hamburger menu
All Coursesall course arrow
adda247
reward-icon
adda247
    arrow
    arrow
    arrow
    If the mean of a frequency distribution is 28 and the mode is 16, then the median is:
    Question

    If the mean of a frequency distribution is 28 and the mode is 16, then the median is:

    A.

    22

    B.

    24.5

    C.

    23.5

    D.

    24

    Correct option is D

    Given:
    The mean of a frequency distribution is 28, and the mode is 16.

    Formula used:

    Median=Mode+2×Mean3\text{Median} = \frac{\text{Mode} + 2 \times \text{Mean}}{3}

    Solution:

    Median=Mode+2×Mean3\text{Median} = \frac{\text{Mode} + 2 \times \text{Mean}}{3}

    Median = 16+2×283\frac{16 + 2 \times 28}{3}

    Median = 16+563\frac{16 + 56}{3}

    Median = 723\frac{72}{3}

    Median = 24

    So, the median of the frequency distribution is 24.

    Thus, the correct answer is (d).

    Free Tests

    Free
    Must Attempt

    BPSC AEDO Paper 1 (General Language) Mock 01

    languageIcon English
    • pdpQsnIcon100 Questions
    • pdpsheetsIcon100 Marks
    • timerIcon120 Mins
    languageIcon English
    Free
    Must Attempt

    BPSC AEDO Paper 2 (General Studies) Mock 01

    languageIcon English
    • pdpQsnIcon100 Questions
    • pdpsheetsIcon100 Marks
    • timerIcon120 Mins
    languageIcon English
    Free
    Must Attempt

    BPSC AEDO Paper 3 (General Aptitude) Mock 01

    languageIcon English
    • pdpQsnIcon100 Questions
    • pdpsheetsIcon100 Marks
    • timerIcon120 Mins
    languageIcon English
    test-prime-package

    Access ‘Bihar Deled’ 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