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attashe74 [19]
2 years ago
10

Find the median for the following set of data: 13,26,35,44,38,12,47,23,26

Mathematics
2 answers:
RoseWind [281]2 years ago
5 0
<h3>Given:</h3>
  • 13, 26, 35, 44, 38, 12, 47, 23, 26
<h3>To find:</h3>
  • The median of the given data set.
<h3>Solution:</h3>
  • Median is middle number of the given data set, or from the given numbers.

Let's start!

First, we'll have to arrange the given values in either ascending or descending order.

Here I'm arranging in ascending order to make it easier.

12, 13, 23, 26, 26, 35, 38, 44, 47

Now, we'll have to find the value in the middle.

12, 13, 23, 26, <u>26</u>, 35, 38, 44, 47

26 is the middle number when we cut off numbers equally from the left and right.

\large\boxed{\bold{Median= 26}}

<u>Therefore,</u><u> </u><u>the</u><u> </u><u>median</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>given</u><u> </u><u>data</u><u> </u><u>set</u><u> </u><u>is</u><u> </u><u>2</u><u>6</u>

WITCHER [35]2 years ago
4 0

\sf{\qquad\qquad\huge\underline{{\sf Answer}}}

For unorganized data, median is the middle value when the numbers are arranged in ascending order.

Let's proceed ~

In ascending order :

12, 13, 23, 26, 26, 35, 38, 44, 47

So, for given data... median is 26

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Find the distance between the origin and the points (-8,4)​
Papessa [141]

Hi, I'm happy to help!

To solve this, we need to find the distance from the origin to the y coordinate value, x coordinate value, then use the Pythagorean Theorem.

The origin of a graph (center) has the coordinates (0,0), so this will be our other coordinates.

First, let's find the x coordinate distance change. We move from the x coordinate 0, to the x coordinate -8, <u>so we move 8 x units.</u>

Next, let's find the y coordinate distance change. We move from the y coordinate 0, to the y coordinate 4, <u>so we move 4 y units.</u>

Now that we have these two leg lengths, let's imagine this as a right triangle. Moving from the origin, we draw a line from (0,0), to (-8,0). Then, we draw a line from (-8,0) to (-8,4). Now, draw a direct line from (0,0), to (-8,4). We have the length of the first(8) and second(4) lines, and we need to find the third line length to find our answer. To do this, we use the Pythagorean Theorem, which states that a²+b²=c². This says that, in a right triangle, the square of the two shorter lengths equals the square of the longest length. The longest length is what we are solving for.

Let's say x distance is a, and y distance is b. Now, apply the values:

8²+4²=c²

64+16=c²

80=c²

Now, we need to find the value of c, so we need to find the square root of 80.

√80=c

8.9442...=c

Since the number goes on forever, we need to round it. For this example, let's round it to the nearest tenth, which would be 8.9.

<u>To summarize the distance between the origin and the coordinates (-8,4), is about 8.9.</u>

I hope this was helpful, keep learning! :D

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