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AustraliaVIC
VCE 11 General 2023

1.05 Data distribution

Interactive practice questions

Answer the following:

a

Which of the following most closely represents a symmetric distribution?

Stem Leaf
$1$1 $7$7 $9$9 $9$9 $9$9
$2$2 $1$1 $3$3 $6$6 $6$6 $9$9
$3$3 $1$1 $2$2 $4$4 $6$6 $9$9
$4$4 $2$2 $3$3 $5$5 $6$6
$5$5 $1$1 $8$8
 
Key: $1$1$\mid$$2$2$=$=$12$12
A

B

C
b

Which of the following represents a positively skewed distribution?

A

B
Stem Leaf
$1$1 $7$7 $9$9 $9$9 $9$9
$2$2 $1$1 $3$3 $6$6 $6$6 $9$9
$3$3 $1$1 $2$2 $4$4 $6$6 $9$9
$4$4 $2$2 $3$3 $5$5 $6$6
$5$5 $1$1 $8$8
 
Key: $1$1$\mid$$2$2$=$=$12$12
C
c

Which of the following represents a negatively skewed distribution?

A

B
Stem Leaf
$1$1 $7$7 $9$9 $9$9 $9$9
$2$2 $1$1 $3$3 $6$6 $6$6 $9$9
$3$3 $1$1 $2$2 $4$4 $6$6 $9$9
$4$4 $2$2 $3$3 $5$5 $6$6
$5$5 $1$1 $8$8
 
Key: $1$1$\mid$$2$2$=$=$12$12
C
Easy
< 1min

For the Stem and Leaf plot attached:

Easy
1min

The number of hours worked per week by a group of people is represented in the following Stem and Leaf Plot:

Easy
< 1min

For the Dot Plot shown:

Easy
< 1min
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Outcomes

U1.AoS1.2

the concept of a data distribution and its display using a statistical plot

U1.AoS1.3

the five-number summary and possible outliers

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