Histograms Class Work 1. The list below shows the number of milligrams of caffeine in certain types of tea. a. Use the intervals 1 20, 21 40, 41 60, 61 80, and 81 100 to make a frequency table. b. Use the frequency table you created to construct a histogram. c. Make two observations about the data based on the histogram you constructed.
2. The histogram below shows the relationship between the price of a used car and the number of used cars sold. Based on the histogram, which statement must be true? A. No used car sold for $7,000. B. Exactly of the used cars sold for $4,000. C. The most expensive used car sold for $11,999. D. Most of the used cars sold for less than $6,000. Number Sold 9 8 7 6 4 3 2 1 0 2,000 3,999 Used Cars Sold 4,000,999 6,000 7,999 8,000 9,999 10,000 11,999 Price (in dollars) 3. The histogram below shows the scores for all the students who took a mathematics quiz. What percent of the students received a score of 80 or above? 4. The ages of 13 members of a car club are summarized in the histogram below. Which age could be the median age of these club members? Explain your reasoning. A. 26 B. 31 C. 3 D. 44
Histograms Class Work EXTENSION PROBLEMS Part 1 Write a survey question whose results can be displayed in a histogram. Make a prediction about your results. Then survey your class and display the results in a histogram. How does your prediction compare with your results? Part 2 Use the information you collected in Part 1 to create a circle graph (use a compass and a protractor). Each sector of the circle should represent an interval. Stuck on how you could use a protractor to make a circle graph? Remember that a circle is made up of 360. You will need to find out how many degrees are in each sector of the circle.
Histograms Class Work Version 2 1. The list below shows the number of milligrams of caffeine in certain types of tea. Hint: Remember to cross off each data point in the box when you tally it in the table below! a. Use the information above to complete the frequency table. Caffeine in Different Teas Caffeine (mg) Tally Frequency 1 20 21 40 41 60 61 80 81 100 b. Use the frequency table above to construct a histogram. Hint: Look at your notes for a histogram checklist! c. Make two observations about the data based on the histogram you constructed. Possible Sentence Starters Most of the tea There are types of teas with mg... There are not any
2. The histogram below shows the relationship between the price of a used car and the number of used cars sold. Based on the histogram, which statement must be true? E. No used car sold for $7,000. F. Exactly of the used cars sold for $4,000. G. The most expensive used car sold for $11,999. H. Most of the used cars sold for less than $6,000. Number Sold 9 8 7 6 4 3 2 1 0 2,000 3,999 Used Cars Sold 4,000,999 6,000 7,999 8,000 9,999 10,000 11,999 Price (in dollars) 3. The histogram below shows the scores for all the students who took a mathematics quiz. Hint: Start by circling the bars that represent 80 points or more. What percent of the students received a score of 80 or above? 4. The ages of 13 members of a car club are summarized in the histogram below. Hint: The median is the middle value in an ordered set of data. Which age could be the median age of these club members? Explain your reasoning. A. 26 B. 31 C. 3 D. 44
Histograms Class Work - KEY 1. The list below shows the number of milligrams of caffeine in certain types of tea. a. Use the intervals 1 20, 21 40, 41 60, 61 80, and 81 100 to make a frequency table. b. Use the frequency table you created to construct a histogram. c. Make two observations about the data based on the histogram you constructed. Most tea has between 21-40 mg of caffeine. Seven types of tea have between 1-20 mg of caffeine. More than half of the tea has 40 mg or less of caffeine. About 20% of the tea has more than 40 mg of caffeine. There are not any teas that have 61 80 mg of caffeine.
2. The histogram below shows the relationship between the price of a used car and the number of used cars sold. Based on the histogram, which statement must be true? A. No used car sold for $7,000. B. Exactly of the used cars sold for $4,000. C. The most expensive used car sold for $11,999. D. Most of the used cars sold for less than $6,000. Number Sold 9 8 7 6 4 3 2 1 0 2,000 3,999 Used Cars Sold 4,000,999 6,000 7,999 8,000 9,999 10,000 11,999 Price (in dollars) 3. The histogram below shows the scores for all the students who took a mathematics quiz. What percent of the students received a score of 80 or above? + 6 = 11 11 20 = 100 100 4. The ages of 13 members of a car club are summarized in the histogram below. = % Which age could be the median age of these club members? Explain your reasoning. A. 26 B. 31 The median is the middle value in an ordered set of data. C. 3 There are a total of 13 data points (2 + 3 + + 3) in this set of data. D. 44 That means the 7 th data point would be the median, which falls in the 32 38 age interval.