Discrete and continuous

2,3,4,4,5,5,5,6,6,7
Assume the scores are measurements of a Discrete variable and find the median.
Assume the scores are measurements of a continuous variable and find the median by locating the precise midpoint of the distribution.

Correct answer:

m₁ =  5
m₂ =  4.6471

Step-by-step explanation:

$$\begin{gathered} 2,3,4,4,5,5,5,6,6,7 \\ count(5)=3 \\ {m}_1=5 \end{gathered}$$

$$\begin{gathered} n=10 \\ 0.30\cdot 4+0.55\cdot 5=m_2\cdot (0.30+0.55) \\ {m}_2=\frac{0.3\cdot 4+0.55\cdot 5}{0.3+0.55}=4.6471 \end{gathered}$$

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