Exercise 1 Page 890

Think about the definition of a histogram.

We are given a data set. {26, 37, 35, 49, 54, 53, 30, 36, 31, 28, 29, 33, 38, 47, 54, 50, 37, 26, 35, 51}We want to draw its histogram. A frequency table will help us get that going.

Frequency Table

Let's look at the data set to identify the maximum and minimum values from the given data. { 26, 37, 35, 49, 54, 53, 30, 36, 31, 28, 29, 33, 38, 47, 54, 50, 37, 26, 35, 51} The minimum value in the data is 26 and the maximum value is 54. Next, we can define the intervals for each line of our frequency table. Here, we can use intervals of 8.

Let's count the number of values in each interval. { 26, 37, 35, 49, 54, 53, 30, 36, 31, 28, 29, 33, 38, 47, 54, 50, 37, 26, 35, 51} Notice from the data that the first interval has 6 values, the second interval has 7 values, the third interval has 1 values, and 6 values in the fourth interval. We can complete the second column of our table using these frequencies.

Histogram

We can construct the histogram now. We use the frequency table to draw bars for the intervals. We make the height of each bar equal to the frequency of the interval. The bars should touch but not overlap.