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Lower and Upper Quartiles with Constraints

Directions: Create a statistical data set of at least 10 numbers such that:

1. All of the numbers in the data set are whole numbers.
2. The lower and upper quartiles are not whole numbers.
3. The lower and upper quartiles are not part of the data set.

Hint

Hint

What strategy do you use to find the lower/upper quartiles of a data set? Does this strategy work in all cases?

Answer

Answer

There are many correct answers. One statistical data set that would work is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. Here, the lower quartile is 3.5 and the upper quartile is 9.5. You could make this question more challenging by adding more constraints.

Source: Daniel Luevanos

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