Pupils 22

Pupils of the graduating class at the Business Academy in Banská Bystrica had from the written test in Slovak language the following marks: 2, 2, 3, 3, 1, 4, 4, 2, 3, 5, 3, 3, 3, 4, 2, 4, 1, 1, 2, 3, 4, 5, 1, 3, 3, 2, 2, 3, 2, 1.
Create a frequency distribution table, determine what is the statistical set, statistical unit, what statistical variable we observe, what is the range of the set, determine the maximum and minimum value of the variable, the range of variation, and the central values (mode, median, mean).

Final Answer:

a =  1
b =  5
r =  4
m₁ =  3
m₂ =  3
m₃ =  2.7

Step-by-step explanation:

$$\begin{gathered} 1{\dots }_5 \\ 2\dots 8 \\ 3\dots 10 \\ 4\dots 5 \\ 5\dots 2 \\ a=minimum \\ a=1 \end{gathered}$$

$$\begin{gathered} a=maximum \\ b=5 \end{gathered}$$

$$\begin{gathered} r=range \\ r=b-a=5-1=4 \end{gathered}$$

$$\begin{gathered} m_1=modus \\ {m}_1=3 \end{gathered}$$

$$\begin{gathered} median \\ {m}_2=3 \end{gathered}$$

$$\begin{gathered} s=1\cdot 5+2\cdot 8+3\cdot 10+4\cdot 5+5\cdot 2=81 \\ n=30 \\ {m}_3=\frac{s}{n}=\frac{81}{30}=2.7 \end{gathered}$$

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