12-2 Frequency and Histograms

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12-2 Frequency and Histograms

Frequency: the number of data values in that interval Frequency Table: groups a set of data values into intervals and shows the frequency for each interval Intervals in frequency tables do not overlap, do not have any gaps, and are usually of equal size!

Problem 1: Making a Frequency Table The numbers of home runs by batters in a local home run derby are listed below. What is the frequency table that represents the data? 7, 17, 14, 2, 7, 9, 5, 12, 3, 10, 4, 12, 7, 15

Histogram: A graph that can display data from a frequency table. A histogram has one bar for each interval. The height of each bar shows the frequency data in the interval it represents. No GAPS between bars. Bars are usually equal width.

Problem 2: Making a Histogram The data below are the numbers of hours per week a group of students spent watching television. What is a histogram that represents the data? 7, 10, 1, 5, 14, 22, 6, 8, 0, 11, 13, 3, 4, 14, 5

Describing Histograms

Problem 3: Interpreting Histograms Is the histogram uniform, symmetric, or skewed?

Cumulative Frequency Table: shows the number of data values that lie in or below a given interval.

Problem 4: Making a Cumulative Frequency Table The number 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