A recent report from the Australian Taxation Office states that the median annual tax deduction per taxpayer is $750. Suppose that the mode is $1,800 and the average is $600.

a) Would you describe the shape of the annual tax deductions as symmetrical, positively skewed or negatively skewed? Briefly explain your reasoning.

b) Explain whether the mean accurately reflects the typical annual tax deduction per taxpayer.

c) If the lowest tax deduction was incorrectly recorded, and it should have been higher, how, if at all, will the median annual tax deduction be affected? Briefly explain your reasoning.