Math  /  Data & Statistics

QuestionSabine records the daily heights of a random sample of bamboo stalks, in inches. They are: 20,19,17,16,18,15,20,2120,19,17,16,18,15,20,21
Consider the formulas: A:s2=(x1xˉ)2+(x2xˉ)2++(xnxˉ)2n1A: s^{2}=\frac{\left(x_{1}-\bar{x}\right)^{2}+\left(x_{2}-\bar{x}\right)^{2}+\ldots+\left(x_{n}-\bar{x}\right)^{2}}{n-1} B:s=(x1xˉ)2+(x2xˉ)2++(xnxˉ)2n1B: s=\sqrt{\frac{\left(x_{1}-\bar{x}\right)^{2}+\left(x_{2}-\bar{x}\right)^{2}+\ldots+\left(x_{n}-\bar{x}\right)^{2}}{n-1}} C σ2=(x1μ)2+(x2μ)2++(xNμ)2N\sigma^{2}=\frac{\left(x_{1}-\mu\right)^{2}+\left(x_{2}-\mu\right)^{2}+\ldots+\left(x_{N}-\mu\right)^{2}}{N} D:σ=(x1μ)2+(x2μ)2++(xNμ)2ND: \sigma=\sqrt{\frac{\left(x_{1}-\mu\right)^{2}+\left(x_{2}-\mu\right)^{2}+\ldots+\left(x_{N}-\mu\right)^{2}}{N}}
Which formula should you use for variance? \square Which formula should you use for standard deviation? \square DONE -

Studdy Solution
Since the data is a sample, use the formula for sample standard deviation. The correct formula is:
B:s=(x1xˉ)2+(x2xˉ)2++(xnxˉ)2n1 B: s=\sqrt{\frac{\left(x_{1}-\bar{x}\right)^{2}+\left(x_{2}-\bar{x}\right)^{2}+\ldots+\left(x_{n}-\bar{x}\right)^{2}}{n-1}}
The formula for variance is: A A
The formula for standard deviation is: B B

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