High School

The distribution below gives the marks of 100 students in a class. If the median mark is 24, find the frequencies \( f \) in the following intervals:

- 5-10
- 10-15
- 15-20
- 20-25
- 25-30
- 30-35
- 35-40
- 40-45

The given frequencies are 10, 25, 18, 5, 20, 35, 40, and 10.

What is the frequency of students in the interval 40-45?

Answer :

Final answer:

The frequency of students in the interval 40-45 is 10, which is directly given in the list of provided frequencies for each interval.

Explanation:

The frequency of students in the interval 40-45 can be determined from the given frequencies corresponding to specific intervals.

Based on the information provided, the intervals and their corresponding frequencies are as follows:

  • 5-10: 10 students
  • 10-15: 25 students
  • 15-20: 18 students
  • 20-25: 5 students
  • 25-30: 20 students
  • 30-35: 35 students
  • 35-40: 40 students
  • 40-45: f students

Since the median marks are 24, the distribution's midpoint (50th and 51st data points) fall in the interval 20-25, which means that all intervals after 20-25 would have students scoring more than 24.

Thus, the frequency for the interval 40-45 would be the last frequency given, which is 10.

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