High School

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 frequency distribution is the class interval 20-25, which has the highest frequency of 75.

Explanation:

To find the mode of the given frequency distribution, we first need to identify the class interval with the highest frequency. The mode is the value that appears most frequently in a data set. In a grouped frequency distribution, the mode corresponds to the class interval with the highest frequency.

Here are the class intervals and corresponding frequencies provided:

  • 10-15: 30
  • 15-20: 45
  • 20-25: 75
  • 25-30: 35
  • 30-35: 25
  • 35-40: 15

From the list above, we can see that the class interval 20-25 has the highest frequency, which is 75. Therefore, the mode of this distribution lies within the class interval 20-25.

Remember, in a frequency distribution, the specific modal value within the interval cannot be determined; we can only identify the modal interval unless additional information is provided.

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