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Statistical Inference · Part 2 of 4
6 exam-style questions with model answers, plus 6 quick multi-choice questions — every question on this part of the standard, grouped by the 2 pages of notes they come from.
Write a full answer before you reveal the model one. That comparison is where the learning happens.
A sample has minimum 6, , median 15, , maximum 28. Find the IQR and the range.
For the sample above (, median 15, ), describe the shape of the middle 50% and justify your answer.
A dot plot and a box plot are drawn for the same 12 values. Explain what the dot plot can show that the box plot hides, and when this matters for an inference.
Sample X has median 52; Sample Y has median 45. Both are drawn on the same scale. Write one 'I notice' statement comparing the centres in context (the variable is exam mark, %).
Sample X: , . Sample Y: , . Compare the spread and comment on what it means.
Sample X (median 52, box 44–58) and Sample Y (median 45, box 40–50) are on the same scale. Discuss the overlap and explain why the higher median alone does not prove Sample X's population scores higher.