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
MalesFemalesTotal8kg 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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