Questions: Dr. Baker, a veterinarian, recorded the weight of each newborn kitten her office saw today. Kittens' weights ( g ) What was the interquartile range of the kittens' weights? grams

Dr. Baker, a veterinarian, recorded the weight of each newborn kitten her office saw today. Kittens' weights ( g ) What was the interquartile range of the kittens' weights? grams
Transcript text: Dr. Baker, a veterinarian, recorded the weight of each newborn kitten her office saw today. Kittens' weights ( $g$ ) What was the interquartile range of the kittens' weights? $\square$ grams
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Solution

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Solution Steps

Step 1: Identify the Quartiles

The box plot shows the distribution of the kittens' weights. The lower quartile (Q1) is at 130 grams, and the upper quartile (Q3) is at 160 grams.

Step 2: Calculate the Interquartile Range (IQR)

The interquartile range (IQR) is calculated by subtracting the lower quartile (Q1) from the upper quartile (Q3).

\[ \text{IQR} = Q3 - Q1 \]

Step 3: Perform the Calculation

Substitute the values of Q3 and Q1 into the formula:

\[ \text{IQR} = 160 \, \text{grams} - 130 \, \text{grams} = 30 \, \text{grams} \]

Final Answer

The interquartile range of the kittens' weights is 30 grams.

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