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S_A_V [24]
3 years ago
15

Find the mean median and mode of 5, 9, 7, 12, 6, 4, 10, 8, 14, 9, 4

Mathematics
1 answer:
Artemon [7]3 years ago
8 0

Answer:

Mean:8

Median:8.5

Mode:9,4

Step-by-step explanation:

Mean Steps:

mean(5,9,7,12,6,4,10,8,14,9,4)

To find the mean of the set 5,9,7,12,6,4,10,8,14,9,4 first add the members together.

5+9+7+12+6+4+10+8+14+9+4=88

The mean (average) of the set 5,9,7,12,6,4,10,8,14,9,4 is found by dividing the sum of its members by the number of the members, in this case 11.

88/11 = 8

Mode Steps:

Mode(5,9,7,12,4,10,8,14,9,4)

The mode of a set is the value that appears most often. The mode can have more than one value if two or more values appear the same number of times and more times than any other values in the set.

mode(5,9,7,12,4,10,8,14,9,4)

Putting the numbers in order can make it easier to find the mode because values that appear more than once will be next to each other.

4,4,5,7,8,9,9,10,12,14

In this case the mode has more than one value because 9 and 4 both appear 2 times, more often than any other values.

mode(4,4,5,7,8,9,9,10,12,14)=9,4

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Write an equation of the perpendicular bisector of the segment with the endpoints (8,10) and ( -4,2).
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Answer:

The required equation is:

y = -\frac{3}{2}x+9

Step-by-step explanation:

To find the equation of a line, the slope and y-intercept is required.

The slope can be found by finding the slope of given line segment. A the perpendicular bisector of a line is perpendicular to the given line, the product of their slopes will be -1 and it will pass through the mid-point of given line segment.

Given points are:

(x_1,y_1) = (8,10)\\(x_2,y_2) = (-4,2)

We will find the slope of given line segment first

m = \frac{y_2-y_1}{x_2-x_1}\\= \frac{2-10}{-4-8}\\=\frac{-8}{-12}\\=\frac{2}{3}

Let m_1 be the slope of perpendicular bisector then,

m.m_1 = -1\\\frac{2}{3}.m_1 = -1\\m_1 = \frac{-3}{2}

Now the mid-point

(x,y) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\= (\frac{8-4}{2} , \frac{10+2}{2})\\=(\frac{4}{2}, \frac{12}{2})\\=(2,6)

We have to find equation of a line with slope -3/2 passing through (2,6)

The equation of line in slope-intercept form is given by:

y = m_1x+b

Putting the value of slope

y= -\frac{3}{2}x+b

Putting the point (2,6) to find the y-intercept

6 = -\frac{3}{2}(2)+b\\6 = -3+b\\b = 6+3 =9

The equation is:

y = -\frac{3}{2}x+9

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3 years ago
joe has 82 yards of cotton yarn to make a baseball.his friens has 104 more yards than him. howmany more yardsof corton yarn does
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Joe has 82 yards of cotton. His friend has 104 more

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186 yards is how much cotton yarn his friend has

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