Consider the following two datasets: A = [ 5 , 23 , 8 , 12 , 4 , 21 ] and B = [ 20 , 10 , 16 , 1 , 18 , 8 , 4 ]. Please, select all correct optionsa) The sample medians of the datasets are equal.b) The sample means of the datasets are not equalc) The sample means of the datasets are equal.d) The ranges of the datasets are equal.e) The sample medians of the datasets are not equal.

Question

Consider the following two datasets:   A  =  [  5  ,  23  ,  8  ,  12  ,  4  ,  21  ]   and   B  =  [  20  ,  10  ,  16  ,  1  ,  18  ,  8  ,  4  ]. Please, select all correct optionsa) The sample medians of the datasets are equal.b) The sample means of the datasets are not equalc) The sample means of the datasets are equal.d) The ranges of the datasets are equal.e) The sample medians of the datasets are not equal.

Dwayne James · Accepted Answer

1) For Data set A:Ascending order is   4  ,  5  ,  8  ,  12  ,  21  ,  23Sample mean is   5  +  23  +  8  +  12  +  4  +  216  =  12.1667Sample median is   n  +  12  t  h     t  e  r  m  =  72  t  h     t  e  r  m  =  3.5  t  h     t  e  r  m  =  10Range is   H  i  g  h  e  s  t     v  a  l  u  e  −  L  o  w  e  s  t     v  a  l  u  e  =  23  −  4  =  192) For Data set B:Ascending order is   1  ,  4  ,  8  ,  10  ,  16  ,  18  ,  20Sample mean is   1  +  4  +  8  +  10  +  16  +  18  +  207  =  11Sample median is   n  +  12  t  h     t  e  r  m  =  82  t  h     t  e  r  m  =  4  t  h     t  e  r  m  =  10Range is   H  i  g  h  e  s  t     v  a  l  u  e  −  L  o  w  e  s  t     v  a  l  u  e  =  20  −  1  =  19Range and Median for set A and set B are equal Thus, the answer isThe sample medians of the datasets are equal.The sample means of the datasets are not equal. The ranges of the datasets are equal.

Reed Eaton · Accepted Answer

Thanks

Consider the following two datasets: A = [ 5 , 23 , 8 , 12 , 4 , 21 ]

Answered question

Answer & Explanation

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