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Elza [17]
3 years ago
6

Use the data given below to answer the following questions 68,63,67,66,65,87,69,61,86,82,28, a. What is the outlier of the data?

Explain why you consider this number the outlier b.Calculate the mean of the given data set.You must show your work to receive all possible points.c. Calculate the mean of the given data set excluding the outlier value. You must show your work to receive all possible points
Mathematics
2 answers:
AnnyKZ [126]3 years ago
7 0

Answer:

A)28

B)67.45

C)71.4  

Step-by-step explanation:

We are given the following data:

68,63,67,66,65,87,69,61,86,82,28

a) The outlier in the data is 28 as we can clearly see all the data points in the given data set ranges from 60 to 88 but their is a single entry of 28 which is different.

b) Mean = \frac{\text{Sum of all observations}}{\text{Total number of observations}}\\\\ = \frac{68+63+67+66+65+87+69+61+86+82+28}{11}\\\\=\frac{742}{11} = 67.45

c)Mean = \frac{\text{Sum of all observations}}{\text{Total number of observations}}\\\\ = \frac{68+63+67+66+65+87+69+61+86+82}{10}\\\\=\frac{714}{10} = 71.4

Lady_Fox [76]3 years ago
3 0
The outlier is 28 because there is a big gap between 28 and 61

to find the mean add all the numbers together then
divide the number of values added
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HELPPP<br> If YV = 28 in, find the length of VYX.
stealth61 [152]

Answer:

B) 68.91 inches

Step-by-step explanation:

To start, lets define what we are trying to find. VYX is the major arc VX, spanning from V to X crossing over Y.

We are also given that the diameter is 28 inches.

Since arc length and area are proportional to the central angle, we can create the following equality:

angle of VYX/360 = arc length of VYX/circumference

We know that the central angle of VYX = central angle of minor UV + UYX = 117 + (180-15) = 282 degrees.

282/360 * 28*pi = arc length of VYX

Thus, the length of VYX = 68.90559887 inches

Thus, the correct answer is B, 68.91 in.

3 0
3 years ago
A high-altitude spherical weather balloon expands as it rises, due to the drop in atmospheric pressure. Suppose that the radius
lord [1]
The increase of the radius is a linear increase since we have the constant rate of 0.07 inches per second

The equation for a linear growth/decay is given by the form y=mx+c where m is the rate of increase and c is the value of y when x=0

We have 
m = 0.07 
c=36 when t=0

So the equation is r=0.07t+36

The length of the radius when t=400 seconds is
r=0.07(400)+36
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7 0
3 years ago
Need help on 11, 12, and 13
Sati [7]
11. is 25°
(Both triangles have two congruent angles which means the 3rd angle is bound to be the same. Just add the 90° and the 65° to get 155 and subtract from 180° because all triangles equal 180°)
12. is 25°
(Same as before, two of the angles are congruent so the third one is the same. Add all of the angles together and have them equal 180° because their is a variable present. 2x+60+70=180 or 2x+130=180. subtract 130 from both sides to get the equation 2x=50 and then divide both sides by 2 to get x=25.)
13. y=14 and x=11.6 (assuming m<d says 15x ÷ 2 because I couldn't really read it)
(m<a = m<d and m<b = m<e because they are lined up together in the ABC and DEF equation. so 3y=42 and (15x÷2=87)
7 0
3 years ago
NEED HELP WITH THIS ASAP!!
Len [333]
It would be the third one
8 0
2 years ago
Andrea has some money. Her brother gives her 7 coins worth 23 cents and now she has 73 cents. If she started with 5 coins, what
Nat2105 [25]

Andrea had 5 coins worth 50 cents ! And , thereafter her brother gave her 7 coins worth 23 cents .

<u>Step-by-step explanation:</u>

Here we have , Andrea has some money. Her brother gives her 7 coins worth 23 cents and now she has 73 cents. If she started with 5 coins, We need to find what coins did Andrea's brother give her and what coins did Andrea start with. Let's find out:

Andrea has some money  , and her brother gives her 7 coins ! worth 23 cents . So , 1 coin worth is :

⇒ \frac{23}{7}

⇒ 3.29cents

Now , she had a total of 73 cents i.e.

⇒ 73 = x+23

⇒ x=50

Initially Andrea had 5 coins worth 50 cents ! And , thereafter her brother gave her 7 coins worth 23 cents .

3 0
3 years ago
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