Q:

Consider two data sets. Set A: n = 5; x = 10 Set B: n = 50; x = 10 (a) Suppose the number 39 is included as an additional data value in Set A. Compute x for the new data set. Hint: x = nx. To compute x for the new data set, add 39 to x of the original data set and divide by 6. (b) Suppose the number 39 is included as an additional data value in Set B. Compute x for the new data set. (c) Why does the addition of the number 39 to each data set change the mean for Set A more than it does for Set B?

Accepted Solution

A:
Answer:a) mean = 14.83b) mean 10.56c)  set B has a larger values of data set than A. Hence to determine  the mean value of B we divide the total sum of  by a larger number than for AStep-by-step explanation:Given data:set A,n = 5x =10 set Bn = 50x = 10a) when 39 is addded in set A. So mean value is [tex]mean = \frac{((5\times 10)+39)}{6}[/tex]     mean = 14.83b).   when 39 is added in set B. So mean value is  [tex] mean = \frac{((50\times 10)+39)}{51}[/tex]mean = = 10.56c).  set B has a larger values of data set than A. Hence to determine  the mean value of B we divide the total sum of  by a larger number than for A.