Pertanyaan

Perhatikan tabel pengukuran berulang tebal plat dalam mm di bawah ini! Percobaan & mathbf(x) & mathbf(x)^2 1. & 8 & 64 2. & 6 & 36 3. & 7 & 49 mathrm(N)=3 & Sigma mathrm(x)=21 & Sigma mathrm(x)^2=149 hasil pengukuran berulang beserta ketidakpastiannya A 7 pm 0,077 mathrm(~mm) . B 7 pm 0,577 mathrm(~mm) . C 7 pm 0,977 mathrm(~mm) . D 8 pm 0,577 mathrm(~mm) .

Solusi

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Jawaban

### B

Penjelasan

## Step 1: Understanding the Data### The table provides measurements from three experiments with values of as 8, 6, and 7. The sum of these values is 21, and the sum of their squares is 149.## Step 2: Calculating the Mean### The mean ( ) of the measurements can be calculated using the formula: where and . Thus, ## Step 3: Calculating the Standard Deviation### The standard deviation ( ) is calculated using the formula: First, calculate :- For : - For : - For : Thus, .Now, calculate the standard deviation: ## Step 4: Determining the Uncertainty### The uncertainty in the measurement is typically given by the standard deviation divided by the square root of the number of measurements: ## Step 5: Selecting the Correct Option### Based on the calculated mean and uncertainty, the correct option should reflect a mean of 7 and an uncertainty of approximately 0.577 mm.