Question

Gustavo created a four-part spinner to represent the four prizes that he had an equal chance of winning: a video game system, a bicycle, a watch, and a gift card. He spun the spinner several times to demonstrate the likelihood of winning a certain prize. What is true about Gustavo’s data collection? Gustavo used an experiment where the data is qualitative. Gustavo used an experiment where the data is quantitative. Gustavo used a simulation where the data is qualitative. Gustavo used a simulation where the data is quantitative.

Answer 1

Gustavo used an experiment where the data is quantitative

Explanation:

The experiment was every time he spun the spinner (in a simulation every result would be estimated instead of obtained). The data is quantitative because it was measured, that is, Gustavo got results like: video game system: 30%, bicycle:25%, watch: 20%, and gift card: 25%; they are quantifiable with numbers. On the other hand, qualitative data is not numerical.

Answer 2

The correct answer is ‘Gustavo used a simulation where the data is quantitative’. The data collection was not an experiment because Gustavo was not testing a hypothesis; instead, he was simulating real life conditions to demonstrate the probabilities. The data is quantitative because it involves probabilities, and quantitative data is numerical.