Problem 63 - Beginning and Intermediate Algebra

Question

Find the arithmetic mean of each group of numbers. 19,24,20,17,23,17

Step-by-Step Solution

Answer

The arithmetic mean of the group of numbers 19,24,20,17,23,17 is \(20\).

Step 1: Add the numbers

To begin, we will add all the given numbers together: \(19+24+20+17+23+17\).

Step 2: Calculate the sum

Now, we can calculate the sum of the numbers: \(19+24+20+17+23+17=120\).

Step 3: Count the number of values in the group

Next, we need to determine the total number of values in the group. There are six numbers in the group: 19, 24, 20, 17, 23, and 17.

Step 4: Divide the sum by the number of values in the group

Now that we know the sum of the numbers (120) and the number of values in the group (6), we can find the arithmetic mean by dividing the sum by the number of values: \(\frac{120}{6}\).

Step 5: Calculate the arithmetic mean

Finally, we calculate the arithmetic mean by dividing 120 by 6: \(\frac{120}{6}=20\). So the arithmetic mean, or average, of the group of numbers 19, 24, 20, 17, 23, and 17 is 20.