Median - Basic Arithmetic

The median of a set of numbers is the number that falls in the middle when the numbers are arranged from smallest to largest: 3, 3, 5, 6, 18. The number that falls exactly in the middle of this set is 5, which is the median.

First put your set in numerical order, from smallest to largest

Median refers to the number in the middle, so if you count in from both sides the middle number of the set is

The median is the middle number of an ordered number set. By ordered number set, I mean that the numbers are arranged from lowest to largest. In this problem, we can arrange the number set from lowest to largest so that it is rewritten as

5, 5, 6, 7, 8, 9, 9, 9, 10, 14, 15, 15, 16, 18, 19

It looks like the middle-most number is 9. Therefore, 9 is the median.

The median of a set of numbers is simply the middle number in the ordered set. To find it, we can first put the set in order from least to greatest (greatest to least works just as well). The set can now be read as

Now, it is clear that the median number is 46. Don't confuse median and mean! The mean, or average value, is the result of the sum of all the values divided by the number of terms in the set.

If you reorganize the numbers and put them in ascending order, you get:

.

The median is the number which falls in the middle of a set. Our set has entries therefore to find the true middle of the set we will need to take entry five and six and find its mean. We do this by adding entry five and entry six together and then dividing by two:

Therefore the median of our set is .

To find the median, first put all the numbers in numerical order.

The median is our middle number. Because this set has 6 numbers, our median will fall in between 88 and 92. Average those two numbers to find the median.

The correct answer to this question is 50. In order to approach the problem, you must first start by placing the numbers in order from least to greatest: 27, 34, 44, 56, 67, and 84.

Since there are six numbers in the set, there is not a single number in the middle of the set to be the median.

In this case, we have two numbers in the middle of the set: 44 and 56.

In order to obtain the median, we must take the average of these two numbers.

We do this by completing the following equation:

To solve this problem, we need to remember the definitions of mean, median, and mode:

Mean is the average of all numbers of a given set: we find this by adding all the numbers together and dividing by the total number of numbers there are.

Median is the middle of a data set: if we align all the numbers of a set, and cross off the numbers on each end until we reach the middle, that middle number is the median of the data set.

Mode is the number which appears most commonly in a data set.

Therefore, to find the median and mode of the above set, if would be helpful to arrange the set in numerical order:

The median is the number in the direct middle of the set. In this case, that would be . The mode is the number which appears most often in the set. Since it appears three times, is the mode of our set. Our final step is to find the mean of these two numbers:

Our final answer is therefore .

The median is the middle number of a set of numbers listed in ascending order.

Start by listing out how many hot dogs Bob ate, in ascending order.

is the number right in the middle of the set, so it must be the median.

The median is the middle number in a set of numbers listed in ascending order.

First, list the given numbers from smallest to largest.

Now, the middle number here is because it has 2 terms on either side.

To find median, we must arrange the numbers in increasing order. The larger the negative value, the smaller it is. We get .Then, we count the numbers in the set. There are six. Since six is an even number, we go to the two middle numbers which are and . We average the two numbers to get .

To find median, we must arrange the numbers in increasing order. The larger the negative value, the smaller it is. We get .Then, we count the numbers in the set. There are seven. The middle number is .

To find the median, the first step is always to order the data set from least to greatest, as terms like median and range always refer to the ordered set:

To find the middle number, take the total or number of values (not the values themselves), add 1, then divide by 2 to find the place of the median value. Since there are 13 numbers in this data set, is 13:

Thus, our 7th number, or 9, is the median.

To find the median, the first step is always to order the data set from least to greatest, as terms like median and range always refer to the ordered set:

The median value is found by adding 1 to our , then dividing by 2 to find the place for our median:

Thus, halfway between our 5th and 6th value lies the median. These values are 18 and 19, so:

Thus, 18.5 is our median.

The median is defined as the piece of data that is directly at the center of the data set given.

To find the median, the data first must be placed in numerical order:

.

Since there is and odd number of data pieces, , we simply subtract , and divide the result in half. In this case, , half of is . Therefore, there must be pieces of data on either side of the number that is the median. The only number in this set of data that, if chosen, has three data pieces on either side is To the left of is . To the right of is . Thus is our median.

The median is defined as the center data value of the data set. This data set is already set in numerical order:

.

Since there is an odd number of data values, , we subtract one, , and then divide ten in half, . This means that there must be five data values on either side of the median. To satisfy this requirement, the median must be at the sixth spot.

Thus for this data set:

, the median is .

To find the median of a data set, we must find the center of the data. If the data set has an odd number of data values, simply subtract one, and then divide in half. Your result will be the amount of values that lie on each side of the median.

However, when there is an even amount of data values, there is no definite center of the data set. The most commonly used method of finding the median given an even amount of data values is to simply cross off data values on either ends of the set until we are left with two numbers in the center:

. In this set and are the center numbers.

Now we can find the average of these two values:

Thus, our true center of the data set lies between the numbers and , .

The median is defined as the center number of the data. To find this value, the first step is to place the numbers in numerical order.

.

Since there are 7 pieces of data, and odd number, we can subtract one, and then divide the answer in half.

This means that the median has to have 3 data values on either side of it.

To satisfy this requirement, our median must be

To find the median, we first must put the numbers in numerical order:

Since there are 9 pieces of data, we subtract one and then divide in half.

.

This means that there must be 4 pieces of data on either side of the number that is the median.

To satisfy this requirement, must be the median.