The data set 80, 84, 79, 44, 87, 73, 89, 90, 82, 89, 93, 97, 77, and 71 is graphed below. A graph shows the horizontal axis labeled 40 to 49 thru 90 to 99 on the horizontal axis and the vertical axis labeled 0 to 8. 40 to 49 is 1. 50 to 59 is 0. 60 to 69 is 0. 70 to 79 is 4. 80 to 89 is 6. 90 to 99 is 3. Use the histogram to answer the questions. What type of distribution is this? What is the mean? What is the median? Which measure of center is the best choice for this data set?

Determine if the following statement is true or false. the normal curve is symmetric about its​ mean, mu. choose the best answer below. a. the statement is false. the normal curve is not symmetric about its​ mean, because the mean is the balancing point of the graph of the distribution. the median is the point where​ 50% of the area under the distribution is to the left and​ 50% to the right.​ therefore, the normal curve could only be symmetric about its​ median, not about its mean. b. the statement is true. the normal curve is a symmetric distribution with one​ peak, which means the​ mean, median, and mode are all equal.​ therefore, the normal curve is symmetric about the​ mean, mu. c. the statement is false. the mean is the balancing point for the graph of a​ distribution, and​ therefore, it is impossible for any distribution to be symmetric about the mean. d. the statement is true. the mean is the balancing point for the graph of a​ distribution, and​ therefore, all distributions are symmetric about the mean.