hamburger menu
All Coursesall course arrow
adda247
reward-icon
adda247
    arrow
    arrow
    arrow
    The variance of a set of value x₁, x₂, …, xnx_nxn​​ is given by which of the following formulae?
    Question

    The variance of a set of value x₁, x₂, …, xnx_n​ is given by which of the following formulae?

    A.

    (Σx2)/n(Σx/n)2(Σx^2)/n-(Σx/n)^2​​

    B.

    (Σx2)/nΣx/n(Σx^2)/n-Σx/n​​

    C.

    (Σx/n)2(Σx2)/n(Σx/n)^2-(Σx^2)/n​​

    D.

    (Σx/n)2(Σx/n)^2​​

    Correct option is A

    Solution:
    The correct formula for the variance of a set of values x1,x2,,xnx_1, x_2, \dots, x_n​ is:
    Variance=x2n(xn)2\text{Variance} = \frac{\sum x^2}{n} - \left( \frac{\sum x}{n} \right)^2​​

    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

    CBT-1 General Awareness Section Test 1

    languageIcon English
    • pdpQsnIcon40 Questions
    • pdpsheetsIcon30 Marks
    • timerIcon25 Mins
    languageIcon English
    test-prime-package

    Access ‘RRB JE CBT-I’ Mock Tests with

    • 60000+ Mocks and Previous Year Papers
    • Unlimited Re-Attempts
    • Personalised Report Card
    • 500% Refund on Final Selection
    • Largest Community
    students-icon
    354k+ students have already unlocked exclusive benefits with Test Prime!
    Our Plans
    Monthsup-arrow