- CFA Exams
- CFA Exam: Level I 2021
- Study Session 2. Quantitative Methods (1)
- Reading 7. Statistical Concepts and Market Returns
- Subject 9. Symmetry and Skewness in Return Distributions

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**CFA Practice Question**

For which of the following types of distributions is the mean equal to the median?

II. uniform distribution

III. skewed-left distribution

IV. skewed-right distribution

I. symmetric distribution

II. uniform distribution

III. skewed-left distribution

IV. skewed-right distribution

Correct Answer: I and II

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**User Contributed Comments**
6

User |
Comment |
---|---|

danlan |
Uniform distribution is always symmetric |

surob |
Didn't know the difference. Thanks |

tschorsch |
uniform distributions must by definition be symmetric, but they are just one simple type of symmetric distribution. simple examples uniform: 1 2 3 4 5 symmetric: 1 2 2 3 3 3 4 4 5 |

loisliu88 |
what is an uniform distribution. can I find the definition in the textbook? thanks. |

ThomasDess |
Discrete uniform distribution is a probability distribution whereby a finite number of equally spaced values are equally likely to be observed; every one of n values has equal probability 1/n. Another way of saying "discrete uniform distribution" would be "a known, finite number of equally spaced outcomes equally likely to happen." cf. also Continuous uniform distribution is a family of probability distributions such that for each member of the family, all intervals of the same length on the distribution's support are equally probable. The support is defined by the two parameters, a and b, which are its minimum and maximum values. The distribution is often abbreviated U(a,b). reprinted from wikipedia, didn't find the definition in the textbook |

assiduous |
At the end of the study notes for this LOS it reads, "When a distribution is 'normal', the dispersion to the left of the mean is the same as the dispersion to the right of the mean." Just substitute 'uniform' for 'normal'. |