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The table shows the marks obtained by 40 candidates in an examination

Marks  5-1415-2930-3435-44 45-49 
Frequency  2 12 7 15 x

  1. Find the value of X 
  2. Calculate the mean mark 
  3. On the grid provided below draw a histogram to represent the data 
  4. drawing a straight line on the graph above determine the median mark 

1 Answer

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  1. 4
  2. Σfx/Σf = 1287.5/40 = 32.1875
  3.  
    CB 4.5 - 14.5 14.5 -29.5 29.5 - 34.5 34.5 - 44.5 44.5 - 49.5
     Fd 0.2 0.8 1.4 1.5 0.8
     Fx 19 264 224 595.5 188
     
    MathF4OPT1p1a19
     
  4. total area A = 10 x 0.2 = 2 
    B= 15 x 0.8 = 12
    C = 1.4 x y = 6 
    D = 1.5 x 10 = 15
    E = 0.8 x 5 = 4
    2 + 12 + 7 + 15 + 4 = 40/2= 20
    Point to draw the lie is 29.5 + 6/7 =30.36
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