Find the mean and standard deviation for the following data setRound to the nearest tenth. 11, 14, 15, 15, 16, 16, 17, 18, 19, 23 Use the mean and standard deviation to select the correct statement point ) 16.6 is a typical value for the data set. 3.7 is the typical distance that a value in the data set is from 16.6. 164 is a typical value for the data set3.0 is the typical distance between any pair of values in the data set 16.6 is a typical value for the data set3.7 is the typical distance between any pair of values in the data set 16.4 is a typical value for the data set 3.0 is the typical distance that a value in the data set is from 16.4
Mean: (11 + 14 + 15 + 15 + 16 + 16 + 17 + 18 + 19 + 23) / 10 = 16.4
Standard deviation: √[(Σ(x - μ)²)/N] = √[(16.4 - 16.4)² + (14.6 - 16.4)² + (13.6 - 16.4)² + (13.6 - 16.4)² + (12.6 - 16.4)² + (12.6 - 16.4)² + (11.6 - 16.4)² + (10.6 - 16.4)² + (9.6 - 16.4)² + (6.6 - 16.4)² / 10] = 3.0
Therefore, the correct statement is: 16.4 is a typical value for the data set. 3.0 is the typical distance that a value in the data set is from 16.4.