Compare the (i) three data sets on the right Q lin) 34587891011 Data value 34578

Question

Compare the (i) three data sets on the right Q lin) 34587891011 Data value 3457891011 Data value 34567891011 Data value d25 d36 (a) Which data set has the greatest sample standard deviation? OA. Data set (i), because it contains the greater number of entries. O B. Data set (ii, because its data have more variability. O C. Data set C), because it has more entries that are farther away from the mean. Which data set has the least sample standard deviation? OA. Data set (i), because it has more entries that are close to the mean. O B. Data set (ii) because it has more entries near the mean than far away from it. O C. Data set ), because it has no entries near the mean. (b) How are the data sets the same? How do they differ? O A. The three data sets have the same range but have different means. O B. The three data sets have the same standard deviations but have different ranges. O C. The three data sets have the same range and mean but have different standard deviations. OD. The three data sets have the same mean but have different standard deviations.

Explanation / Answer

a)

Data set (i), because it has more entries that are farther away from mean

b)

Data set (ii), because it has more entries that are close to the mean

c)

The three data sets have the same mean but have different standard deviation

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