A statistics professor has just given a final examination in his statistical inference course. He is particularly interested in learning how his class of 40 students performed on this exam. The scores are shown below.
77 81 74 77 79 73 80 85 86 7383 84 81 73 75 91 76 77 95 7690 85 92 84 81 64 75 90 78 7882 78 86 86 82 70 76 78 72 93
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Describe the shape of the distribution of exam scores and explain why this supports the fact that the mean and the median are similar in value.
What will be an ideal response?
The distribution of final exam scores is fairly symmetric. When a distribution is fairly symmetric the value of the mean is approximately equal to the value of the median.
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