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Find mean - CI= 0-5,5-10,10-15.30-35. frequency = 2,5,7,13,21,16,8.?
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Find mean - CI= 0-5,5-10,10-15.30-35. frequency = 2,5,7,13,21,16,8.?
Calculating the Mean of Grouped Data


Grouped data refers to a data set that has been categorized into different groups or intervals. In order to calculate the mean of grouped data, we need to use the midpoint of each interval as a representative value for that interval.


Step-by-Step Calculation



  1. Find the midpoint of each interval:


    • Midpoint of 0-5: (0+5)/2 = 2.5

    • Midpoint of 5-10: (5+10)/2 = 7.5

    • Midpoint of 10-15: (10+15)/2 = 12.5

    • Midpoint of 15-20: (15+20)/2 = 17.5

    • Midpoint of 20-25: (20+25)/2 = 22.5

    • Midpoint of 25-30: (25+30)/2 = 27.5

    • Midpoint of 30-35: (30+35)/2 = 32.5


  2. Multiply each midpoint by its corresponding frequency:


    • 2.5 x 2 = 5

    • 7.5 x 5 = 37.5

    • 12.5 x 7 = 87.5

    • 17.5 x 13 = 227.5

    • 22.5 x 21 = 472.5

    • 27.5 x 16 = 440

    • 32.5 x 8 = 260


  3. Add up all the products from step 2:


    • 5 + 37.5 + 87.5 + 227.5 + 472.5 + 440 + 260 = 1550


  4. Add up all the frequencies:


    • 2 + 5 + 7 + 13 + 21 + 16 + 8 = 72


  5. Divide the sum from step 3 by the sum from step 4:


    • 1550 / 72 = 21.53




Interpretation


The mean of the grouped data is 21.53. This means that on average, the values in the data set fall around the interval of 20-25.
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Find mean - CI= 0-5,5-10,10-15.30-35. frequency = 2,5,7,13,21,16,8.?
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Find mean - CI= 0-5,5-10,10-15.30-35. frequency = 2,5,7,13,21,16,8.?
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