Questions: Question Based on the following calculator output, determine the population standard deviation of the dataset, rounding to the nearest 10th if necessary. 1-Var-Stats x̄=48.7142857143 Σx=341 Σx^2=18251 Sx=16.5299151612 σx=15.3037277038 n=7 min X=23 Q1=35 Med2=52 Q3=67 max=68

Question Based on the following calculator output, determine the population standard deviation of the dataset, rounding to the nearest 10th if necessary. 1-Var-Stats x̄=48.7142857143 Σx=341 Σx^2=18251 Sx=16.5299151612 σx=15.3037277038 n=7 min X=23 Q1=35 Med2=52 Q3=67 max=68
Transcript text: Question Watch Video Show Examples Based on the following calculator output, determine the population standard deviation of the dataset, rounding to the nearest 10oth if necessary. \[ \begin{array}{l} \text { 1-Var-Stats } \\ \bar{x}=48.7142857143 \\ \Sigma x=341 \\ \Sigma x^{2}=18251 \\ S x=16.5299151612 \\ \sigma x=15.3037277038 \\ n=7 \\ \min \mathrm{X}=23 \\ \mathrm{Q}_{1}=35 \\ \mathrm{Med}_{2}=52 \\ \mathrm{Q}_{3}=67 \\ \max =68 \end{array} \] Answer Attempt 1 out of 2 $\square$ Subrmit Answer
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Solution

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Solution Steps

To determine the population standard deviation of the dataset, we can directly use the value provided by the calculator output. The population standard deviation is denoted by \(\sigma x\).

Solution Approach
  1. Identify the population standard deviation from the given calculator output.
  2. Round the value to the nearest hundredth if necessary.
Step 1: Identify the Population Standard Deviation

From the given calculator output, the population standard deviation is provided as: \[ \sigma x = 15.3037277038 \]

Step 2: Round to the Nearest Hundredth

We need to round the population standard deviation to the nearest hundredth: \[ \sigma x \approx 15.30 \]

Final Answer

\[ \boxed{\sigma x = 15.30} \]

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