A data set shows that the mean, median, and mode are the same. This means which of the following? (Select all that apply.)
a. The distribution is bimodal.
b. The data are normally distributed.
c. The variables are dichotomous.
d. All data points are identical.
e. The kurtosis is symmetrical.
f. This may describe the normal curve.
ANS: B, D, F
The theoretical normal curve is an expression of statistical theory. It is a theoretical frequency distribution of all possible scores. This theoretical normal curve is symmetrical and unimodal and has continuous values. The mean, median, and mode are equal. The distribution is completely defined by the mean and standard deviation. The data are normally distributed. If all data points are identical, their mean, median, and mode will be the same.
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