Algebra - How to find median

Find the median of the following set of numbers:

$(2.55, 21, i^2, 56, 3.1, -55, \pi,\sqrt{2})$

where i is the imaginary number, $\sqrt{-1}$ .

Explanation

$(2.55, 21, 56, 3.1, -55, \pi,\sqrt{2} )$

First, rank the number in increasing order, remember $\pi\approx3.14$ and $ \sqrt{2}\approx 1.41 $ and $ i^2=-1$

$($ $-55, i^2, $ $\sqrt2 ,$ $2.55 ,$ $ 3.1 ,$ $\pi,21 ,$ $56)$

Since there is an even number of items in the set, the median is the averaege of the two center numbers:

Median:

What is the median of ?

$\frac{9}{2}$

Explanation

In order to find the median of a set of numbers, we must find identify the middle number of the set when all of the set's numbers are arranged in ascending or descending order. Given , we know that the ordered set is . Since we have two numbers in the middle of the set, and , we must average the numbers to get the median, like so:

$\frac{4+5}{2}=\frac{9}{2}$

Find the median:

$\frac{18}{5}$

$\frac{9}{2}$

Explanation

Rearrange the numbers from least to greatest.

$[3,9,1,5,0]\rightarrow [0,1,3,5,9]$

The median is the central number of an odd dataset.

The answer is .

Find the median of the following set:

Explanation

To find the median of any set, arrange the set in order from lowest to highest, and then find the number in the middle. If two numbers split the middle, take the average of the two of them. The best answer is:

Find the median of the following set of numbers:

Explanation

The median is the number that separates the upper half of the data from the lower half. To find the median, order the given values in increasing order and find the number in the middle.

Since there is an even numer of numbers, the median is the average of the two middle values.

$median=\frac{43+82}{2}=62.5$

What is the median of ?

Explanation

In order to find the median of a set of numbers, we must find identify the middle number of the set when all of the set's numbers are arranged in ascending or descending order.

Given

we know that the ordered set is

and the median is therefore .

Find the median of the following data set:

Explanation

Find the median of the following data set:

Median is the middle value when the terms are arranged in ascending order.

Begin by ordering the terms from smallest to greatest:

Next, find the number in the middle. In this case, it is simply 36. Meaning that our answer is 36.

What is the median of the following of numbers?

Explanation

The median is the number in the middle once the set of numbers have been written in increasing order.

Thus, the median is .

Find the median:

$\frac{19}{2}$

$\frac{7}{2}$

$\frac{17}{2}$

$\frac{17}{3}$

Explanation

To find the median, first reorganize all the numbers in chronological order.

$[-5,9,-3,10,11,12]\rightarrow [-5,-3,9,10,11,12]$

Average the center two numbers of the even number data set.

$\frac{9+10}{2} = \frac{19}{2}$

The median is: $\frac{19}{2}$

Tom is driving from Los Angeles to San Francisco. During his drive, he cruise controlled his car for an hour at different speeds. These speeds were

What was the median of his speed when he was cruise controlling?

Explanation

This problem is asking us to solve for the median of Tom's speeds. Median is the exact center of a set.

In order to easily see which number is exactly in the center, we can first organize our data set from smallest to greatest.

Now we can easily identify the center value of the set by gradually crossing off numbers from either side of the data set until we are left with one value..

${\color{Red} 62},73,80,82,{\color{Red} 88}$

${\color{Red} 62,73},80,{\color{Red} 82,88}$

We are left with 80. Therefore the median of Tom's cruise control speeds is 80.

How to find median

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