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Question
martha trabalha em uma creche para cães. por duas semanas, ela contou o número de cães na creche todos os dias. número de cães: 47 38 72 56 40 64 30 80 66 51 33 74 70 69 qual gráfico de caixa representa os dados?
Step1: Arrange data in ascending order
30, 33, 38, 40, 47, 51, 56, 64, 66, 69, 70, 72, 74, 80
Step2: Find the median (Q2)
Since there are 14 data - points, the median is the average of the 7th and 8th values. $\frac{56 + 64}{2}=60$
Step3: Find the lower half of data
30, 33, 38, 40, 47, 51, 56. The median of the lower half (Q1) is 40.
Step4: Find the upper half of data
64, 66, 69, 70, 72, 74, 80. The median of the upper half (Q3) is 69.
Step5: Identify the minimum and maximum
The minimum value is 30 and the maximum value is 80.
The box - and - whisker plot should have the left - hand side of the box at Q1 = 40, the line inside the box at Q2 = 60, the right - hand side of the box at Q3 = 69, the left whisker extending to 30 and the right whisker extending to 80.
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The box - and - whisker plot that has the left side of the box at 40, the middle line in the box at 60, the right side of the box at 69, the left whisker starting at 30 and the right whisker ending at 80. (Without seeing all the options precisely, this is the description of the correct box - and - whisker plot based on the data analysis).