Final answer:
The upper and lower bounds of 161.88 to two decimal places are 161.885 and 161.875, respectively, accounting for the half-way point between possible rounded figures.
Step-by-step explanation:
The student has asked about the upper and lower bounds of the number 161.88 when rounded to 2 decimal places.
To calculate the bounds, we consider the half-way point between this number and the next possible numbers in the series when rounded to two decimal places.
The half-way mark between 161.88 and 161.89 is 161.885, making it the upper bound.
Similarly, the lower bound would be the halfway mark between 161.88 and 161.87, which is 161.875.
This means the lower bound is 161.875 and the upper bound is 161.885 when rounding to two decimal places.