To find the average grades scored by students in science and math, the principal of a school sends a questionnaire to the top five students in each grade of the high school. is the sample used by the principal random? will a generalization from this sample be valid?

a) This is not a random sample

b) The generalization from this sample would not be valid

Step-by-step explanation:

No the sample is not random. If the questionnaire would had been send to any five students in a class irrespective of whether they are among the top five, then the sample could be referred as random sample.

The marks of top five students in any grade would give an average value that will be an outlier to the average of marks of all students with in a grade.

Hence, the generalization from this sample would not be valid

i believe the correct answer is option 4.principalities were small territories that were run by russian rulers.

which statement correctly defines principalities in northern asia in the 1200s? principalities were small territories that were run by russian rulers.

hope i could ! : )

i think the correct option is the second option.