# Black Bream fish Assignment Help

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
• State the range of lengths of Black Bream fish to the nearest centimetre.   1
• State the standard deviation of the sample of the lengths of Black Bream fish to three decimal places.                                                                         1
• (6 marks)
• How many samples contained 3 or fewer Brine shrimp?                            1
• What is the modal number of Brine shrimp?                                               1
• What is the mean number of Brine shrimp in each sample, to one decimal place?    1
• Produce a cumulative frequency histogram and polygon (ogive) showing the number of Brine shrimp in each sample.                                                3
• (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
• What percentage of frogs were Southern corroboree frogs?                       1
• There were 40 Southern bell frogs. How many frogs were there in total?  1
• How many Spotted marsh frogs were there?                                               1
• (10 marks)
• Complete this two-way table:                                                                       2
• For malepelicans:
• Produce a five-number summary of the data.                                     2
• Find any outliers, showing all working.                                             2
• 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
• Compare the distribution of weights of male and female pelicans.            2
• Create a scatter plot showing the age and length of Green tree frog tadpoles with the length as the dependent variable.                                     2
• State Pearson’s correlation coefficient for the data, correct to three decimal places.                                                                                             1
• Describe the strength and direction of the association.                               2
• State the equation of your least-squares regression line of best fit.
Give your coefficients to 3 decimal places.                                                 2
• 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
• 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

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
• 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
• 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
• (4 marks)

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