Compare the (i) three data sets on Q (ii) the right. 0 0 0 o O 11 121314 151617 11 121314 151617 11 121314 151617 (a) Which data set has the greatest sample standard deviation? O A. Data set (ii), because it has more entries that are close to the mean. O B. Data set (ii), because it has two entries that are far away from the mean. O C. Data set (i), because it has more entries that are farther away from the mean. of

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Compare the
three data sets on
the right.
(i)
(ii)
(ii)
0 0 0 0 o
T TTT
11 121314151617
11 121314 151617
11 121314 151617
(a) Which data set has the greatest sample standard deviation?
O A. Data set (ii), because it has more entries that are close to the mean.
O B. Data set (ii), because it has two entries that are far away from the mean.
O C. Data set (i), because it has more entries that are farther away from the mean.
Transcribed Image Text:Compare the three data sets on the right. (i) (ii) (ii) 0 0 0 0 o T TTT 11 121314151617 11 121314 151617 11 121314 151617 (a) Which data set has the greatest sample standard deviation? O A. Data set (ii), because it has more entries that are close to the mean. O B. Data set (ii), because it has two entries that are far away from the mean. O C. Data set (i), because it has more entries that are farther away from the mean.
Expert Solution
Step 1

Standard deviation:

Standard deviation measures the dispersion of the data set with its mean

If the values are further from the mean, the standard deviation is higher

If the values are closer to the mean, the standard deviation is lower

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