What is the ratio of the largest sample standard deviation to the smallest standard deviation for the groups? (round your answer to one decimal place)

To determine the ratio of the largest sample standard deviation to the smallest sample standard deviation for groups, we will need the standard deviations of the groups. Since those values were not provided, I will outline the steps you can take to calculate the ratio once you have the necessary data.

1. Break Down the Problem

1. Identify the sample standard deviations for each group.
2. Find the largest and smallest standard deviations from the identified values.
3. Calculate the ratio of the largest to the smallest standard deviation.

2. Relevant Concepts

The sample standard deviation $s$ of a group can be calculated using the formula: $s = \sqrt{\frac{1}{n-1} \sum_{i=1}^{n} (x_i - \bar{x})^2}$ where:

• $n$ = number of samples
• $x_i$ = each value in the sample
• $\bar{x}$ = mean of the sample

3. Analysis and Detail

• Once you calculate the standard deviations for all groups, list them out.
• Determine the maximum ($s_{max}$) and minimum ($s_{min}$) values among the calculated standard deviations.
• Compute the ratio: $\text{Ratio} = \frac{s_{max}}{s_{min}}$

4. Verify and Summarize

• Ensure that the largest and smallest standard deviation values are accurately identified.
• Round the final result to one decimal place as required.

Final Answer

Given the actual values for standard deviations, use them to compute the ratio and present the final result rounded to one decimal place. Make sure to substitute $s_{max}$ and $s_{min}$ with the actual values obtained.