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FSA Algebra 1 EOC

Shmooping the Sunshine State, Algebra 1 style.

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Shmoop isn't all about English or only into math; we love both numbers and letters equally, which is why Algebra 1 is one of our favorite subjects. Prepare for the FSA Algebra 1 EOC assessment with our guide, which includes practice problems galore and an in-depth review of topics in algebra and modeling, functions and modeling, and…statistics and the number system. Guess we know who gets picked last at family softball games.

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Sample Content

Comparing Data Sets Using Center and Spread

Use statistics appropriate to the shape of the data distribution to compare center (mean, median) and spread (interquartile range, standard deviation) of two or more different data sets (MAFS.912.S-ID.1.2)

Before embarking upon this exciting journey of comparing data sets, let's spend a minute or two reviewing mean, median, and mode.

In everyday life, the mean is referred to as the average. The mean is the sum of all the data points divided by the number of data points. A teacher might use the mean test score to determine if a test was fair or totally impossible, while a football coach might use the mean number of passing yards per game for each player to determine who's going to start in the big game and who's going to warm the bench. Bench players might complain that the coach is mean, but that mean doesn't mean what math mean…means.

The median, by contrast, is the number that occupies the middle of the numbers in a data set. To find the median, line the numbers up in order and find the number that's exactly in the middle. The median is used when there are outliers in the data causing it to be skewed. For example, if one person scored 95 on the test but the next highest score was 75, the median is a more accurate measure of how the class did than the mean.

The last measure of central tendency is mode. The mode is like an annoying song on the radio in that it's the number that keeps popping up, whether we like it or not. In other words, it's the number that appears most frequently.

In statistics, mean and median are both measures of center. They're useful in comparing data sets, but they're not the whole enchilada.

In order to really prove that Data Set A is superior to Data Set B, for example, we need the measures of spread.