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Question
Math
Posted 10 months ago

The following data points represent the number of chicken nuggets on each family member's plate.
1,3,0,6,?
1,3,0,6, ?


If the mean of the data set is 3 chicken nuggets, find the missing number of chicken nuggets.
\square nuggets
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Answer from Sia
Posted 10 months ago
Solution by Steps
step 1
To find the missing number, we first need to understand the concept of mean. The mean of a set of numbers is the sum of the numbers divided by the count of numbers
step 2
Given the dataset \{1, 3, 0, 6, ?\} with a mean of 3, we set up the equation to find the sum: 1 + 3 + 0 + 6 + x = 3 \times 5
step 3
Simplify the left side of the equation: 10 + x = 15
step 4
Solve for x by subtracting 10 from both sides: x = 15 - 10
step 5
The missing number is x = 5
[1] Answer
5 nuggets
Key Concept
Mean of a Dataset
Explanation
The mean is calculated by summing all the values in a dataset and dividing by the number of values. To find a missing value when the mean is known, we use the mean formula in reverse.

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