## Descriptive Statistics

What is the average of all the integers from 1 to 348, inclusive?

A. 116

B. 173.5

C. 174

D. 174.5

E. 238.5

## Knowsys Method

**Read the question carefully. **Make sure you know all of the relevant vocabulary. For example, an integer is a whole number rather than a fraction or a decimal.

**Identify the bottom line. Make a note on your paper to remind you to find the average: avg = ?**

**Assess your options. **Your Knowsys handbook has a quick and easy method for solving this type of problem. To find the average of sequential, evenly-spaced numbers: average the extremes (the biggest number and the smallest number).

**Attack the problem. **You know that an average is the sum of the numbers divided by the number of the numbers. In this problem you have 1 and 348. Use the same method of adding them up and then dividing them by the number of the numbers (2).

1 + 348 = 349. (Now you must divide to find the average of these two numbers.)

349 / 2 = 174.5

**Loop back. **You followed the method for finding the average of sequential, evenly-spaced numbers. Look down at your answer choices.

The correct answer is (D).

This is a medium level question.

**Want some help reviewing the math concepts you need to master? **Try out the Knowsys Pre-Algebra Flashcards, the Knowsys Algebra I Flashcards, and the Knowsys SAT & ACT Math Practice book.