Question 6 (15 points) Is the data normally distributed? If so, estimate the mean. a) Not normally distributed b) Yes, mu =13 c) Yes, mu =4

To determine if the data is normally distributed, we can look at the distribution of points across the grid chart. A normal distribution is symmetric about the mean, with most of the data points clustered around the mean and fewer points as you move away from the mean in either direction.Based on the picture details provided, let's analyze the distribution:- There are 4 points on 2- There are 6 points on 4- There are 7 points on 5- There are 3 points on 7- There are 2 points on 9- There are 10 points on 10- There are 5 points on 11- There are 4 points on 12- There are 3 points on 13- There are 2 points on 14- There is 1 point on 15- There is 1 point on 16- There is 1 point on 17- There is 1 point on 18- There is 1 point on 19From this distribution, we can see that the highest number of points is at 10, which suggests that the mean of the data could be around 10. The distribution does not appear to be symmetric, as the number of points does not decrease at the same rate on both sides of 10. For example, there are 7 points on 5 but only 3 points on 13, which are both three units away from 10. This asymmetry suggests that the data is not normally distributed.However, if we were to assume that the data is normally distributed for the sake of argument, the mean ( ) would be the value around which the data is centered. The highest concentration of data points is around 10, which would be our best estimate for the mean.Therefore, the correct answer is:a) Not normally distributedThe data does not fit the criteria for a normal distribution, as it is not symmetric about a central value. However, if we were to estimate the mean under the assumption of normality, it would be around 10, not 13, 4, or 1.