On which of the following exams did Rebecca do better? How about Maurice? Explain
Exam |
Mean |
SD |
Rebecca’s Score |
Maurice’s Score |
History |
120 |
6.8 |
130 |
132 |
Law |
50 |
2.4 |
56 |
52 |
History exam z score for Rebecca with x score = 130 and mean = 120 and sd = 6.8
z = (x-mean)/sd
z = (130-120)/6.8
z = 1.47
Law exam z score for Rebecca with x score = 56 and mean = 50 and sd = 2.4
z = (x-mean)/sd
z = (56-50)/2.4
z = 2.5
And
History exam z score for Maurice with x score = 132 and mean = 120 and sd = 6.8
z = (x-mean)/sd
z = (132-120)/6.8
z = 1.76
Law exam z score for Maurice with x score = 52 and mean = 50 and sd = 2.4
z = (x-mean)/sd
z = (52-50)/2.4
z = 0.83
Hence, Rebecca did better on Law exam(higher z score) and Maurice did better on History exam(higher z score)
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