- CFA Exams
- CFA Level I Exam
- Study Session 2. Quantitative Methods (1)
- Reading 7. Statistical Concepts and Market Returns
- Subject 4. Measures of Center Tendency

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**CFA Practice Question**

A distribution of 6 scores has a median of 21. If the highest score increases 3 points, the median will become ______.

A. 21

B. 24

C. This cannot be determined without additional information.

**Explanation:**Median is not sensitive to the relative magnitude of the scores; it is determined by their rank ordering, which is not affected by this change.

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**User Contributed Comments**
5

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

vikramarjuna |
What if all the values are equal and they are equal to 21..then the median will be 24..i think C is correct |

lighty0770 |
agree with vikramarjuna |

Marinov |
You are not correct because if all scores were equal there would be no "highest" score. |

Lambo83 |
if there are 6 scores in the original distribution and then another score (the highest score) then the number of observations increases to 7 so the median would change, albeit, by a small amount. C is correct |

Dabuya |
@Lambo83: but the number of scores is still 6, not 7. |