Arrange the following steps for computing the standard deviation in the correct order.

A researcher determines that the variance for a set of scores on a psychology exam is 16.00. Based on the standard procedure for computing these statistics, which of the following correctly describes what this value represents and how to determine the standard deviation?

A psychologist studying reaction times for 8 participants finds that the sum of the squared differences from the mean is 28. Match each component of the calculation to its specific logical role in the statistical analysis of the data's spread.

A psychologist evaluating a set of memory scores claims that the standard deviation of the data will always be a smaller numerical value than the variance. Based on the standard procedure for computing these statistics, this psychologist's evaluation is correct.

A researcher is designing a standardized memory test for a small group of $10$ participants. To create a baseline distribution with a standard deviation of precisely $3.00$, which of the following statistical specifications must the researcher's dataset produce?

If the variance for a set of $8$ scores is calculated as $3.50$, the standard deviation is determined by squaring this variance, resulting in a value of $12.25$.

A psychologist studying the effect of social media usage on attention span collects scores from 10 participants. The sum of the squared differences from the mean is 160. Dividing this sum by $n$ yields the variance, and taking the square root of the variance yields the standard deviation. The standard deviation for this sample is _____.

A researcher studying test anxiety administers an exam to 6 participants and calculates the sum of the squared differences from the mean to be 54. Match each calculation or statistical concept to its correct result or description.

A peer reviewer examines a classmate's statistics report. The classmate correctly computes a variance of $3.50$ for a dataset of 8 scores but then reports a standard deviation of $12.25$. Analyzing the mathematical relationship between variance and standard deviation, the reviewer concludes that the classmate _____ the variance rather than taking its square root, since the correct standard deviation should be $\sqrt{3.50} \approx 1.87$.

A student submits a statistics report stating: 'For 8 scores, the sum of squared differences from the mean is 28, the variance is 3.50, and the standard deviation is 12.25.' A peer reviewer must evaluate each claimed value and identify any error. Order the steps the reviewer should follow.

Describe the mathematical steps required to calculate the variance and standard deviation of a dataset based on the process described in the text.

Explain how the student should calculate the standard deviation from their calculated variance of $3.50$, and clarify the mathematical relationship between the variance and the standard deviation.

A researcher collects $8$ scores and finds that the sum of the squared differences from the mean is $28$. Apply the calculations described in the text to compute both the variance and the standard deviation for this dataset, showing your work.