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Sedaia [141]
2 years ago
8

Solve for the mean and median of the following data: 20, 10, 15, 18, 12, 17

Mathematics
1 answer:
loris [4]2 years ago
3 0
<h2><u>Mean and Median</u></h2>

<h3>solve for the mean and median of the following data: 20, 10, 15, 18, 12, 17</h3>

<h3><u>Mean</u></h3>

To find the mean of a data set, use the formula:

<u>mean</u> = <u>sum of the data points</u>/<u>number of the data points</u>

We will determine the sum of the data points.

  • 20 + 10 + 15 + 18 + 12 + 17 = 92

Since the number of data points is 6, we will divide the sum and the number of data points as shown in the formula above.

  • 92/6
  • 15.3

<u>Answer:</u>

  • The mean of the data set is <u>15.3</u>.

<h3><u>Median</u></h3>

To find the median of the data set, arrange the data set into ascending order and the value in the middle is the median. The median should be an even number.

  • 20, 10, 15, 18, 12, 17
  • 10, 12, 15, 17, 18, 20

The middle value is 15 and 17. Find out their sum and divide it into 2.

  • 15 + 17/2
  • 32/2
  • 16

<u>Answer:</u>

  • The median of the data set is <u>16</u>.

Wxndy~~

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Kellan collected two sets of data and recorded them in the table. 
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Answer:

Set 2 has a wider spread and has range of 27

Explanation:

We are given the below two sets of data:

Set 1             Set 2

17                     81

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18                     94

24                     68

21                      95

Now, let's find the range of Set 1:

Range=Maximum-Minimum

        =24-13

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Now, let's find the range of Set 2:

Range= Maximum -Minimum

        =95-68

        =27

Since, the Set 2 has more range, therefore, Set 2 has a wider spread and a range of 27  

3 0
3 years ago
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tankabanditka [31]
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The easiest one to use if it is available to you, is factoring. The quadratic may not be factorable. But if it is and you can see it, then this gives you 2 points immediately (the roots) and a third without much trouble (the y intercept). Factoring will also give you the x value of the vertex. (Find the average between the 2 roots)

This needs an example
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Completing the square always gives you the minimum or maximum right away. For example if you have y = (x - 2)^2 - 5 it means you have the vertex at (2,-5) You can get the roots easily enough.  So this form is useful, but not as sure as the quadratic equation or as simple as factoring.

Graphing is the most certain way to check your answer. I find it the most useful thing to do with modern computers. There are all sorts of things that a graph will reveal that algebra by itself might be laborious and prone to leading you to mistakes. Graphing tends to correct that problem.
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3 years ago
A rectangle has vertices E(-4, 8), F(2, 8), G(2, -2) and H(-4, -2). The rectangle is dilated with the origin as the center of di
Marizza181 [45]

Answer:

The dilation on any point of the rectangle is P'(x,y) = \frac{5}{2}\cdot P(x,y).

Step-by-step explanation:

From Linear Algebra, we define the dilation of a point by means of the following definition:

G'(x,y) = O(x,y) +k\cdot [G(x,y)-O(x,y)] (1)

Where:

G(x,y) - Coordinates of the point G, dimensionless.

O(x,y) - Center of dilation, dimensionless.

k - Scale factor, dimensionless.

G'(x,y) - Coordinates of the point G', dimensionless.

If we know that O(x,y) = (0,0), G(x,y) =(2,-2) and G'(x,y) =(5,-5), then scale factor is:

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k = \frac{5}{2}

The dilation on any point of the rectangle is:

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P'(x,y) = \frac{5}{2}\cdot P(x,y) (2)

The dilation on any point of the rectangle is P'(x,y) = \frac{5}{2}\cdot P(x,y).

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Answer:

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Step-by-step explanation:

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