The average salary of 28 employees is recorded as ₹ 16,584. If the salary of an employee with value ₹ 14,526 was entered wrongly as ₹ 41,238, then the corrected average is :

Correct option is B

Given:

Number of employees n = 28

Recorded average = ₹16584

Wrong entry = ₹41,238 (should be (₹14526)

Formula Used:
Corrected average =$$\dfrac{\text{Recorded total} - \text{Wrong entry} + \text{Correct entry}}{n}$$​,
where Recorded total $$= n \times \text{Recorded average}$$​​

Solution:
Recorded total =$$28 \times 16{,}584 = ₹,4{,}64{,}352$$​​
Corrected total =$$4{,}64{,}352 - 41{,}238 + 14{,}526 = ₹4{,}37{,}640$$​​
Corrected average = $$\dfrac{4{,}37{,}640}{28} = ₹15{,}630$$​​