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Example 7-4b Objective Construct and interpret bar graphs and histograms

Example 7-4b Vocabulary Bar graph A visual display of data by using solid bars to represent quantities

Example 7-4b Vocabulary Histogram A special kind of bar graph using bars to represent frequency of numerical data

Example 7-4b Review Vocabulary Frequency Table A display of data that shows how often an item occurs

Lesson 7 Contents Example 1Construct a Bar Graph Example 2Construct a Histogram Example 3Compare Bar Graphs and Histograms Example 4Use Graphs to Solve a Problem Example 5Use Graphs to Solve a Problem

Example 7-1a TOURISM The table below shows the average number of vacation days per year for people in various countries. Make a bar graph to display the data. 13United States 25Japan 25Korea 26Canada 28United Kingdom 34Brazil 35Germany 37France 42Italy Vacation Days per YearCountry Source: The World Almanac 1/5

Example 7-1a 13United States 25Japan 25Korea 26Canada 28United Kingdom 34Brazil 35Germany 37France 42Italy Vacation Days per YearCountry Source: The World Almanac 1/5 Decide on a scale and interval Find the largest number Since the scale must start at 0 on a bar graph and must include the largest number so scale should be at least would be appropriate intervals

Example 7-1a 1/5 The numbers of the intervals are identified on the lines not the spaces Start at zero (0) and use 10 as the intervals Label the vertical axis which is the intervals

Example 7-1a 1/5 Label the horizontal axis which is the categories

Example 7-1a 1/5 Give the graph a title Must have a relationship between the horizontal and vertical axis

Example 7-1a 1/5 Draw the bars using the data from the chart

Example 7-1a 1/5 Answer:

Example 7-1b SPORTS The table below shows the average number of miles run each day during training by members of the cross country track team. Make a bar graph to display the data. Runner Miles Run Each Day Bob 9 Tamika12 David14 Anne 8 Jonas 5 Hana10 1/5

Example 7-1b Answer: 1/5

Example 7-2a BASKETBALL The number of wins for the 29 teams of the NBA for the season have been organized into a frequency table. Make a histogram of the data. Number of Wins Frequency /5 Decide on a scale and interval Find the largest number Since the scale must start at 0 on a bar graph and must include the largest number so scale should be at least

Example 7-2a 2/5 The numbers of the intervals are identified on the lines not the spaces Start at zero (0) The interval is by 1’s but can label every other line

Example 7-2a 2/5 Label the vertical axis Number of Wins Frequency

Example 7-2a 2/5 Add the categories on the horizontal axis Number of Wins Frequency

Example 7-2a 2/5 Label the horizontal axis Number of Wins Frequency

Example 7-2a 2/5 Give histogram a title BASKETBALL The number of wins for the 29 teams of the NBA for the season have been organized into a frequency table. Make a histogram of the data.

Example 7-2a 2/5 Draw a bar to represent the frequency of each category Number of Wins Frequency Remember: The bars touch in a histogram

Example 7-2a 2/5 Answer:

Example 7-2b SPEED The speeds of cars on a stretch of interstate are clocked by a police officer and have been organized into a frequency table. Make a histogram of the data. Speed (mph)Frequency 50 – – – – /5

Example 7-2b Answer: 2/5

Example 7-3a Using the graphs below, which graph would you use to tell how many cars under $30,000 were sold? Answer: Graph A 3/5

Example 7-3b Which graph would you use to tell how many houses sold for $150,000 or greater in a recent year? Answer: Graph B 3/5

Example 7-3a Which graph would you use to compare the prices of a mid-size car and an SUV? Answer: Graph B 3/5

Example 7-3b Which graph would you use to compare the price of a ranch style home to the price of a colonial style home? Answer: Graph A 3/5

Example 7-4a MULTIPLE- CHOICE TEST ITEM Which conclusion cannot be made about the data in the graph? A There are 67 cars in the data set. B Two cars are priced between $30,000 and $34,999. C Most of the cars are priced between $15,000 and $19,999. D Mid-size cars sell the best. 4/5

Example 7-4a MULTIPLE- CHOICE TEST ITEM Which conclusion cannot be made about the data in the graph? A There are 67 cars in the data set. 4/ Estimation could conclude there are 67 cars

Example 7-4a MULTIPLE- CHOICE TEST ITEM Which conclusion cannot be made about the data in the graph? B Two cars are priced between $30,000 and $34,999. 4/5 Could estimate 2 cars

Example 7-4a MULTIPLE- CHOICE TEST ITEM Which conclusion cannot be made about the data in the graph? C Most of the cars are priced between $15,000 and $19,999. 4/5 Bar shows most of cars are priced in this category

Example 7-4a MULTIPLE- CHOICE TEST ITEM Which conclusion cannot be made about the data in the graph? D Mid-size cars sell the best. 4/5 Histogram does not have any information on size of car

Example 7-4a MULTIPLE- CHOICE TEST ITEM Which conclusion cannot be made about the data in the graph? A There are 67 cars in the data set. B Two cars are priced between $30,000 and $34,999. C Most of the cars are priced between $15,000 and $19,999. D Mid-size cars sell the best. 4/5 Answer: D

Example 7-4b Answer: B MULTIPLE- CHOICE TEST ITEM Which conclusion cannot be made about the data in the graph? A There are 21 homes in the $150,000 - $199,000 interval. B Colonial style homes tend to cost more than ranch style homes. C A total of 79 homes are in the data set. D The most houses are priced between $200,000 and $249,000 * 4/5

End of Lesson 7 Assignment Lesson 2:7 Bar Graphs and Histograms All