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Answer:
(d) 16.07
Step-by-step explanation:
Step 1
We find the mean
Formula = Sum of Terms/Number of Terms
= 160+ 215 + 195/3
= 570/3
= 190
Step 2
We find the Standard Deviation
We use the formula for Sample Standard deviation =
√Mean - x/n - 1
n = 3
= √[(160 - 190)² + (215 - 190)² + (195 - 190)²]/3 - 1
= √1550/3
= √775
= 27.83882181
Approximately = 27.84
Step 3
We find the Standard Error of the mean
The formula = Standard deviation/√n
= 27.84/√3
= 16.07
Option d is correct
Based on the information given, the standard error of the mean of these three weights is 16.07.
The mean of the numbers will be:
= (160 + 215 + 195)/3
= 190
The standard deviation will be approximately 27.84.
Lastly, the standard error will be:
= 27.84 × ✓3
= 16.07
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