One hundred students took an exam; the mean of the test was 45%, and the median was 38%; seventy students scored below the mean, but three scored more than 96%. This would represent what type of distribution?
a. Normal
b. Positively skewed
c. Negatively skewed
d. Leptokurtic
ANS: B
Any curve that is not symmetrical is referred to as skewed or asymmetrical. Skewness may be exhibited in the curve in a variety of ways. A curve may be positively skewed, which means that the largest portion of data is below the mean. A curve can also be negatively skewed, which means that the largest portion of data is above the mean. A normal curve is symmetric and has no skew. Few samples will be perfectly symmetrical; however, as the deviation from symmetry increases, the seriousness of the impact on statistical analysis increases. In a positively skewed distribution, the mean is greater than the median, which is greater than the mode. In a negatively skewed distribution, the mean is less than the median, which is less than the mode.
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