High School

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.