Data, data, data! Most jobs and businesses rely on analyzed data to perform well in the working world, including the ACT. How else do you think the ACT determines Scaled Scores, Percentile Ranks, and Composite Scores for your test results? Since the beginning, even your grades in school have been analyzed to show both you and your parents how well you have been performing in class.

What you complete in class, such as homework, projects, quizzes, and tests, are given a specific weight and scored. Tests might count three times as much as a quiz, for instance. These scores are all averaged, or added together and then divided by the number of scores that were added, including the weights given to each type of score. The average of all the final grades you receive is your grade point average (GPA), which indicates whether or not you move onto the next grade level and can be a factor in determining where you go for high school or college.

Here are a few ways you can analyze data:

Standard deviation and variance are also thought of as measures of central tendency, but these are focused on in depth in the Statistics lesson.

- Sherry’s previous quiz grades are 87, 60, 90, and 84. If she wants her quiz average to be at least an 85, what is the minimum score she must get on the next quiz?
- Ms. Barnes decided to add 3 points to each of her students’ test. Which of the following measures of central tendency will remain the same?
- Mean
- Median
- Mode
- Range

- What is the mode of the following set of data?

{1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8} - The mean of x, 3
*x*, 5*x*, and 7*x*is 40. What is the value of*x*? - If the value
*w*is added to set*V*= {1, 3, 6, 9, 14, 15, 19, 23}, which of the following could be the median of the new set of values?- 11.5
- 19
- 3
- 9

**Answers to Practice Problems**

- 104
- Range
- 4
- 10
- 9

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