Final answer:
To address the statements given, we must evaluate the characteristics of the histogram such as the heights of the bars for mode, the comparison of households with certain numbers of pets, and the calculation of the range and median.
Step-by-step explanation:
To determine the validity of the statements related to the histogram of a survey for the number of pets in the households of students in a statistics class, we need to detail the characteristics of a histogram.
For the mode, it corresponds to the highest bar on the histogram, representing the most frequent value in the data set. If the highest bar represents households with 2 pets, then statement a) 'The mode number of pets is 2' would be correct.
The majority of households would correspond to the bar with the highest frequency. If the bar for 1 pet is the highest, then statement b) 'The majority of households have 1 pet' would be correct.
To assess whether there are more households with 3 or more pets than those with no pets, we would compare the height of the bar for '0 pets' with the combined height of bars for '3 or more pets'. If the combined height for '3 or more pets' is taller, then statement c) 'There are more households with 3 or more pets than households with no pets' would be true.
The range is calculated as the difference between the maximum and minimum values in the dataset. If the values represented on the histogram are from 0 to 3 pets, then the range would be 3 (3 - 0), and statement d) 'The range of the number of pets is 3' would be accurate.
The median represents the middle value when the data is organized in ascending order. Without seeing the histogram, we can't conclude e) 'The median number of pets is 3' without more data.