Question

Math

Posted 6 months ago

```
The following data points represent the number of chicken nuggets on each family member's plate.
$1,3,0,6, ?$
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 $1 + 3 + 0 + 6 + x$, where $x$ 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 $3 \times 5 = 15$

step 4

Setting up the equation: $1 + 3 + 0 + 6 + x = 15$

step 5

Simplifying the equation: $10 + x = 15$

step 6

Solving for $x$: $x = 15 - 10$

step 7

Therefore, $x = 5$

[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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