Is each histogram uniform, symmetric, or skewed?
This histogram is symmetric because the halves are close to mirror images.
This histogram is skewed because the peak is not in the center.
Where have you seen symmetry before?
The parabolas you graphed in Chapter 9 are symmetric with respect to their axis of symmetry.
17 1 4 11 14 14 5 16 6 5 9 10 13 9
A cumulative frequency table shows the number of data values that lie in or below a given interval. For example, if the cumulative frequency for the interval 70–79 is 20, then there are 20 data values less than or equal to 79.
Text Messaging The numbers of text messages sent on one day by different students are shown below. What is a cumulative frequency table that represents the data?
17 3 1 30 11 7 1 5 2 39 22 13 2 0 21 1 49 41 27 2 0
Step 1 Divide the data into intervals. The minimum is 0 and the maximum is 49. You can divide the data into 5 intervals.
Step 2 Write the intervals in the first column. Record the frequency of each interval in the second column.
Step 3 For the third column, add the frequency of each interval to the frequencies of all the previous intervals.
What does a cumulative frequency table tell you?
A cumulative frequency table tells you the number of data values that are less than or equal to the upper limit of each interval.
12 13 15 1 5 7 10 9 2 2 7 11 2 1 0 15