An art collector had 6666 paintings and then bought a new painting for $100,000\$100{,}000$100,000dollar sign, 100, comma, 000. The value of the original 6 paintings\blueD{\text{original $6$ paintings}}original 6 paintingsstart color #11accd, start text, o, r, i, g, i, n, a, l, space, 6, space, p, a, i, n, t, i, n, g, s, end text, end color #11accd and the new painting\purpleC{\text{new painting}}new paintingstart color #aa87ff, start text, n, e, w, space, p, a, i, n, t, i, n, g, end text, end color #aa87ff are shown in the following dot plot. A dot plot has a horizontal axis labeled, Value, in thousands of dollars, marked from 30 to 100, in increments of 2. Dots are plotted above values as follows: 30, 2; 32, 1; 34, 1; 36, 1; 40, 1; 100, 1. The dot above 100 is shaded purple. How will buying the new painting\purpleC{\text{new painting}}new paintingstart color #aa87ff, start text, n, e, w, space, p, a, i, n, t, i, n, g, end text, end color #aa87ff affect the mean and median? Choose 1 Choose 1 (Choice A) A Both the mean and median will decrease, but the mean will decrease by more than the median. (Choice B) B Both the mean and median will decrease, but the median will decrease by more than the mean. (Choice C) C Both the mean and median will increase, but the mean will increase by more than the median. (Choice D) D Both the mean and median will increase, but the median will increase by more than the mean.