Which class is likely to be harder to teach if both have a mean IQ of 100?

The class with a standard deviation of 30 is likely to be harder to teach because it indicates a greater variability in students' IQ scores within that class. While both classes have the same mean IQ of 100, a standard deviation of 30 means that the students' IQs can range widely, often between 70 and 130 or even beyond, creating a diverse group in terms of cognitive ability.

This increased variability suggests that there will be students who are significantly below or above the mean, potentially leading to a wider range of learning needs and abilities. Teachers may find it more challenging to effectively reach and engage all students in a class where there is such a significant spread of cognitive capabilities. For instance, students with much lower IQs may struggle to grasp concepts that are easily understood by those with higher IQs, making differentiated instruction more difficult and time-consuming.

On the other hand, the class with a standard deviation of 10 indicates that most students' IQs are clustered closely around the mean, resulting in a more homogenous group. This can make it easier for teachers to cater to the learning levels of their students since they are more likely to be on a similar intellectual wavelength.

Hence, the class with the higher standard deviation presents a