Question

Incorrect data. a stemplot titled cars washed has values 12, 14, 16, 16, 17, 19, 20, 20, 20, 22, 22, 32. corrected data: a stemplot titled cars washed has values 12, 14, 16, 16, 17, 19, 20, 20, 20, 22, 22, 23, 32. complete each statement. round values to the nearest tenth. s (incorrect data) ≈ s (corrected data) ≈ the sample standard deviation is measure.

Answer 1

The task is to calculate the sample standard deviation for both the incorrect and corrected data sets in a stemplot. This involves finding the mean, calculating the squared differences, averaging them, and then taking the square root. The change in a single data point may slightly alter the standard deviation, but the values should be close due to the similarity of the datasets.

Step-by-step explanation:

The question is regarding the calculation of the sample standard deviation (s) for two sets of data in a stemplot. Sample standard deviation is a measure of the amount of variation or dispersion in a set of values. To calculate the sample standard deviation, one would typically find the mean of the data set, calculate the squared differences from the mean for each data point, average those squared differences, and then take the square root of that average. Given the nature of the question, the student is likely to be asked first to calculate the mean of both the incorrect and corrected data sets, and afterwards find the sample standard deviation for both.

The altered data point (changing the value from 32 to 23) may slightly change the standard deviation because it brings the data point closer to the mean of the set, thereby potentially reducing the overall variance. However, since the data sets are similar, the standard deviations should also be close to each other.