Question

1. maximum mark: 6

palvinder breeds labrador puppies at his farm. over many years he recorded the weight (g) of the puppies. the data is illustrated in the following box and whisker diagram.

weight of labrador puppies (g)
(a) write down the median weight of the puppies. 1
(b) write down the upper quartile. 1
(c) find the interquartile range. 2
(d) find the weight of the heaviest possible puppy that is not an outlier. 2

Explanation:

Step1: Identify median from box plot

The median is the line inside the box, which aligns with 220 g.

Step2: Identify upper quartile (Q3)

The upper edge of the box is the upper quartile, aligning with 240 g.

Step3: Identify lower quartile (Q1)

The lower edge of the box is the lower quartile, aligning with 200 g.

Step4: Calculate interquartile range (IQR)

IQR = Q3 - Q1 = $240 - 200$

Step5: Calculate upper outlier threshold

Upper threshold = Q3 + 1.5×IQR = $240 + 1.5\times40$

Answer:

(a) 220 g
(b) 240 g
(c) 40 g
(d) 300 g