Answer:
x = 11, y = 22
Step-by-step explanation:
Using the tangent ratio in the right triangle and the exact value
tan60° = , then
tan60° = =
=
( multiply both sides by x )
11 = x ×
( divide both sides by
)
11 = x
Using Pythagoras' identity in the right triangle
y² = x² + (11 )² = 11² + 363 = 121 + 363 = 484 ( square root of both sides )
y = = 22
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