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We appreciate your visit to Find the mode of the following frequency distribution Class Interval Frequency 25 30 25 30 35 34 35 40 50 40 45 42 45 50. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Find the mode of the following frequency distribution:

Class Interval | Frequency
---------------|----------
25-30 | 25
30-35 | 34
35-40 | 50
40-45 | 42
45-50 | 38
50-55 | 14

Answer :

Final Answer:

The mode of the given frequency distribution is the class interval 35-40.

Explanation:

To find the mode, we identify the class interval with the highest frequency. In this frequency distribution, the class interval 35-40 has the highest frequency of 50. Therefore, the mode is the midpoint of this class interval.

To determine the midpoint, we add the lower and upper limits of the class interval and divide by 2. For the class interval 35-40:

Midpoint = (35 + 40) / 2 = 75 / 2 = 37.5

Hence, the mode is 37.5, representing the midpoint of the class interval with the highest frequency (35-40). The mode indicates the most frequently occurring value in the distribution and is a measure of central tendency.

In this case, the mode identifies the range of values where the data is concentrated, providing valuable information about the distribution's shape. The calculation and interpretation of the mode contribute to a comprehensive analysis of the given frequency distribution.

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