Question

johnny está treinando para uma corrida de bicicleta. ele registrou a distância que percorreu em suas primeiras sessões de treinamento. distância pedalada (mi.) 17 12 15 8 13 20 12 19 qual gráfico de caixa representa os dados? distância pedalada (mi.) distância pedalada (mi.)

Explanation:

Step1: Arrange data in ascending order

8, 12, 12, 13, 15, 17, 19, 20

Step2: Find the median (Q2)

Since there are 8 data - points, the median is the average of the 4th and 5th values. So, $Q2=\frac{13 + 15}{2}=14$

Step3: Find the lower half of data

8, 12, 12, 13. The median of the lower half (Q1) is the average of the 2nd and 3rd values. So, $Q1=\frac{12+12}{2}=12$

Step4: Find the upper half of data

15, 17, 19, 20. The median of the upper half (Q3) is the average of the 2nd and 3rd values. So, $Q3=\frac{17 + 19}{2}=18$

Step5: Identify the minimum and maximum

The minimum value is 8 and the maximum value is 20.

Step6: Analyze box - and - whisker plots

The box in a box - and - whisker plot represents the inter - quartile range (IQR) from Q1 to Q3. The line inside the box is Q2. The whiskers extend from the box to the minimum and maximum values. The correct box - and - whisker plot should have the box starting at 12, the line inside the box at 14, the box ending at 18, and whiskers extending to 8 and 20.

Answer:

Based on the above analysis, the correct box - and - whisker plot is the one where the box starts at 12, the middle line of the box is at 14, the box ends at 18, and the whiskers go to 8 and 20. (Since no specific labels for the plots are given, this description is the answer).