Math and Arithmetic

Statistics

Algebra

# How do you find the median if the amount of data is even?

###### Wiki User

###### November 15, 2010 4:42AM

If the number of data is even, the median can be found by listing all the data from least to greatest (or from greatest to least, it doesn't matter), crossing out one per side until you are left with two data, and then averaging the two data. For example:

1 2 3 4 5 6

First you cross out 1 and 6, then 2 and 5, so you are left with the middle two, 2 and 3. You average them by adding them together and then dividing by 2.

3 + 2 = 5

5/2 = 2.5

The median is 2.5.

## Related Questions

###### Asked in Math and Arithmetic

### How do use median in math?

To find the median of data, you first order all the data from
smallest to largest. The second step is to find the middle value on
the list. If there are an odd number of values, this is easy, you
simply take the middle value and that's the median. If there are an
even number of values, you find where the middle would be, and then
look at the numbers either side and take the mean of those two
numbers, and that's your median.

###### Asked in Math and Arithmetic

### How do you find the median of 4 numbers with 2 of those numbers being the same?

The fact that two of the four numbers are identical in no way
changes the way you would find the median.
When finding the median of a set of data, you must sort the data
from highest to lowest (or lowest to highest). The data point right
smack in the middle is the median. If there is an even number of
data points -- as is the case here -- you must take the average of
the two points in the middle.
Let's say these are your data: 10, 10, 6, 3. The median is the
average of 10 and 6, or 8.
If your data is 10, 6, 6, 3, then the median is 6.
If it's 10, 6, 3, 3, the median is 4.5 (the average of 6 and
3).

###### Asked in Math and Arithmetic, Algebra

### How can you find the median of the data without listing the values?

The median of a data set is the number that is literally in the
middle.
For example:
The median of the number set 1,1,3,4,7, is 3 because it is in
the physical middle of the set of numbers.
Note: To find a median, the numbers MUST be in written in
order
the median of 2,6,3, is not 6. You must rearrange them like:
2,3,6 and we can see 3 is the median

###### Asked in Math and Arithmetic

### What is the median of 5 15 9 and 13?

median of {5, 15, 9, 13} is 11
To find the median of a dataset sort the data into order and the
median is the middle one; if there are an even number of items in
the dataset, then the median is the mean average of the middle
two.
{5, 15, 9, 13} → {5, 9, 13, 15}
There are 4 data items,
→ median is mean of {9, 13} = (9 + 13) / 2 = 11.

###### Asked in Math and Arithmetic, Statistics

### How do find the interquartile range in your data?

Arrange the data in increasing order and count the number of
data points = N.
Find the integer K = N/2 or (N+1)/2.
The Kth number in the ordered set is the median.
Now consider only the numbers from the smallest to the median
and find the median of this subset. This is the lower quartile =
Q1.
Then consider only the numbers from the original median to the
largest. Find the median of this subset. It is the upper quartile =
Q3.
Then IQR = Q3 - Q1

###### Asked in Math and Arithmetic, Algebra, Prime Numbers, How To

### How to find out the median of first 10 prime numbers?

median means the middle score of the given no. of data
in case of even no.of data
arrange in ascending order(small to big)
median = n\2 +(n\2 + 1) {where n = no . of data}
5th data + 6th data\2
here : 2+3+5+7+11+13+17+19+23+29\2
: 24/2
median of first 10 prime no.s is 12
in case of odd no.of data:
arrange in ascending order(small to big)
strike from both ends and the left out data is the median
eg:
2,3,5,7,11,13,17,19,23
here: 11 is the median of the first 9 prime no.s