Answer:
Step-by-step explanation:
![\frac{34-40}{8}= -.75](https://tex.z-dn.net/?f=%5Cfrac%7B34-40%7D%7B8%7D%3D%20-.75)
Answer:
Sample mean =119.42
Median = 92
25% trimmed mean = 102.42
10% trimmed mean = 95.69
Step-by-step explanation:
Data in increasing order :
12 13 20 23 31 35 40 43 48 49 58 62 66 67 69 71 73 77 78 79 82 85 86 89 91 93 97 99 101 105 106 106 112 117 124 135 139 141 147 159 161 168 183 207 249 262 289 323 388 513
Total no. of observations = 50
Sample mean =
=
= 119.42
Median: Since we have even number of observation
Median =
=
= 92
10% Trimmed Mean: We remove 5 values from each side
Trimmed set = 35 40 43 48 49 58 62 66 67 69 71 73 77 78 79 82 85 86 89 91 93 97 99 101 105 106 106 112 117 124 135 139 141 147 159 161 168 183 207 249
Trimmed mean =
=
= 102.42
25% Trimmed Mean: We remove 12 values from each side.
Trimmed set = 66 67 69 71 73 77 78 79 82 85 86 89 91 93 97 99 101 105 106 106 112 117 124 135 139 141
Trimmed mean =
=
= 95.69
Answer:
c) -1
Step-by-step explanation:
-2-3-(-4)
=-5+4
=-1
TeX rendering has been iffy at best on this site for the past few days, at least in my experience. I've attached a solution below.
Answer:
5.7 units
Step-by-step explanation:
The distance from point P to QS is the distance from point P (1, 1) to the point of interception R(-3, 5).
Use distance formula to calculate distance between P and R:
![PR = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}](https://tex.z-dn.net/?f=%20PR%20%3D%20%5Csqrt%7B%28x_2%20-%20x_1%29%5E2%20%2B%20%28y_2%20-%20y_1%29%5E2%7D%20)
Let,
![P (1, 1) = (x_1, y_1)](https://tex.z-dn.net/?f=%20P%20%281%2C%201%29%20%3D%20%28x_1%2C%20y_1%29%20)
![R(-3, 5) = (x_2, y_2)](https://tex.z-dn.net/?f=%20R%28-3%2C%205%29%20%3D%20%28x_2%2C%20y_2%29%20)
Plug in the values into the formula.
![PR = \sqrt{(-3 - 1)^2 + (5 - 1)^2}](https://tex.z-dn.net/?f=%20PR%20%3D%20%5Csqrt%7B%28-3%20-%201%29%5E2%20%2B%20%285%20-%201%29%5E2%7D%20)
![PR = \sqrt{(-4)^2 + (4)^2}](https://tex.z-dn.net/?f=%20PR%20%3D%20%5Csqrt%7B%28-4%29%5E2%20%2B%20%284%29%5E2%7D%20)
![PR = \sqrt{16 + 16}](https://tex.z-dn.net/?f=%20PR%20%3D%20%5Csqrt%7B16%20%2B%2016%7D%20)
![PR = \sqrt{32}](https://tex.z-dn.net/?f=%20PR%20%3D%20%5Csqrt%7B32%7D%20)
(to nearest tenth)