Question

The mean of people in the sample of households of 7th-grade students is 4.3. The mean of people in the sample of households for 8th-grade students is 4.5. What might Principal Coleman infer or predict about the entire population based on the data?

Answer 1

Arithmetic mean is used to describe the sum of values in a dataset divided by the number of values. It s the average of a given dataset which gives us an idea about the average value in a data set. That said, a mean of 4.3 means in the household sample (the average number of students in the data set falls within probably 4 and 4.7 probably). On the other hand,.a mean of 4.5 means there are more 8th graders than 7th graders. An increase of 0.2 from the 4.3 shows that the number of 8th graders slightly surpasses 7th graders. The principal can predict that there are more students in 8th grade because they have a higher average.

Answer 2

The mean of something is the "average"

For example, if the mean of people in the households of 7th-grade students is 4.3, this means that if you go to a random house of a 7th-grade student, you can expect around 4 people in there.

Now, for the 7th-grade students, the mean is 4.5, just a 0.2 bigger. (This means that, on average, there is more people in the 8th-grade student's households)

So Principal Coleman can infer that the amount of people in the households of 7th-grade students and 8th-grade students is almost the same, wherein the 8th-grade students there is a small chance of finding more people, but this difference is almost depreciable.