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dsp73
2 years ago
10

Find the mean median mode and range for the following data 77 60 59 70 89 95

Mathematics
1 answer:
Advocard [28]2 years ago
7 0

Answer:

Mean = 75

Median = 73.5

Mode = 95

Range = 36

Step-by-step explanation:

Given:

  • 77,60,59,70,89,95

Sort:

  • 59,60,70,77,89,95

To find:

  • Mean
  • Median
  • Mode
  • Range

Mean:

\displaystyle \large{\dfrac{1}{n}\sum_{i =1}^n x_i = \dfrac{x_1+x_2+x_3+...+x_n}{n}}

Sum of all data divides by amount.

\displaystyle \large{\dfrac{59+60+70+77+89+95}{6}=\dfrac{450}{6}}\\\\\displaystyle \large{\therefore mean=75}

Therefore, mean = 75

Median:

If it’s exact middle then that’s the median. However, if two data or values happen to be in <em>middle</em>:

\displaystyle \large{\dfrac{x_1+x_2}{2}}

From 59,60,70,77,89,95, since 70 and 77 are in middle:

\displaystyle \large{\dfrac{70+77}{2} = \dfrac{147}{2}}\\\displaystyle \large{\therefore median = 73.5}

Therefore, median = 73.5

Mode:

The highest value or/and the highest amount of data. Mode can have more than one.

From sorted data, there are no repetitive data nor same data. Consider the highest value:

Therefore, mode = 95

Range:

\displaystyle \large{x_{max}-x_{min}} or highest value - lowest value

Thus:

\displaystyle \large{95-59 = 36}

Therefore, range = 36

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Answer:

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Kristen writes 2 pages of notes per hour in class. This is the rate of change. The function can be written as a linear equation y = mx where m = 2 pages per hour.

The function is y = 2x where x is hours in class and y is the number of pages.

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3 years ago
Let x be a continuous random variable that is normally distributed with a mean of 25 and a standard deviation of 6. Find the pro
Agata [3.3K]

Answer:

i think it is between 22 and 35

Step-by-step explanation:

6 0
3 years ago
How many solutions y=x^2-10x+25
MrRissso [65]
<h2>There are infinite solution of y.</h2>

Step-by-step explanation:

Given,

y = x^2 - 10x + 25

To find, the total number of solutions = ?

∴ y = x^2 - 10x + 25

⇒ y = x^2 - 2(x)(5) + 5^2

⇒ y = (x-5)^{2}

There are infinite solution of y.

Thus, there are infinite solution of y.

7 0
3 years ago
Write the equation of a line that<br> goes through the point (-2, 3)<br> with a slope of 2.
bezimeni [28]

Answer:

y = 2x + 7

Step-by-step explanation:

y = mx + b  The point (-2,3) gives us an x value and a y value that we can use.  We are also give the slope (m).  All we need to do is figure out the b (y-intercept) value.

y = mx + b

3 = 2(-2) + b

3 = -4 + b  Add for to both sides

7 = b  We know have every thing that we need to write the equation.  We have the slope (m) which is 2 and the b (y-intercept) that we just figured out is 7

y = 2x + 7

4 0
8 months ago
Read 2 more answers
g The tangent plane to z=f(x,y) at the point (1,2) is z=5x+2y−10. (a) Find fx(1,2) and fy(1,2). fx(1,2)= Number fy(1,2)= Number
murzikaleks [220]

Answer:

The values for Fx(1,2) and Fy(1,2) are 5 and 2 respectively.

Approximation at points (1.1,1.9) is 0.7

Step-by-step explanation:

Given:

Tangent plane to  a surface z=5x+2y-10 as the function at point (1,2)

To find :

f(x,y) at (1,2)

partial derivatives of function w.r.t. (x and y) and value of that function at given points.

Solution:(refer the attachment also)

Now we know that

the equation of tangent plane at given points to the surface is given by,

f(x1,y1,z1) and z=f(x,y)

z-z1=Fx(x1,y1)*(x-x1)+Fy(x1,y1)*(y-y1)

here Fx(x1,y1) and Fy(x1,y1) are the partial derivatives of x and y.

now

taking partial derivative w.r.t. x we get

Fx(x1`,y1)=\frac{d}{dx} (5x+2y-10)

=5.

Then w.r.t y we get

Fy(x1,y1)=

\frac{d}{dy}(5x+2y-10)

=2.

The values for Fx(1,2) and Fy(1,2) are 5 and 2 respectively.

Using the Linearization or linear approximation we get

L(x,y)=f(x1,y1)+Fx(x,y)*(x-x1)+Fy(x,y)(y-y1)

=-1+5(x-1)+2(y-2)

=5x+2y-10

Approximation at F(1.1,1.9)

=5(1.1)+2(1.9)-10

=5.5+3.8-10

=0.7

Approximation at points (1.1,1.9) is 0.7

6 0
2 years ago
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