Question

Math

Posted 3 months ago

```
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.
$\square$ nuggets
```

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Answer from Sia

Posted 3 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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