The bar chart

The bar chart shows the results of the math test. How many% of pupils achieved approximately better results than the average of the class?

Diagram: 1-10 pupils, 2-4 pupils, 3-6 pupils, 4-2 pupils, 5-4 pupils.
(lowest result are better)

Result

p =  53.846 %

Solution:

n=10+4+6+2+4=26  a=1⋅ 10+2⋅ 4+3⋅ 6+4⋅ 2+5⋅ 4n=1⋅ 10+2⋅ 4+3⋅ 6+4⋅ 2+5⋅ 426=3213≐2.4615  p=100⋅ 10+4n=100⋅ 10+426=70013≐53.8462=53.846%n = 10+4+6+2+4 = 26 \ \\ \ \\ a = \dfrac{ 1 \cdot \ 10+2 \cdot \ 4+3 \cdot \ 6+4 \cdot \ 2+5 \cdot \ 4 }{ n } = \dfrac{ 1 \cdot \ 10+2 \cdot \ 4+3 \cdot \ 6+4 \cdot \ 2+5 \cdot \ 4 }{ 26 } = \dfrac{ 32 }{ 13 } \doteq 2.4615 \ \\ \ \\ p = 100 \cdot \ \dfrac{ 10+4 }{ n } = 100 \cdot \ \dfrac{ 10+4 }{ 26 } = \dfrac{ 700 }{ 13 } \doteq 53.8462 = 53.846 \%

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