Question

a jar holds 400 tumbled stones in three different colors. colin chooses three random samples from the jar, each containing 50 stones. the table shows his results. based on colins data, which of the following is the best estimate of the number of green stones in the jar? 11 35 50 88

Explanation:

Step1: Calculate the total number of green stones in samples

Add the number of green stones in each sample: \(11 + 9+13=33\)

Step2: Calculate the total number of stones in samples

Each sample has \(50\) stones, and there are \(3\) samples. So the total number of stones in samples is \(50\times3 = 150\)

Step3: Find the proportion of green stones in samples

The proportion \(p=\frac{33}{150}=\frac{11}{50}\)

Step4: Estimate the number of green stones in the jar

The jar has \(N = 400\) stones. Using the proportion, the estimated number of green stones \(G\) is \(G=\frac{11}{50}\times400\)

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Answer:

\(88\)