Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

um veterinário pesou uma ninhada de filhotes recém - nascidos. pesos do…

Question

um veterinário pesou uma ninhada de filhotes recém - nascidos. pesos dos cachorros (g) 223 238 280 253 217 200 267 242 qual gráfico de caixa representa os dados? pesos dos cachorros (g) pesos dos cachorros (g)

Explanation:

Step1: Arrange data in ascending order

200, 217, 223, 238, 242, 253, 267, 280

Step2: Find the median (Q2)

Since there are 8 data - points, the median is the average of the 4th and 5th ordered values. So, $Q2=\frac{238 + 242}{2}=240$.

Step3: Find the lower half of data

The lower half is 200, 217, 223, 238. The median of the lower half (Q1) is $\frac{217+223}{2}=220$.

Step4: Find the upper half of data

The upper half is 242, 253, 267, 280. The median of the upper half (Q3) is $\frac{253 + 267}{2}=260$.

Step5: Identify the minimum and maximum values

The minimum value is 200 and the maximum value is 280.

Step6: Match with box - and - whisker plots

A correct box - and - whisker plot will have the minimum at 200, Q1 at 220, Q2 at 240, Q3 at 260, and the maximum at 280.

Answer:

The box - and - whisker plot with the minimum value at 200, the first quartile (Q1) at 220, the median (Q2) at 240, the third quartile (Q3) at 260, and the maximum value at 280 represents the data.