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Answer :
Final answer:
The mean weight of the batch of toys is 1.50 ounces. The toys that should be thrown out are the ones with weights that are not within 0.05 ounces of the mean weight. The toys with weights 1.43 ounces and 1.55 ounces should be thrown out.
Explanation:
The mean weight of the batch of toys is calculated by adding up all the individual weights and dividing by the number of toys. In this case, the mean weight is (1.48 + 1.53 + 1.55 + 1.43 + 1.51) / 5 = 1.50 ounces.
To determine which toys should be thrown out, we need to compare each individual weight to the mean weight and check if it is not within 0.05 ounces of the mean. The toys that should be thrown out are the ones that do not meet this criteria.
Out of the given weights, the toy with the weight 1.43 ounces and the toy with the weight 1.55 ounces should be thrown out. Therefore, the correct answer is option C) 1.43 and 1.55.
We will first have to calculate the mean weight of the batch of toys. You can do this by adding each weight and then dividing the total by the number of weights. So, the sum of the weights 1.48, 1.53, 1.55, 1.43, and 1.51 is 7.5 ounces. As there are 5 toys, you would then divide 7.5 by 5 to get a mean weight of 1.5 ounces.
The toys have to remain within 0.05 ounces of the mean weight. This means any toy that weighs less than 1.45 ounces or more than 1.55 ounces will be thrown out. Looking at the weights of the toys, only the toy that weighs 1.43 ounces is outside this range. So, the toy that should be thrown out is 1.43 ounces which corresponds to option C).
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