True or False?The first distribution shown below has a smaller standard deviation than does the second distribution.1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112

Answer:False, they have the same standard deviationStep-by-step explanation:Standard deviation is the distance each data value is from the mean.While the mean of each data set will be different, the distance each data value is from this mean will be the same.  This is because each set goes sequentially from 1 to 12, or from 101 to 112.  The average distance from the mean will have to be the same.To verify, using a graphing calculator, the standard deviation of the first set is 3.45.  The standard deviation of the second set is also 3.45.