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Question
1 twenty students participated in a psychology experiment that measured their heart rates in two different situations. dot plots for situation a and situation b a. what are the appropriate measures of center and variability to use with the data? explain your reasoning.
First, check the distribution shape of the dot plots. For both Situation A and B, the dot plots appear roughly symmetric (no extreme skewness or outliers that would heavily bias the mean). When data is symmetric, the mean is an appropriate measure of center (as it uses all data points) and the standard deviation (or range, but standard deviation is more precise) is appropriate for variability. If there were skewness or outliers, median and interquartile range would be better, but here symmetry supports mean and standard deviation.
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Mean (center) and standard deviation (variability). Reasoning: The dot plots for both situations are roughly symmetric, so mean (uses all data) and standard deviation (measures spread around mean) are appropriate.