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Question
Math
Posted 6 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 6 months ago
Solution by Steps
step 1
To find the missing number of chicken nuggets, we need to use the mean formula, which is the sum of all values divided by the number of values
step 2
The sum of the given numbers is 1+3+0+6+x1 + 3 + 0 + 6 + x, where xx is the missing number of chicken nuggets
step 3
The mean is given as 3, and there are 5 data points, so the sum of all values should be 3×5=153 \times 5 = 15
step 4
Setting up the equation: 1+3+0+6+x=151 + 3 + 0 + 6 + x = 15
step 5
Simplifying the equation: 10+x=1510 + x = 15
step 6
Solving for xx: x=1510x = 15 - 10
step 7
Therefore, x=5x = 5
[1] Answer
5 nuggets
Key Concept
Mean of a Data Set
Explanation
The mean of a data set is calculated by dividing the sum of all values by the number of values. To find a missing value, we set up an equation where the sum of the known values plus the missing value equals the mean multiplied by the number of values.

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