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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. complete each statement based on colins data. there are likely to be more brown stones than blue stones in the jar. it is likely that? than half the stones in the jar are blue.
Step1: Calculate the average number of blue stones in the samples
First, find the total number of blue stones in the three samples: \(18 + 19+18=55\).
Then, calculate the average number of blue stones per sample. Since there are 3 samples, the average is \(\frac{55}{3}\approx18.33\).
Step2: Calculate the proportion of blue stones in a sample
The proportion of blue stones in a sample (where each sample has 50 stones) is \(\frac{18.33}{50}=0.3666\).
Half of the stones in a sample (or in the jar, since the samples are representative) is \(0.5\).
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