Question

match the two situations that would result in distributions with similar measures of variability and the two situations that would result in distributions with different measures of variability. situation that would result in distributions with similar measures of variability. situation that would result in distributions with different measures of variability. :: rolling number cubes with your eyes closed and rolling number cubes with your eyes open. :: the daily high temperatures in july and the daily high temperatures for the year.

Explanation:

Step1: Analyze rolling number - cubes situation

Rolling number - cubes with eyes closed or open does not affect the inherent randomness of the cube - rolling process. The possible outcomes and their probabilities remain the same, so the measures of variability (such as range, variance, standard deviation) will be similar.

Step2: Analyze temperature situation

The daily high temperatures in July are from a more restricted time - period and likely to have less variability compared to the daily high temperatures for the whole year, which includes different seasons. So, the measures of variability will be different.

Answer:

Situation that would result in distributions with similar measures of variability: Rolling number cubes with your eyes closed and rolling number cubes with your eyes open.
Situation that would result in distributions with different measures of variability: The daily high temperatures in July and the daily high temperatures for the year.