Create a set of 5 points that are very close together and record the standard deviation. next, add a sixth point that is far away from the original 5 and record the new standard deviation. what is the impact of the new point on the standard deviation? do not just give a numerical value for the change. explain what happened to the standard deviation in words. (4 points)b) create a data set with 8 points in it that has a mean of approximately 10 and a standard deviation of approximately 1. use the second chart to create a second data set with 8 points that has a mean of approximately 10 and a standard deviation of approximately 4. what did you do differently to create the data set with the larger standard deviation? (4 points)