Question #33 : Data Analysis And Probability

Find the median of the following numbers:

**Possible Answers:**

**Correct answer:**

The median is the center number when the data points are listed in ascending or descending order. To find the median, reorder the values in numerical order:

In this problem, the middle number, or median, is the third number, which is

### Example Question #41 : Data Analysis

What is the median of the following set?

**Possible Answers:**

**Correct answer:**

The first step towards solving for the set, is to reorder the numbers from smallest to largest.

This gives us:

The median is equal to middle number in s a set. In since this set has 6 numbers, which is even, the average of the middle two numbers is the mean. The average can be found using the equation below:

### Example Question #593 : Isee Upper Level (Grades 9 12) Mathematics Achievement

Find the median of the following data set:

**Possible Answers:**

**Correct answer:**

Find the median of the following data set:

Begin by putting your numbers in increasing order:

Next, identify the median by choosing the middle value:

So, our answer is 55

### Example Question #11 : How To Find Median

Find the median of the following data set:

**Possible Answers:**

**Correct answer:**

Find the median of the following data set:

Let's begin by rearranging our terms from least to greatest:

Now, the median will be the middle term:

### Example Question #595 : Isee Upper Level (Grades 9 12) Mathematics Achievement

Find the median of the following data set:

**Possible Answers:**

**Correct answer:**

Find the median of the following data set:

First, let's put our terms in increasing order:

Now, we can find our median simply by choosing the middle term.

So, 56 is our median.