Which element of variation would not be affected by adding the data value 15 to the data set {3, 5, 6, 8, 9, 10, 13, 14}? A. the lower quartile of the data set B. the median of the data set C. the upper quartile of the data set D. the range of the data set

[3,5,6],8,9, (10,13,14) [3,5,6,8],9, (10,13,14,15)

Q1 (lower quartile) = 5 Q1 = (5 + 6) / 2 = 11/2 = 5.5

median = (8 + 9) / 2 = 17/2 = 8.5 median = 9

Q3 (upper quartile) = 13 Q3 = (13 + 14) / 2 = 27/2 = 13.5

range = 14 - 3 = 11 range = 15 - 3 = 12

I may be totally off base here ... but I am not arriving at an answer choice

B. The median of the data set

**Update; A. The lower quartile**

See other answer for explanation.