Daniel B. answered • 05/06/21
A retired computer professional to teach math, physics
A statistical question concerns a set of values.
In contrast, if a question concerns a single value, not a set, then it is not statistical.
Even if a question concerns a set of values, it may not necessarily be statistical;
for example, "How many elements are in the set?" is not statistical.
You can tell a statistical question by considering what happens if you keep increasing the set.
The answer to a statistical question will change less and less as the size
of the set keeps increasing.
You are correct that "How many minutes do sixth grade students spend on a math test?"
is statistical, provided the expected answer is the average, not total sum.
The set consists of sixth grade students. As you keep increasing the size of the set,
the average keeps changing less and less (while the total sum would continue increasing).
You are correct that the next three questions are not statistical because they concern a single value, not a set.
"How long does it take students to walk to school?" is a statistical question,
assuming it is asking about the average.
It concerns a set of values (each value being the time of a particular student),
and if you kept increasing the number of students, their average would change less and less.
The other questions are not statistical because they do not concern a set of values.
In particular, "How many points did our team score in yesterday's game?"
concerns only a single value -- yesterday's score.
