MathematicsCalculate the mode for the following frequency distribution:

Calculate the mode for the following frequency distribution:


  1. A
    32
  2. B
    34.65
  3. C
    32.23
  4. D
    33.33 

    Fill Out the Form for Expert Academic Guidance!l



    +91



    Live ClassesBooksTest SeriesSelf Learning



    Verify OTP Code (required)

    I agree to the terms and conditions and privacy policy.

    Solution:

    The following frequency distribution is given:
    Here, the maximum frequency is 45 and the class interval corresponding to this frequency is 30-40.
    So, the modal class is 30-40.
    Therefore, l=30, h=10, f0=35, f1=45, and f2=25.
    We know that mode is said to be the value of data which appears most in the given data.
    Mode=l+f1 - f02f1 - f0- f2×h
    In the formula, l will be the lower limit of  modal class. h will be the size of  class intervals. f0 will be frequency of modal class, f1  will be frequency of preceding modal class, f2  will be the frequency of succeeding modal class.
    Mode=30+45 - 3590 - 35- 25×10
    Mode=30+1030×10
    Mode=30+3.33
    Mode=33.33
    Considering the circumstances stated above, the mode of the frequency is 33.33.
    Hence, option 4 is correct.
     
    Chat on WhatsApp Call Infinity Learn

      Talk to our academic expert!



      +91


      Live ClassesBooksTest SeriesSelf Learning




      Verify OTP Code (required)

      I agree to the terms and conditions and privacy policy.