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Find the mode of the following distribution:

Class Interval:
10-15, 15-20, 20-25, 25-30, 30-35, 35-40

Frequency:
30, 45, 75, 35, 25, 15

Answer :

Final answer:

The mode of the given distribution with class intervals and frequencies is the interval 20-25, as it has the highest frequency of 75.

Explanation:

The question: Find the mode of the following distribution: class interval 10-15, 15-20, 20-25, 25-30, 30-35, 35-40 with respective frequencies 30, 45, 75, 35, 25, 15.

First, let's understand what the mode is. The mode is the most frequently occurring value in a distribution. In this context, since we are dealing with grouped data rather than individual scores, we look for the class interval with the highest frequency to determine the mode.

Looking at the given frequencies, the highest frequency is 75 for the class interval of 20-25. Therefore, the mode of this distribution is the interval 20-25.

This means that the most common class interval, where the majority of the data points lie, is between 20 and 25. This interval represents the most common range of values in this specific distribution.

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