Answer:
Step-by-step explanation:
1:4
1:2
5:1
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
Add them up and you have your answer
Answer:
see below
Step-by-step explanation:
(ab)^n=a^n * b^n
We need to show that it is true for n=1
assuming that it is true for n = k;
(ab)^n=a^n * b^n
( ab) ^1 = a^1 * b^1
ab = a * b
ab = ab
Then we need to show that it is true for n = ( k+1)
or (ab)^(k+1)=a^( k+1) * b^( k+1)
Starting with
(ab)^k=a^k * b^k given
Multiply each side by ab
ab * (ab)^k= ab *a^k * b^k
( ab) ^ ( k+1) = a^ ( k+1) b^ (k+1)
Therefore, the rule is true for every natural number n
Answer:
Sorry man but I can't see the question : (
Step-by-step explanation: