Calculate the Mean: Finding Average Marbles in a 4-Person Data Table

Question

Below is a table describing how many marbles a group of children have.

On average, how many marbles does each child have?
NameNumberofMarblesBen276SarahFatimaVladimir1

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the number of marbles each child has from the table.
  • Step 2: Calculate the total number of marbles by adding all the individual counts.
  • Step 3: Determine the number of children in the group.
  • Step 4: Use the average formula to compute the average number of marbles per child.

Now, let's work through each step:

Step 1: Identify the number of marbles each child has.
From the table, we have the following information:
Ben has 2 marbles.
Sarah has 7 marbles.
Fatima has 6 marbles.
Vladimir has 1 marble.

Step 2: Calculate the total number of marbles.
Total marbles = 2+7+6+1=162 + 7 + 6 + 1 = 16

Step 3: Determine the number of children.
There are 4 children: Ben, Sarah, Fatima, and Vladimir.

Step 4: Use the average formula.
The average number of marbles per child is given by:
Average=164=4 \text{Average} = \frac{16}{4} = 4

Therefore, the average number of marbles per child is 44.

Answer

4