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The following masses were recorded for 12 different Zambian One kwacha coins (all given in grams): 5.683 5.549 5.548 5.5525.620 5.536 5.539 5.6845.551 5.552 5.554 5.632Report the mean,​

2 Answers

3 votes

Final answer:

The question provides masses of 12 Zambian One kwacha coins and asks to calculate the mean. The mean is found by adding all the weights and dividing by the number of coins. The concept of significant figures also relates to measurement accuracy.

Step-by-step explanation:

The subject of this question is Mathematics, and it falls under the category of statistics, specifically the calculation of the mean weight of a group of objects (Zambian One kwacha coins) and the estimation of measurement uncertainty. To calculate the mean, one would sum all of the recorded masses of the coins and divide by the total number of coins. In the context of measurement accuracy and uncertainty, the topic also covers the concept of significant figures, which are the digits in a measurement that are known with certainty plus the first uncertain digit.

Furthermore, if we were to apply the general concept of mean and standard deviation to a hypothetical situation with coins having an average weight of 5.201 g with a standard deviation of 0.065 g, and a vending machine accepting coins within a certain weight range, we can predict the proportion of coins that would likely be rejected based on the standard deviation and the specified weight range.

User Ritt
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9 votes

Answer:

The mean of the 12 Zambian One kwacha coins is 5.583

Step-by-step explanation:

Mean = Sum of the total masses ÷ No of different masses

Mean = 5.683+ 5.549 +5.548 + 5.552 + 5.620 + 5.536 + 5.539 + 5.684 + 5.551 + 5.552 + 5.554 + 5.632 ÷ 2

Mean = 67 ÷ 12

Mean = 5.583

The mean of the different Zambian one kwacha coins is 5.583

User Vikyd
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