Question

a veterinarian weighed a litter of newborn puppies. puppies weights (g) 223 238 280 253 217 200 267 242 which box plot represents the data? puppies weights (g) puppies weights (g)

Explanation:

Step1: Sort the data

First, sort the data set \(223, 238, 280, 253, 217, 200, 267, 242\) in ascending order: \(200, 217, 223, 238, 242, 253, 267, 280\).

Step2: Find the minimum, maximum, median, Q1, and Q3

• Minimum (\(min\)): \(200\)
• Maximum (\(max\)): \(280\)
• Median (\(Q2\)): Since \(n = 8\) (even), \(Q2=\frac{238 + 242}{2}=240\)
• First quartile (\(Q1\)): For \(n = 8\), \(Q1=\frac{217+223}{2}=220\)
• Third quartile (\(Q3\)): For \(n = 8\), \(Q3=\frac{253 + 267}{2}=260\)

Now, check the box - plots:

• The first box - plot has \(min = 200\), \(Q1 = 220\), \(Q2 = 240\), \(Q3 = 260\), \(max = 300\) (incorrect \(max\))
• The second box - plot has \(min = 200\), \(Q1 = 220\), \(Q2 = 240\), \(Q3 = 260\), \(max = 280\) (correct)

Answer:

The second box - plot represents the data.