Averages and variation Consider two data sets A and B. The sets are identical except the...

Averages and variation

Consider two data sets A and B. The sets are identical except the high value of the data set B is three times greater than the high value of data set A.

(a) How does the median of the two data sets compare?
(b) How do the means of the two data sets compare?
(c) How do the standard deviations of the two data sets compare?
(d) How do the box- and –whisker plots of the two data sets compare?

Expert Solution

Solution:

(a) How does the median of the two data sets compare?

Answer:

The median of the two informational idexes will be identical.the presence of one outlier does not affect the value of the median.it is a resistant measure.

(b) How do the means of the two data sets compare?

Answer:

The two informational indexes will have different means.The mean of informational index B will be bigger than the mean of informational index A an outlier pulls the mean toward its the mean is not a resistant measure.

(c) How do the standard deviations of the two data sets compare?

Answer:

The standard deviation of informational index B will be bigger than the standard deviation of informational index A.

The standard deviation measures the spread of information about the mean The further from the mean a value is the more it influences the estimation of the standard deviation.

(d) How do the box- and –whisker plots of the two data sets compare?

Answer:

The box-and-whisker plots will be identical at the low value. at Q1 at the median and at Q3 yet the maximum worth will be any longer on the grounds that the high worth is a lot more noteworthy for informational index B.

orchestra answered 1 year ago

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Averages and variation Consider two data sets A and B. The sets are identical except the...

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