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Ulleksa [173]
2 years ago
10

Use the data to answer the following questions: 68, 63, 67, 66, 65, 87, 69, 61, 86, 82, 28

Mathematics
1 answer:
german2 years ago
4 0

Rewrite given data in increasing order:

28, 61, 63, 65, 66, 67, 68, 69, 82, 86, 87

An outlier is an observation that lies an abnormal distance from other values in a random sample from a population.  As you can see that number 28 lies an abnormal distance from other values.

Answer A: 28

The mean (or average) of a set of data values is the sum of all of the data values divided by the number of data values.

\text{mean with outlier}=\dfrac{28+61+63+65+66+67+68+69+82+86+87}{11}=\dfrac{742}{11}=67.454545...\approx67.45.

Answer B: 67.45

\text{mean without outlier}=\dfrac{61+63+65+66+67+68+69+82+86+87}{11}=\dfrac{742}{10}=71.4.

Answer C: 71.4

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{0}^{2}  +  { - 5.4}^{2}  = \sqrt{}  29.16 = 5.4

So r=5.4

\tan {}^{ - 1}  (0)  = undefined

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