Problem Bank | IB Math AAHL

[Maximum mark: 14]

The Rwandan Department of Agriculture is studying the mass of potatoes grown in the country. A researcher visits 8 different farms (A-H) and weighs a random sample of 40 potatoes at each farm. He uses a scale that records mass to the nearest 10 grams. The data is summarized in the following parallel box and whisker plot.

Each star on the diagram represents a single outlier.

Find the farm with and the value of
1. the highest median,
  [1]
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2. the largest interquartile range.
  [2]

The number of potatoes whose recorded mass m satisfies 160≤m≤280 is n.

Find the value of n.
[3]
The recorded masses of potatoes from all 8 farms are arranged in increasing order in a list L. Find
1. the 6th element in L,
  [1]
2. the possible value(s) of the 316th element in L.
  [3]

A potato with mass x would be considered an outlier at any of the farms the researcher visited.

Determine the range of possible values of x.
[4]

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