Collaborative Statistics Sample Exercise

Duration (amount of time) is considered as quantitative - continuous data because it represents a measurable quantity that can take on any value within a given range. In this case, the duration can be measured in hours, minutes, or seconds, and it can take on any value within those units. It is not limited to specific discrete values and can be measured with precision.

Feedback/Explanation

Feedback/Explanation

The instructor's sample produces an average number of days absent of 3.5 days, which is a specific value calculated from the data collected in the sample. This value represents a characteristic of the sample itself and is therefore an example of a statistic.

The data "number of times per week" is considered quantitative because it represents a numerical value. It is specifically classified as discrete because it represents a countable number of times, rather than a continuous range of values.

The relative frequency of direct hits that were category 4 hurricanes is 0.0659. This means that out of all the direct hits on the U.S between 1851 and 2004, approximately 6.59% of them were category 4 hurricanes.

The correct answer is B. systematic. Systematic sampling is a sampling method where every nth item in the population is selected to be included in the sample. In this case, the sampling method used is systematic, meaning that every nth item was selected for the sample.

The relative frequency of direct hits that were AT MOST a category 3 storm is 0.9231. This means that out of all the direct hits, 92.31% of them were category 3 storms or lower.

The instructor used stratified sampling because she divided the population (Lake Tahoe Community College math classes) into different groups (strata) based on some characteristic (students) and then randomly selected 5 students from each group. This ensures that each group is represented in the sample, allowing for more accurate results.