Median - ISEE Upper Level Quantitative Reasoning

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

The median of nine (an odd number) integers is the one in the middle when the numbers are arranged in ascending order; in this case, it is the fifth lowest. Since the nine integers are consecutive, the greatest integer is four more than the median, or .

We know that the numbers should be arranged in ascending order to find the median. When the number of values is odd, the median is the single middle value. In this question we have consecutive integers with the median of . So the median is the number in the rearranged data set. Since the integers are consecutive, the smallest integer is five less than the median or it is equal to .

There are data values altogether. When the number of values is even, the median is the mean of the two middle values. So in this problem the median is the mean of the and largest values. So we can write:

So:

There are data values altogether. When the number of values is even, the median is the mean of the two middle values. So in this problem the median is the mean of the and largest values. So we can write:

So:

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.

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 .

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

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:

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:

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.

Find the median of the following data set:

First, let's put our terms in ascending order.

Now, our median will simply be the term which is in the middle.

So, our median is 67

To find the median of a data set, we will first arrange the numbers in ascending order. Then, we will locate the number in the center of the data set.

So, given the data set

we will arrange the numbers in ascending order. To do that, we will arrange them from smallest to largest. So, we get

Now, we will locate the number in the center of the data set.

We can see that it is 6.

Therefore, the median of the data set is 6.

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 .

Recall that the median is the middle number of a data set, when the data has been put in ascending order.

Start by writing out all the individual data points in ascending order:

Since we have an even number of students in the class, the median number will be between the middle two data points. In this case, the middle two points are both , so the median must also be .

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, and .

Take the average of these two numbers to find the number that is exactly in the middle.

His median test score is .

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.

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.

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.