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VCE 11 General 2023

1.09 Compare sets of data

Interactive practice questions

Marge grows two different types of bean plants. She records the number of beans that she picks from each plant for $10$10 days. Her records show:

Plant $A$A: $10,4,4,5,7,10,3,3,9,10$10,4,4,5,7,10,3,3,9,10

Plant $B$B: $8,7,5,5,9,7,8,7,5,6$8,7,5,5,9,7,8,7,5,6

a

What is the mean number of beans picked per day for Plant $A$A? Leave your answer to one decimal place if needed.

b

What is the mean number of beans picked per day for Plant $B$B?

c

What is the range for Plant $A$A?

d

What is the range for Plant $B$B?

e

Which plant produces more beans on average?

Plant B

A

Plant A

B
f

Which plant has a more consistent yield of beans?

Plant A

A

Plant B

B
Easy
3min

The stem and leaf plots show the number of books read in a year by a random sample of university and high school students. Which of the following statements are true?

I. Seven university students did not read any books.

II. The university median is equal to the high school median.

III. The mean is greater than the median in both groups.

Easy
2min

The Stem and Leaf plot shows the batting scores of two cricket teams, A and B

Easy
6min

The stem and leaf plots on the right show the amount of cash (in dollars) carried by a random sample of teenage boys and girls.

Which of the following statements are true?

Medium
1min
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Outcomes

U1.AoS1.4

mean 𝑥 and sample standard deviation s

U1.AoS1.5

construct and interpret graphical displays of data, and describe the distributions of the variables involved and interpret in the context of the data

U1.AoS1.6

calculate the values of appropriate summary statistics to represent the centre and spread of the distribution of a numerical variable and interpret in the context of the data

U1.AoS1.7

construct and use parallel boxplots or back-to-back stem plots (as appropriate) to compare the distribution of a numerical variable across two or more groups in terms of centre (median), spread (range and IQR) and outliers, interpreting any observed differences in the context of the data

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