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Objective Construct and interpret bar graphs and histograms
Vocabulary Bar graph A visual display of data by using solid bars to represent quantities
Vocabulary Histogram A special kind of bar graph using bars to represent frequency of numerical data
Review Vocabulary Frequency Table A display of data that shows how often an item occurs
Example 1 Construct a Bar Graph Example 2 Construct a Histogram Example 3 Compare Bar Graphs and Histograms Example 4 Use Graphs to Solve a Problem Example 5 Use Graphs to Solve a Problem
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. Country Vacation Days per Year Italy 42 France 37 Germany 35 Brazil 34 United Kingdom 28 Canada 26 Korea 25 Japan 25 United States 13 Source: The World Almanac 1/5
Country Decide on a scale and interval Find the largest number Vacation Days per Year Italy France Germany Brazil United Kingdom Canada Korea Japan United States 42 37 35 34 28 26 25 25 13 Source: The World Almanac Since the scale must start at 0 on a bar graph and must include the largest number so scale should be at least 0 - 50 10 would be appropriate intervals 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 1/5
Label the horizontal axis which is the categories 1/5
Give the graph a title Must have a relationship between the horizontal and vertical axis 1/5
Draw the bars using the data from the chart 1/5
Answer: 1/5
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. Miles Runner Each Day Bob 9 Tamika 12 David Anne Jonas Hana 14 8 5 10 1/5
Answer: 1/5
BASKETBALL The number of wins for the 29 teams of the NBA for the 2000 -2001 season have been organized into a frequency table. Make a histogram of the data. 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 0 - 10 Number Frequency of Wins 11 -20 21 -30 31 -40 41 -50 51 -60 3 4 4 10 8 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 2/5
Label the vertical axis Number Frequency of Wins 11 -20 21 -30 31 -40 41 -50 51 -60 3 4 4 10 8 2/5
Add the categories on the horizontal axis Number Frequency of Wins 11 -20 21 -30 31 -40 41 -50 51 -60 3 4 4 10 8 2/5
Label the horizontal axis Number Frequency of Wins 11 -20 21 -30 31 -40 41 -50 51 -60 3 4 4 10 8 2/5
Give histogram a title BASKETBALL The number of wins for the 29 teams of the NBA for the 2000 -2001 season have been organized into a frequency table. Make a histogram of the data. 2/5
Draw a bar to represent the frequency of each category Number Frequency of Wins 11 -20 3 21 -30 4 31 -40 4 41 -50 10 51 -60 8 Remember: The bars touch in a histogram 2/5
Answer: 2/5
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 – 59 2 60 – 69 14 70 – 79 18 80 – 89 3 2/5
Answer: 2/5
Using the graphs below, which graph would you use to tell how many cars under $30, 000 were sold? Answer: Graph A 3/5
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
Which graph would you use to compare the prices of a mid-size car and an SUV? Answer: Graph B 3/5
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
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
MULTIPLE- CHOICE TEST ITEM Which conclusion cannot be made about the data in the graph? A There are 67 cars in the data set. 30 + 26 + 10 + 1 Estimation could conclude there are 67 cars 4/5
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. Could estimate 2 cars 4/5
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. Bar shows most of cars are priced in this category 4/5
MULTIPLE- CHOICE TEST ITEM Which conclusion cannot be made about the data in the graph? D Mid-size cars sell the best. Histogram does not have any information on size of car 4/5
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. Answer: D 4/5
* 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 Answer: B 4/5
Assignment Lesson 2: 7 Bar Graphs and Histograms 4 - 12 All
- Slides: 38