# SAT Math: Statistics and Histograms

Last week’s post looked at Statistics and Frequency Tables. Today’s let’s look at a similar problem where the data is instead presented to us in a histogram. If you didn’t read last week’s post about frequency tables, you might want to start there first.

Let’s look at three problems based on data in a histogram.

The next three problems are based on the histogram below.

The library at the local college is trying to determine how frequently the library is used by students. They surveyed 25 students asking them “How many times did you use the library this week?” The results are summarized in the histogram below.

# SAT Math: Statistics and Frequency Tables

Today, we’re going to look at data that is presented in a frequency table. Before we do that,  however, let’s review the different descriptive statistics that you might see on the SAT Math test.

Mean – When people say they are finding the average, what they are usually finding is the mean, which is also called the arithmetic mean. To find the mean, you add up all of the data points and divide by the number of numbers.
Median – The median is the middle number when the numbers are ordered from least to greatest. If you have an even number of numbers, there is no “middle” number. In this case, the median is the mean of the two middle numbers.
Mode – The mode is the number that occurs the most frequently. It is possible to have more than one mode if there is a tie for what occurs most frequently. If each of the numbers appears only once, then we say there is no mode.
Range – The range is the difference between the largest number and the smallest number.

Now, let’s look a few problems that involve data that is presented to you in a frequency table.