Find the sample standard deviation from the set of measurements below. $9,238 \mathrm {~m} , 9,224 \mathrm {~m} , 9,235 \mathrm {~m} , 9,232 \mathrm {~m} , 9,237 \mathrm {~m}$
A) $s = 5 \mathrm {~m}$
B) $s = 10 \mathrm {~m}$
C) $s = 8 \mathrm {~m}$
D) $s = 1 \mathrm {~m}$
E) $s = 13 \mathrm {~m}$

Question

Quizplus · Accepted Answer

The sample standard deviation $s$ is calculated using the formula $s = \sqrt{\frac{1}{n-1} \sum_{i=1}^{n} (x_i - \bar{x})^2}$, where $x_i$ are the data points, $\bar{x}$ is the mean of the data points, and $n$ is the number of data points. Calculating the mean $\bar{x}$ of the given data points $9,238$, $9,224$, $9,235$, $9,232$, $9,237$ gives $\bar{x} = 9,233.2$. Then, calculating the sum of the squared differences from the mean and dividing by $n-1$ (in this case, 4), and taking the square root gives $s = 5 \mathrm{~m}$.

Find the Sample Standard Deviation from the Set of Measurements 9,238 m,9,224 m,9,235 m,9,232 m,9,237 m9,238 \mathrm {~m} , 9,224 \mathrm {~m} , 9,235 \mathrm {~m} , 9,232 \mathrm {~m} , 9,237 \mathrm {~m}9,238 m,9,224 m,9,235 m,9,232 m,9,237 m

Find the Sample Standard Deviation from the Set of Measurements $9,238 \mathrm {~m} , 9,224 \mathrm {~m} , 9,235 \mathrm {~m} , 9,232 \mathrm {~m} , 9,237 \mathrm {~m}$