arrow
arrow
arrow
The standard deviation of 12 values is 3. If each value is increased by 4, then find the variance of the new set of values.
Question

The standard deviation of 12 values is 3. If each value is increased by 4, then find the variance of the new set of values.

A.

7

B.

16

C.

25

D.

9

Correct option is D

Given:

Standard deviation of 12 values = 3

Each value is increased by 4

We are to find the variance of the new set

Concept Used:

Adding/subtracting a constant to all values does not change the standard deviation or variance.

Variance = (Standard Deviation)²

Solution:

Variance = 32 = 9

Free Tests

Free
Must Attempt

CBT-1 Full Mock Test 1

languageIcon English
  • pdpQsnIcon100 Questions
  • pdpsheetsIcon100 Marks
  • timerIcon90 Mins
languageIcon English
Free
Must Attempt

RRB NTPC Graduate Level PYP (Held on 5 Jun 2025 S1)

languageIcon English
  • pdpQsnIcon100 Questions
  • pdpsheetsIcon100 Marks
  • timerIcon90 Mins
languageIcon English
Free
Must Attempt

RRB NTPC UG Level PYP (Held on 7 Aug 2025 S1)

languageIcon English
  • pdpQsnIcon100 Questions
  • pdpsheetsIcon100 Marks
  • timerIcon90 Mins
languageIcon English
test-prime-package

Access ‘RRB NTPC’ Mock Tests with

  • 60000+ Mocks and Previous Year Papers
  • Unlimited Re-Attempts
  • Personalised Report Card
  • 500% Refund on Final Selection
  • Largest Community
students-icon
368k+ students have already unlocked exclusive benefits with Test Prime!
Our Plans
Monthsup-arrow