Calculate the average (arithmetic mean) of the following numbers, rounded to the nearest tenth: 173, 299, 181, 103, 540, 81, 270, 360.
Understand the Problem
The question asks to calculate the average of a given set of numbers and round the answer to the nearest tenth.
Answer
$9.3$
Answer for screen readers
$9.3$
Steps to Solve
- Sum the numbers
Add all the numbers together:
$7.1 + 11.5 + 6.3 + 13.0 + 9.2 + 8.5 =$ $55.6$
- Count the numbers
Count how many numbers are in the set.
There are 6 numbers in the set.
- Calculate the average
Divide the sum of the numbers by the count of the numbers to find the average.
$\frac{55.6}{6} = 9.266666...$
- Round to the nearest tenth
Round the average to the nearest tenth. The digit in the tenths place is 2, and the digit in the hundredths place is 6, which is greater than or equal to 5, so we round the tenths place up.
$9.266666... \approx 9.3$
$9.3$
More Information
The average is a measure of central tendency. It represents a typical value in a set of numbers.
Tips
A common mistake is miscounting the number of values in the set, which would lead to an incorrect average. Another common mistake is making an error during the addition of the numbers. A final common mistake can occur during the rounding in the last step.
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