The ages of two groups of karate students are shown in the following dot plots: A dot plot shows Age in years on the horizontal axis. For Group A, there are 2 dots on 4, 5 dots on 5, 3 dots on 7, 4 dots on 8, 2 dots on 9, 2 dots on 11, and 1 dot on 14. For Group B, there is 1 dot on 7, 2 dots on 8, 1 dot on 9, 1 dot on 11, 1 dot on 16, 2 dots on 19, 2 dots on 20, 2 dots on 21, and 1 dot on 26. The mean absolute deviation (MAD) for group A is 2.07 and the MAD for group B is 5.51. Which of the following observations can be made using these data? ?

Group A has greater variability in the data.
Group A has less variability in the data.
Group B has a lower range.
Group B has a lower mean.

Which of these triangle pairs can be mapped to each other using two reflections?

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.

Which of these angles are complementary? a. 45o and 45o b. 63o and 117o c. 45o and 135o d. 90o and 45o