Average hourly earnings per year (E) of the workers in a firm are represented in figures A and B as follows:
From the figures, it is observed that the
A
values of E are different
B
ranges (i.e., the difference between the maximum and the minimum) of E are different
C
slopes of the graphs are same
D
rates of increase of E are different
Correct Answer: Option C
Explanation
1. First, I apply the 'Coordinate Reading' skill [1, 35]. In Figure A, the data points are (2013, 20), (2014, 25), (2015, 30), (2016, 35), and (2017, 40). \n2. Next, I read Figure B. The points are exactly the same: (2013, 20) through (2017, 40). \n3. This confirms that the underlying dataset is identical. \n4. I now evaluate the options based on the 'Invariance of Data' concept. \n - Option A claims values are different. This is false; coordinates are identical. \n - Option B claims ranges are different. Range = Max(40) - Min(20) = 20 for both. This is false. (Ref: Range Estimation [23]). \n - Option D claims rates of increase are different. The rate of increase is the change per year (5 units). Since data is same, rate is same. This is false. (Ref: Rate concepts [48]). \n - Option C claims slopes are same. Mathematically, slope is the rate of change. Since the rate is identical, the slope is identical. The visual difference is irrelevant. \n5. By elimination, C is the only valid observation.