Question

Marcy ran the 100-meter dash 9 times in competitions during the spring. Her times, in seconds, are listed above. What is the range of Marcy's times, in seconds?

1) 0.8
2) 0.9
3) 1.0
4) 1.1
5) 1.2

Answer 1

Without Marcy's actual times, we cannot determine the range. The uncertainty of the stopwatch is ±0.05 seconds, which allows us to conclude that a difference of 0.08 seconds between two runs indicates an improvement.

Step-by-step explanation:

The subject question pertains to the concept of range in statistics, which is the difference between the highest and the lowest values in a set. However, the actual times Marcy ran are not provided in the question; therefore, we cannot calculate the exact range. To answer questions about range, we look for the maximum and minimum values in the data set. In this case, without Marcy's times, we cannot determine the range, and those multiple choice options cannot be addressed accurately without the provided data. Regarding the stopwatches and timing, an uncertainty of ±0.05 seconds means that any time measured by the stopwatch could be 0.05 seconds faster or slower than displayed. Consequently, when evaluating times such as 12.04 seconds and 11.96 seconds for Marcy's sprints, we must consider this uncertainty. Given that the difference between the two times is 0.08 seconds, which is greater than the uncertainty, we can conclude that this week's time is faster, within the uncertainty limits of the timing device.