Provide an appropriate response.Roughly speaking, the standard deviation indicates how far, on average, the observations are from the mean. Do you think that for the data set below the standard deviation will give a good indication of the typical deviation from the mean?2, 3, 4, 4, 5, 5, 6, 6, 100What drawback of the standard deviation is illustrated by this example?

What will be an ideal response?


Answers will vary. Possible answer: No, the standard deviation is 31.9. This is not a good indication of the typical deviation from the mean because the data set contains an extreme observation, namely 100. The standard deviation is very sensitive to extreme observations.

Mathematics

You might also like to view...

Provide an appropriate response.Consider the graphs of y = cos-1 x and y = sin-1 x. Does it make sense that the derivatives of these functions are opposites? Explain.

What will be an ideal response?

Mathematics

Find the area if the distance between two adjacent dots in a row or column is one unit.

A. 10 B. 6 C. 9 D. 8

Mathematics

Provide an appropriate response.Decimals, like improper fractions, offer a way of writing amounts that are more than one.

A. True B. False

Mathematics

The graph of a function f is given. Use the graph to answer the question.How often does the line y = -20 intersect the graph?

A. once B. twice C. three times D. does not intersect

Mathematics