Mathematics
Mathematics
Problem
The monthly salaries (in Rs) of 50 clerks in an office are given below: Salary (Rs) | Number of clerks 1000–1200 | 4 1200–1400 | 6 1400–1600 | 12 1600–1800 | 14 1800–2000 | 9 2000–2200 | 5 Calculate the mean monthly salary of the clerks.Intuitive explanation
This is a grouped data problem where you need to find the average of salaries when individual values are organized into intervals. The key insight is to use the midpoint of each class interval as a representative value, then calculate the weighted average by multiplying each midpoint by its frequency and dividing by the total count. Think of it as finding the "balance point" of the salary distribution.
Intuitive explanation
This is a grouped data problem where you need to find the average of salaries when individual values are organized into intervals. The key insight is to use the midpoint of each class interval as a representative value, then calculate the weighted average by multiplying each midpoint by its frequency and dividing by the total count. Think of it as finding the "balance point" of the salary distribution.