Final answer:
To correctly compare the electricity consumption data of two towns, specific information on the mean, variability, and range is needed. Example calculations of mean, range, and variability can illustrate how to compare them, but without actual data, statements about Town A and Town B's electricity usage cannot be confirmed.
Step-by-step explanation:
Joseph surveyed 20 houses each from two different towns on their electricity consumption in a month to compare the data. To determine which statement correctly compares the data from both towns (Town A and Town B), we would need specific information about the mean, variability, and range of the electricity consumption for each town. As an example, if we knew the total kilowatt-hours (kWh) used by each house in both towns, we could calculate the mean by adding up the kWh from each house and dividing by the number of houses (20 in this case). Variability could be assessed using standard deviation or variance for each town's data set to see which town shows more inconsistency in the kWh used. Range could be determined by subtracting the lowest value of kWh used in a town from the highest one to identify which town has a larger span in electricity usage.
For instance, if Town A's electricity consumption for the 20 houses ranges from 150 kWh to 750 kWh, and Town B's ranges from 300 kWh to 500 kWh, it would mean that Town A has a larger range, which supports statement C. Likewise, if Town A's data varied greatly from the mean and Town B's data remained close to the mean, then statement B would be correct, indicating that Town A has higher variability in electricity consumption. Without specific data, we cannot confirm statements A and D, and thus, cannot make a definitive comparison between the two towns' electricity consumption patterns.