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Australia
Year 9

10.05 Comparing data sets

Interactive practice questions

The weight (in kilograms) of a group of men and women were recorded and presented in a stem-and-leaf plot as shown.

Women Stem Men
    $7$7 $6$6 $3$3 $5$5          
$8$8 $6$6 $3$3 $1$1 $1$1 $6$6 $2$2 $3$3 $3$3 $8$8 $9$9
      $3$3 $1$1 $7$7 $1$1 $2$2 $4$4 $8$8  
          $8$8 $3$3        
 
Key: $8$8$\mid$$3$3$=$=$83$83
a

What is the mean weight of the group of men? Express your answer in decimal form.

b

What is the mean weight of the group of women? Express your answer in decimal form.

c

Which group is heavier?

Women

A

Men

B
Easy
2min

The number of goals scored by Team 1 and Team 2 in a football tournament are recorded.

Easy
2min

The table shows the scores of Student A and Student B in 5 separate tests.

Easy
3min

The monthly rainfall for two cities across a year is displayed below.

Easy
1min
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Outcomes

ACMSP227

Investigate reports of surveys in digital media and elsewhere for information on how data were obtained to estimate population means and medians

ACMSP282

Construct back-to-back stem-and-leaf plots and histograms and describe data, using terms including ‘skewed’, ‘symmetric’ and ‘bi modal’

ACMSP283

Compare data displays using mean, median and range to describe and interpret numerical data sets in terms of location (centre) and spread

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