Mathematical Methods — Question 5

QCAA 2022, Paper 1 · 1 mark

Q5 · 2022 · Technology-freeSimple familiar1 mark

QUESTION 5

Which normal distribution curve best represents a normal distribution with a mean of

1

and a standard deviation of

0.5

(A)

Graph A

(B)

Graph B

(C)

Graph C

(D)

Graph D

ABCD

WORKED SOLUTION

1 mark

ANSWER

D — Graph D

Worked solution

The curve must be centred at 1 and relatively narrow because the standard deviation is 0.5. Graph D has those features.

Selects option D.

[1 mark]

Worked explanation by QCE Vault; correct option verified against the QCAA answer key.