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

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**CFA Practice Question**

A cumulative frequency distribution of days absent during a calendar year by employees of a manufacturing company is shown below.

How many employees were absent more than five days?

A. 22

B. 31

C. 14

**Explanation:**The cumulative number for class 6-8 will give us the number of people absent more than five days: 14.

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**User Contributed Comments**
11

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

Shadefx |
what? how is being absent 12 days NOT more than being absent 5 days? |

CocaColas |
While the number of days increases going down, the number of employees is cummulated going up..So those two are included in the count of 14.. |

dimos |
I assume that 99% of us pick 22. I still do not understand why 14 is correct |

wollogo |
The total number of employees is 60, each of the intervals shows the cumulative amount, e.g. there are 31 employees with more than 2 sick days. Usually the table is the other way round. |

misterlim |
I also got it wrong, however, if you flip the table the other way round you will realise the 14 already includes the 6 and 2 (i.e. cumulative). Note, the total number of employees is 60, not 113. |

cp24 |
i got it wrong too... but I suppose the operative word is "cumulative". given the total no of employees of 60, the 14 includes all > 5 days. showing a frequency distribution would have been clearer, as the term "days absent" is misleading. |

StanleyMo |
tricky question, they count it from the bottom. |

copus |
the key word over here is cumulative! |

endurance |
the explanation is not totally correct. Question asks for more than five days. So count the absolute number of employees from the bottom by taking the differences (it's cumulative): 2+(6-2)+(14-6)=14 employees |

phillyj |
CUM-ULA-TIVE |

davcer |
cumulative, you have to check the order of the table |