Question

what is the arithmetic mean of the following numbers?
10, 6, 4, 4, 6, 4, 1

Explanation:

Step1: Sum the numbers

First, we add up all the given numbers: \(10 + 6 + 4 + 4 + 6 + 4 + 1\). Let's calculate that: \(10+6 = 16\), \(16+4 = 20\), \(20+4 = 24\), \(24+6 = 30\), \(30+4 = 34\), \(34+1 = 35\). So the sum is \(35\).

Step2: Count the numbers

Now, we count how many numbers there are. The numbers are \(10, 6, 4, 4, 6, 4, 1\), so there are \(7\) numbers.

Step3: Calculate the mean

The arithmetic mean is the sum divided by the number of values. So we divide the sum (\(35\)) by the number of values (\(7\)): \(\frac{35}{7}=5\).

Answer:

\(5\)