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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,
- [2]
the largest interquartile range.
The number of potatoes whose recorded mass m satisfies 160≤m≤280 is n.
- [3]
Find the value of n.
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,
- [3]
the possible value(s) of the 316th element in L.
A potato with mass x would be considered an outlier at any of the farms the researcher visited.
- [4]
Determine the range of possible values of x.
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