Question

peter foi ao encontro de natação de sua escola para torcer pela equipe. o placar mostrava o tempo de cada nadador na última corrida. tempos de natação (seg.): 60 55 53 50 55 57 59 57 qual gráfico de caixa representa os dados?

Explanation:

Step1: Arrange data in ascending order

$50,53,55,55,57,57,59,60$

Step2: Find median (Q2)

Since $n = 8$ (even), $Q2=\frac{55 + 57}{2}=56$

Step3: Find lower - half data

$50,53,55,55$, median of lower - half (Q1) is $\frac{53+55}{2}=54$

Step4: Find upper - half data

$57,57,59,60$, median of upper - half (Q3) is $\frac{57 + 59}{2}=58$

Step5: Identify minimum and maximum

Minimum is $50$, maximum is $60$

Step6: Match with box - plot

The box - plot should have a box from $54$ to $58$ with a line at $56$, whiskers from $50$ to $60$.

Answer:

The box - plot with the box starting at 54, ending at 58, the line inside the box at 56, and whiskers extending to 50 and 60.