Question

Raul received a score of 76 on a history test for which the class mean was 70 with a standard deviation of 5. He received a score of 71 on a biology test for which the class mean was 70 with standard deviation 8. On which test did he do better relative to the rest of the class?

biology test

history test

the same

Answer 1

Correct option:

history test

Explanation:

History Test:

    = 70

     = 5

    X = 76

So,

Z = (76 - 70)/5

   = 1.20

Biology Test:

    = 70

     = 8

    X = 71

So,

Z = (71 - 70)/8

   = 0.125

Since Z score of History Test= 1.20 is greater than Z score of Biology Test = 0.125, he did better in History Test relative to the rest of the class.