This problem would require a short-answer
response which is worth 2 points. In order
to receive both points you need to be sure
to have complete and specific responses to
the two questions being asked of you in the
problem.
A 2 point response would list at least one
clear question or statement that would determine
which of the three listed students are most
afraid of, and gives an acceptable method
for selecting a random sample. Surveys, or
whichever method you would choose, should
be limited to students at school, but not
the whole school.
A possible 2 point response could look like
this:
Rank these in order according to
what you are most to least afraid of: (1
point)
- Public Speaking
- High Places
- Snakes
I would find a random sample by surveying
every third person in the cafeteria
at lunch. (1 point) |
Another possible 2 point response might
look like this:
| The question I would use are "What
are you most afraid of ... public speaking,
high places, or snakes?" (1 point) I
would also ask for their age and gender.
I would take 50 people from each grade
and have 25 females and males our of
the 50. (1 point) |
This answer from a student includes a correct
question and an acceptable method to select
a random survey. The method describes the
number of students that will be surveyed
and realizes that the survey must include
all grades, both boys and girls. This response
is correct and complete earning 2 points.
Look at this student response and see if
you can see why this one would only receive
1 point. Read carefully.
| I would use the question, What are
you most afraid of? To select a random
sample I would choose an equal number
of boys and girls and I would pick an
equal number of students per grade level.
Then I would walk around asking people
what they thought and not let anyone
else see my results so they could not
be persuaded in any way. |
Can you see why only 1 point would be awarded
for this response?
The student method of selecting a random
sample works fine, which is where the 1 point
is awarded. For the second point remember
they needed to have one clear question or
statement that would determine which of the
three listed students were the most afraid
of. Notice that this response includes an
incomplete question. The categories are not
listed as the options to choose from. Since
the question is left totally open-ended it
can not be accepted for a point.