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In one elementary school, 200 students are tested on the subject of Math and English. The table below shows the mean and standard deviation for each subject.
Mean SD
Math 67 9.58
English 78 12.45


One student’s Math score was 70 and the same individual’s English score was 84. On which exam did the student do better?

  • statistics -

    Use z-scores.

    Formula:
    z = (x - mean)/sd

    For Math:
    x = 70
    mean = 67
    sd = 9.58

    For English:
    x = 84
    mean = 78
    sd = 12.45

    Find both z-scores, then compare.

  • statistics -

    .3131

  • statistics -

    z=(70-67)/9.58
    z=0.31

    z=(84-78)/12.45
    z=0.48

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