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

Principal Coleman can predict or infer that the average number of students in the 8th grade is more than the average number of students in the 7th grade

Explanation:

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?

Mean means the total number of observation per the number of occurence

if the sample of households of 7th-grade students is 4.3 and then the sample of household grader of 8th grade students is 4.5.

Principal Coleman can predict or infer that the average number of students in the 8th grade is more than the average number of students in the 7th grade. Hence this data can help the principal make critical decision for the classes.

Answer 2

The only insight we can get when comparing means is the sample who has the most number of people per household among the two. Knowing that the average number of people per household among the sample of 8th grade students is higher than that of the 7th grade sample, Principal Coleman can infer that 8th graders have more people in their households than 7th graders. If this trend continues for Grade 9 onwards, he can also say that the number of people per household is increasing with respect to the students' grade level.