Let the data 4, 10, x, y, 27 be in increasing order. If the median of the data is 18 and its mean deviation about mean is 7.6, then the mean of this data, is

Let the data 4, 10, x, y, 27 be in increasing order. If the median of the data is 18 and its mean deviation about mean is 7.6, then the mean of this data, is

  1. A

    7

  2. B

    16

  3. C

    16.5

  4. D

    15.5

    Register to Get Free Mock Test and Study Material

    +91

    Verify OTP Code (required)

    I agree to the terms and conditions and privacy policy.

    Solution:

    The median of the given data is x and it is given that the median is 18. Therefore, x = 18. Let X be the mean. It is given that the mean deviation about mean is 7.6 and mean is less than the median i.e. X < 18.

     X¯=4+10+18+y+275

    and (X¯4)+(X¯10)+(18X¯)+(yX¯)+(27X¯)5=7.6

      5X¯y=59 and, yX¯=7  X¯=16.5

    Chat on WhatsApp Call Infinity Learn

      Register to Get Free Mock Test and Study Material

      +91

      Verify OTP Code (required)

      I agree to the terms and conditions and privacy policy.