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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 is the class interval 20−25, identified by its highest frequency of 75.

Explanation:

The question asks to find the mode of the given distribution which includes the class intervals 10−15, 15−20, 20−25, 25−30, 30−35, and 35−40 with corresponding frequencies 30, 45, 75, 35, 25, 15.

By definition, the mode of a distribution is the value that occurs most frequently.

In this distribution, the frequencies of each class interval represent the number of occurrences.

Therefore, we look for the interval with the highest frequency.

It's clear that the interval 20−25 has the highest frequency of 75, making it the mode of this distribution.

In data involving class intervals, the mode is identified as the interval with the highest frequency rather than a specific value since the exact values within the interval are not specified.

So, the mode for this distribution is the class interval 20−25.

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