MathsheetsPrintable math worksheets for teachers and families
NameDateTime:to:

Is the Sample Representative?

Check yes or no: does the sample fairly represent the whole group? Then say why.

ExampleLiam wants to find out how much time students spend on homework each night at Oakdale Middle School (620 students). Liam posts the survey online and uses whoever chooses to reply. Is this sample representative of the whole school?
yesno
Why: Only students who feel strongly enough to reply are counted, so the sample selects itself. A conclusion drawn from this sample would not be valid for the whole school.
  1. 1.Omar wants to find out how much time students spend on homework each night at Oakdale Middle School (620 students). Omar asks only the first 20 students to arrive at school. Is this sample representative of the whole school?
    yesno
    Why?
  2. 2.Emma wants to find out which lunch option students prefer at Fairview Middle School (750 students). Emma posts the survey online and uses whoever chooses to reply. Is this sample representative of the whole school?
    yesno
    Why?
  3. 3.Sofia wants to find out which lunch option students prefer at Kingsport Middle School (540 students). Sofia asks only the students in one advanced maths class. Is this sample representative of the whole school?
    yesno
    Why?
  4. 4.Noah wants to find out which lunch option students prefer at Fairview Middle School (750 students). Noah asks only the students leaving basketball practice. Is this sample representative of the whole school?
    yesno
    Why?
  5. 5.Liam wants to find out how many students play a school sport at Fairview Middle School (750 students). Liam randomly selects 5 students from each class in the school. Is this sample representative of the whole school?
    yesno
    Why?