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9.08 Compare data sets

Interactive practice questions

The weight (in kilograms) of two groups, $A$A and $B$B, were recorded in a stem plot as shown.

Group $A$A       Group $B$B          
Stem Leaf     Stem Leaf  
$6$6 $0$0 $3$3 $5$5 $6$6 $7$7   $5$5 $0$0 $1$1 $1$1 $2$2 $3$3
$7$7 $0$0 $1$1 $2$2 $2$2 $2$2   $6$6 $0$0 $0$0 $2$2 $3$3  
              $7$7 $0$0        
                 
Key: $8\mid3=83$83=83
               
a

What is the mean weight of group $A$A?

b

What is the mean weight of group $B$B?

c

Which group contains individuals that are generally heavier?

Group $A$A

A

Group $B$B

B
d

Calculate the population standard deviation for group $A$A.

Round your answer to one decimal place.

e

Calculate the population standard deviation for group $B$B.

Round your answer to one decimal place.

f

Which group had more consistent weights?

Group $A$A

A

Group $B$B

B
Medium
5min

The Cancer Council surveyed $60$60 random people, asking them approximately how many hours they spent in the sun in the last month. The responders were split up into two groups, tourists and local residents.

Easy
6min

10 participants had their pulse measured before and after exercise with results shown in the stem and leaf plot below.

Easy
5min

The stem and leaf plots show the length (in minutes) of a random sample of phone calls made by Elizabeth and Kathleen.

Medium
1min
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Outcomes

2.1.14

compare back to back stem plots for different data sets

2.1.17

compare the characteristics of the shape of histograms using symmetry, skewness and bimodality

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