Question

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

Marks	5-14	15-29	30-34	35-44	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 

Answer 1

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

   
    
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