The stem plot below shows the height, in centimetres, of 20 players in a junior football team.
A player with a height of 179 cm is considered an outlier because 179 cm is greater than
- 162 cm
- 169 cm
- 172.5 cm
- 173 cm
- 175.5 cm
CORE, FUR2 2020 VCAA 1
Body mass index (BMI), in kilograms per square metre, was recorded for a sample of 32 men and displayed in the ordered stem plot below.
- Describe the shape of the distribution. (1 mark)
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- Determine the median BMI for this group of men. (1 mark)
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- People with a BMI of 25 or over are considered to be overweight.
- What percentage of these men would be considered to be overweight? (1 mark)
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CORE, FUR2 2019 VCAA 1
Table 1 shows the day number and the minimum temperature, in degrees Celsius, for 15 consecutive days in May 2017.
- Which of the two variables in this data set is an ordinal variable? (1 mark)
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The incomplete ordered stem plot below has been constructed using the data values for days 1 to 10.
- Complete the stem plot above by adding the data values for days 11 to 15. (1 mark)
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- The ordered stem plot below shows the maximum temperature, in degrees Celsius, for the same 15 days.
Use this stem plot to determine
- i. the value of the first quartile
(1 mark)
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- ii. the percentage of days with a maximum temperature higher than 15.3 °C. (1 mark)
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Show Worked Solution
a.
| b. |  |
c.i.
| c.ii. | ||
CORE, FUR1 2019 VCAA 4-5 MC
The stem plot below shows the distribution of mathematics test scores for a class of 23 students.
Part 1
For this class, the range of test scores is
- 22
- 40
- 45
- 49
- 89
Part 2
For this class, the interquartile range (IQR) of test scores is
- 14.5
- 17.5
- 18
- 24
- 49
CORE, FUR1 2016 VCAA 3 MC
The stem plot below displays 30 temperatures recorded at a weather station.
The modal temperature is
- 2.8°C
- 2.9°C
- 3.7°C
- 8.0°C
- 9.0°C
CORE, FUR2 2010 VCAA 1
Table 1 shows the percentage of women ministers in the parliaments of 22 countries in 2008.
- What proportion of these 22 countries have a higher percentage of women ministers in their parliament than Australia? (1 mark)
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- Determine the median, range and interquartile range of this data. (2 marks)
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The ordered stemplot below displays the distribution of the percentage of women ministers in parliament for 21 of these countries. The value of Canada is missing.
- Complete the stemplot above by adding the value for Canada. (1 mark)
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- Both the median and the mean appropriate measures of centre for this distribution.
- Explain why. (1 mark)
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CORE, FUR2 2011 VCAA 1
The stemplot in Figure 1 shows the distribution of the average age, in years, at which women first marry in 17 countries.
- For these countries, determine
- the lowest average age of women at first marriage (1 mark)
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- the median average age of women at first marriage (1 mark)
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- the lowest average age of women at first marriage (1 mark)
The stemplot in Figure 2 shows the distribution of the average age, in years, at which men first marry in 17 countries.
- For these countries, determine the interquartile range (IQR) for the average age of men at first marriage. (1 mark)
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- If the data values displayed in Figure 2 were used to construct a boxplot with outliers, then the country for which the average age of men at first marriage is 26.0 years would be shown as an outlier.
- Explain why is this so. Show an appropriate calculation to support your explanation. (2 marks)
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CORE, FUR1 2015 VCAA 1 MC
The stem plot below displays the average number of decayed teeth in 12-year-old children from
Based on this stem plot, the distribution of the average number of decayed teeth for these countries is best described as
- negatively skewed with a median of 15 decayed teeth and a range of 45
- positively skewed with a median of 15 decayed teeth and a range of 45
- approximately symmetric with a median of 1.5 decayed teeth and a range of 4.5
- negatively skewed with a median of 1.5 decayed teeth and a range of 4.5
- positively skewed with a median of 1.5 decayed teeth and a range of 4.5
CORE, FUR1 2014 VCAA 1 MC
CORE, FUR1 2012 VCAA 5 MC
The temperature of a room is measured at hourly intervals throughout the day.
The most appropriate graph to show how the temperature changes from one hour to the next is a
A. boxplot.
B. stem plot.
C. histogram.
D. time series plot.
E. two-way frequency table.
CORE, FUR1 2013 VCAA 1-2 MC
The following ordered stem plot shows the percentage of homes connected to broadband internet for 24 countries in 2007.
Part 1
The number of these countries with more than 22% of homes connected to broadband internet in 2007 is
A.
B.
C.
D.
E.
Part 2
Which one of the following statements relating to the data in the ordered stem plot is not true?
A. The minimum is 16%.
B. The median is 30%.
C. The first quartile is 23.5%
D. The third quartile is 32%.
E. The maximum is 38%.