Question

Enter each data set into the statistics calculator. Make note of the histogram, mean, and median of each data set. A = {10, 12, 12, 6, 8, 5, 4, 10, 8, 10, 12, 12, 6} B = {8, 8, 8, 7, 9, 7, 9, 10, 6, 8} Which statements are true about the data sets? Check all that apply. Set A is symmetrical. Set B has the same mean and median. Set B is right skewed. Set A is left skewed. The median of set A is larger than the mean of set A.

Answer 1

Set B has the same mean and median. Set A is left skewed. The median of set A is larger than the mean of set A.  that's the answers

Answer 2

In the following sets; set A has a median of 10 and a mean of 8.85 and a skewness of -0.3061. Therefore about set A, the median of set A is larger than the mean of set A, It is also skewed to the left since it has a negative skewness and hence not symmetrical (skewness is 0). 
 set B, the median is 8 and the mean is 8 and the skewness is zero. therefore; set B has the same median and mean, set B is symmetrical since it has a skewness of 0. It is not right skewed (positive skewness)