Question
Download Solution PDFThe average of 16 numbers is 35. It was found later that four numbers 18, 17, 24 and 35 were taken by mistake. What is the new average after removing these numbers?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation:
Given that the average of 16 numbers is 35, we can calculate the sum of those 16 numbers as follows:
Sum = Average × Count
⇒ 35 × 16 = 560
Now, we need to subtract the sum of the four mistaken numbers: 18 + 17 + 24 + 35 = 94.
Adjusted Sum = Sum - Sum of Mistaken Numbers
⇒ 560 - 94 = 466
Since we removed four numbers, the count of the remaining numbers is 16 - 4 = 12.
The new average is then calculated by dividing the adjusted sum by the new count:
New Average = Adjusted Sum / New Count
⇒ 466 / 12 = 38.83 (rounded to two decimal places)
Therefore, the new average, after removing the four mistaken numbers, is approximately 38.83.
∴ Option 1 is the correct answer.
Last updated on May 28, 2025
-> The SSC has released the SSC CHSL exam calendar for various exams including CHSL 2025 Recruitment. As per the calendar, SSC CHSL Application process will be active from 23rd June 2025 to 18th July 2025.
-> The Exam Date for the SSC CHSL 2025 will be from 8th September 2025 to 18th September, 2025.
-> The SSC CHSL is conducted to recruit candidates for various posts such as Postal Assistant, Lower Divisional Clerks, Court Clerk, Sorting Assistants, Data Entry Operators, etc. under the Central Government.
-> The SSC CHSL Selection Process consists of a Computer Based Exam (Tier I & Tier II).
-> To enhance your preparation for the exam, practice important questions from SSC CHSL Previous Year Papers. Also, attempt SSC CHSL Mock Test.