Q7 · 2024 · Technology-freeSimple familiar1 mark
QUESTION 7
Twenty families are selected to participate in a lifestyle study related to family size.
The number of children in these families is uniformly distributed as shown.
A random sample of five families is chosen from this group, without replacement. A possible mean number of children in the sample is
(A)
5.0
(B)
2.0
(C)
1.0
(D)
0.0
WORKED SOLUTION
1 markAnswer B
ANSWER
B — 2.0
Worked solution
A mean of is attainable by choosing five families whose numbers of children sum to 10. The other listed values are not attainable under the shown finite population and sampling conditions. Therefore option B.
Selects option B.
Worked explanation by QCE Vault; correct option verified against the QCAA answer key.
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