
The scientists have collected a number of Black Bream fish. Their lengths have been recorded in the Excel file.
- State the mean length of Black Bream fish to the nearest centimetre. 1
- State the median length of Black Bream fish to the nearest centimetre. 1
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- State the range of lengths of Black Bream fish to the nearest centimetre. 1
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- State the standard deviation of the sample of the lengths of Black Bream fish to three decimal places. 1
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- (6 marks)
- How many samples contained 3 or fewer Brine shrimp? 1
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- What is the modal number of Brine shrimp? 1
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- What is the mean number of Brine shrimp in each sample, to one decimal place? 1
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- Produce a cumulative frequency histogram and polygon (ogive) showing the number of Brine shrimp in each sample. 3
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- (4 marks)
A Pareto chart has been partially completed showing the quantities of different species of frogs in the wetlands. The line graph has been completed but the columns are missing.
- Which species of frog is most common? 1
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- What percentage of frogs were Southern corroboree frogs? 1
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- There were 40 Southern bell frogs. How many frogs were there in total? 1
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- How many Spotted marsh frogs were there? 1
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- (10 marks)
- Complete this two-way table: 2
Males | Females | Total | |
8kg or less | |||
More than 8kg | |||
Total |
- For malepelicans:
- Produce a five-number summary of the data. 2
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- Find any outliers, showing all working. 2
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- Produce a parallel box plot showing the weights of both the male and female pelicans. Make sure you find all outliers and indicate them on the box plot. 2
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- Compare the distribution of weights of male and female pelicans. 2
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- Create a scatter plot showing the age and length of Green tree frog tadpoles with the length as the dependent variable. 2
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- State Pearson’s correlation coefficient for the data, correct to three decimal places. 1
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- Describe the strength and direction of the association. 2
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- State the equation of your least-squares regression line of best fit.
Give your coefficients to 3 decimal places. 2
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- How long would you expect a one-week-old Green tree frog tadpole to be?
Use your least-squares regression equation to calculate your answer in mm, correct to 1 decimal place. 1
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- Predict the age of a Green tree frog tadpole with a length of 30 mm using your least-squares regression equation. Give your answer to the nearest day. 1
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The scientists produced a box plot of the lengths of wild Green tree frog tadpoles found in the wetlands. It can be found in the Excel file.
- What is the median length of wild Green Tree frog tadpoles found in the wetlands? 1
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- A wild Green Tree frog tadpole is in the shortest 25% of wild Green Tree frog tadpoles. What is the shortest it could be and what is the longest it could be? 1
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- A wild Green Tree frog tadpole is longer that 75% of wild Green Tree frog tadpoles.
Use your least-squares regression equation from part (d) to predict its age to the nearest day. 1
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- (4 marks)
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