- CFA Exams
- CFA Exam: Level I 2021
- Study Session 2. Quantitative Methods (1)
- Reading 7. Statistical Concepts and Market Returns
- Subject 3. Frequency Distributions

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**CFA Practice Question**

For the frequency distribution represented by the bar graph below, the range is ______.

B. 21

C. 6

A. 16

B. 21

C. 6

Correct Answer: C

For a set of data, the range is the highest value minus the lowest value. For the data represented by the bar graph, the highest x-value is 21.5 and the lowest x-value is 15.5. So, the range is 21.5 - 15.5 (or 6). Note that if this bar graph represented a grouped frequency distribution, the range could not be found.

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**User Contributed Comments**
5

User |
Comment |
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chhoda |
16, 17, 18... are the midpts, therefore 21.5-15.5=6 |

bobert |
What is the grouped frequency distribution that is mentioned in the explanation? |

bobert |
After reading the next question and its explanation it appears that a grouped freq distribution is simply one that has a range of numbers in its class. such as 12-19, 20-27, etc... |

studyprep |
here each bar has at least 1 frequency and class width is also 1, so we can find the range. But if class width becomes greater than 1, than we can not find the range. also see the next question. |

Sm7272 |
How do we know what element(s) actually existed there in the class 1 or the first bar. It could contain 10 elements of 16 , or 10 elements of 15.5. Definition of range is maximum value - minimum value. But how can we know what is the maximum data value from the graph ? Please clarify |