Question

Calculate the mode from the following data:

Monthly salary (in Rs)	No of employees
0 – 5000	90
5000 – 10000	150
10000 – 15000	100
15000 – 20000	80
20000 – 25000	70
25000 – 30000	10

 

Answer 1

As the class 5000-10000 has the maximum frequency, it is the modal class.
Now, `x_k = 5000, h = 5000, f_k = 150, f_k-1 = 90, f_k+1 = 100`
∴ Mode,` M_0 = x_k + {ℎ × ((f_k− f_k−1))/((2f_k− f_k−1−f_k+1))}`
`= 5000 + {5000 × ((150−90))/((2×150−90−100))}`
`= 5000 + {5000 × 60/110}`
= (5000 + 2727.27)
= 7727.27
Hence, mode = Rs 7727.27