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

The following data points represent the number of chicken nuggets on each family member's plate.\newline1,3,0,6,? 1,3,0,6, ? \newlineIf the mean of the data set is 33 chicken nuggets, find the missing number of chicken nuggets.\newlinenuggets

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Q. The following data points represent the number of chicken nuggets on each family member's plate.\newline1,3,0,6,? 1,3,0,6, ? \newlineIf the mean of the data set is 33 chicken nuggets, find the missing number of chicken nuggets.\newlinenuggets
  1. Understand the problem: Understand the problem. We are given a set of numbers representing the number of chicken nuggets on each family member's plate: 1,3,0,6,?1, 3, 0, 6, ?. We are also told that the mean of this data set is 33 chicken nuggets. We need to find the missing number that will make the mean of the data set equal to 33.
  2. Calculate the sum: Calculate the sum of the given numbers. We add the known numbers of chicken nuggets together: 1+3+0+6=101 + 3 + 0 + 6 = 10.
  3. Use the formula: Use the formula for the mean. The mean is the sum of all numbers divided by the count of numbers. We know the mean is 33, and there are 55 numbers in the data set (including the missing number). Let's denote the missing number as mm. The formula for the mean is (sum of all numbers) / (count of numbers) = mean, which translates to (10+m)/5=3(10 + m) / 5 = 3.
  4. Solve for the missing number: Solve for the missing number mm. We multiply both sides of the equation by 55 to isolate mm on one side: 5×((10+m)/5)=5×35 \times ((10 + m) / 5) = 5 \times 3, which simplifies to 10+m=1510 + m = 15.
  5. Subtract to find value: Subtract 1010 from both sides to find the value of mm: 10+m−10=15−1010 + m - 10 = 15 - 10, which simplifies to m=5m = 5.

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