Consider the following sample data 2, 4 6, 6, 8 10 Now assume the following chan

Question

Consider the following sample data 2, 4 6, 6, 8 10 Now assume the following changes are made to this data. Comment on what would happen to the mean, median, mode, standard deviation and variance after the changes are made. You do not have to calculate all these values, just determine whether the statistic would increase, decrease, or stay the same. (a) The 10 is replaced by a 20. (b) The 2 becomes a 0 and the 10 becomes a 12. (c) One of the 6's is replaced by a 0. Consider the following sample data 25, 28, 30, 35 45 50 Now assume the following changes are made to this data. Comment on what would happen to the mean, median, mode, standard deviation and variance after the changes are made. You do not have to calculate all these values, just determine whether the statistic would increase, decrease, or stay the same (a) The 25 is replaced by a 10. (b) The 25 becomes a 20 and the 50 becomes a 55. (c) The 30 becomes a 35.

Explanation / Answer

7) a) mean increases median will be same ... mode is same (that is 6 has highest frequency)...sd increases...

b) mean is same ...median is same....mode is same....sd will decreases....(we can get a rough idea that after changing range is increases so the sd also..)

c)mean decrese....median decreses...mode also decreases.....sd increases (same argument)

8) a) mean decreses..... mode and median will be same..but sd increses.....

b) mean is same..median and mode is also same ... sd increases...

c) mean,median, mode increases...but sd decreases as there is lower variability than earlier.....

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