Mathematics
Mathematics
Problem
The following table records the marks obtained by 80 students in a test. a. Marks : Below 20 | 20 – 30 | 30 – 40 | 40 – 50 | 50 – 60 | 60 and above Number of students : 6 | 12 | 20 | 18 | 14 | 10 b. (i) Assume that the first and last classes are of the same width as the neighbouring class intervals. Find the class mark for every class. c. (ii) Using the class marks obtained, determine the mean mark of the class. d. (iii) Verify your answer by repeating the calculation after choosing 45 as an assumed central value and comment on the result obtained in parts (ii) and (iii).Intuitive explanation
# Intuitive Explanation
This is a grouped frequency distribution problem—your job is to organize and interpret data that's already been sorted into intervals. The key insight is that each interval represents a range of marks, and the frequency tells you how many students fell into that range. To answer questions about this data, you'll need to think about where values lie within intervals, how frequencies accumulate, and what the overall pattern tells you about student performance.
Intuitive explanation
# Intuitive Explanation
This is a grouped frequency distribution problem—your job is to organize and interpret data that's already been sorted into intervals. The key insight is that each interval represents a range of marks, and the frequency tells you how many students fell into that range. To answer questions about this data, you'll need to think about where values lie within intervals, how frequencies accumulate, and what the overall pattern tells you about student performance.