You can have two data sets with the same mean but different standard deviations.

The mean and standard deviation of 2 datasets are as follows:A : Mean is 40 and standard deviation 8B: Mean is 30 and standard deviation 6Arrive at the coefficient of variability of the datasets and choose the dataset with highest variabilityGroup of answer choicesDataset ACannot be determinedDataset BBoth have same coefficient of variation

Consider the following data set:                      1, 1, 3, 4, 5, 6, 7, 7, 8, 11, 12, 13, 13, 14, 15, 15How many of the values are within one standard deviation of the mean?

Question 9If two datasets have the same summary statistics, do they have the same underlying data?1 pointSometimes. It is possible for different data to produce the same summary statistics, but not always. Yes. Datasets with the same summary statistics always have the same data.No. It is impossible for different data to produce the same summary statistics

What does the standard deviation measure?*1 pointHow spread out the values in a data set areThe difference between the highest and lowest valuesThe most frequently occurring value in a data setThe average value in a data set

In this problem, we explore the effect on the standard deviation of adding the same constant to each data value in a data set. Consider the following data set.8, 6, 4, 16, 12(a)Use the defining formula, the computation formula, or a calculator to compute s. (Enter your answer to four decimal places.)(b)Add 5 to each data value to get the new data set 13, 11, 9, 21, 17. Compute s. (Enter your answer to four decimal places.)(c)Compare the results of parts (a) and (b). In general, how do you think the standard deviation of a data set changes if the same constant is added to each data value?Adding the same constant c to each data value results in the standard deviation remaining the same.Adding the same constant c to each data value results in the standard deviation increasing by c units.    Adding the same constant c to each data value results in the standard deviation decreasing by c units.There is no distinct pattern when the same constant is added to each data value in a set.