How do you find the mean, median and mode of x, x, x, x, x+y, x+y, x+2y, x+2y, x+2y, x+2y?

Question

atoandro8f04v · Accepted Answer

The data is completely symmetric asthere are 4 data points whose value is xthere are 2 data points whose value is x+yand there are again 4 data points whose value is x+2yFurther mean of x and x+2y, only two extreme values, is middle value, which is x+yHence, data is completely symmetric and there is no skewness.Hence mean, median and mode all are just x+y.Alternatively, as there are already in ascending order, there are two middle values x and x and hence ,edian is             x      +      x        2    =  x.Further, mean is             4      ×      x      +      2      (      x      +      y      )      +      4      ×      (      x      +      2      y      )        10    =            4      x      +      2      x      +      2      y      +      4      x      +      8      y        10    =            10      x      +      10      y        10    =  x  +  yAlthough for mode we have maximum frequency at two data points x and x+2y and hence to find mode, we have two modal class. But symmetric nature of data will lead to mode as x+y.

How do you find the mean, median and mode of

Answered question

Answer & Explanation

New Questions in College Statistics