On suppose avoir l’information suivante :Variable X [100;110[ [110;125[ [125;150[ [150;200[ [200;300[ [300;500[Effectifs 28 25 45 37 20 19 Donner le mode

To determine the mode from the given frequency distribution, we can follow these steps:

1. Break Down the Problem

Identify the group (category) with the highest frequency.

2. Relevant Concepts

The mode is the value that appears most frequently in a data set. In the context of grouped data, the modal class is the interval with the highest frequency.

3. Analysis and Detail

Examine the effectifs (frequencies) corresponding to each interval:

• Interval [100;110[: Frequency = 28
• Interval [110;125[: Frequency = 25
• Interval [125;150[: Frequency = 45
• Interval [150;200[: Frequency = 37
• Interval [200;300[: Frequency = 20
• Interval [300;500[: Frequency = 19

The highest frequency is 45, which corresponds to the interval [125;150[.

4. Verify and Summarize

The interval with the highest frequency implies that the mode of the distribution is the modal class [125;150[.

Final Answer

The mode of the distribution is in the interval [125;150[.