Choose four numbers that have the smallest possible standard deviation. Choose f

Question

Choose four numbers that have the smallest possible standard deviation. Choose four numbers that have the largest possible standard deviation. Is more than one choice possible in either (a) or (b).? Explain. You create the data. Create a set of seven numbers (repeats allowed) that have the five-number summary Minimum = 4 Q_1 = 7 M = 12 Q_3 = 14 Maximum = 19 There is more than one set of seven numbers with this five-number summary. What must be true about the seven numbers to have this five-number summary? You create the data. Give an example of a small set of data for which the mean is smaller than the first quartile.

Explanation / Answer

2.41

The dataset can be

4, 7, 8, 12, 13, 14, 19

For all the possible data sets, if arranged in ascending order only two values can change: the third one from the top and bottom. Remaining are fixed.

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