VIEWS: 21 PAGES: 23 CATEGORY: Templates POSTED ON: 11/30/2012
November 30, 2012 Welcome to Class! Write down the assignment in your agenda Get a calculator and ISTEP Packet PROBLEM OF THE WEEK! November 30, 2012 November 30, 2012 Frequency Tables, Stem-and-Leaf Plots, and Line Plots The table below shows how many cars of each color were parked at a shopping mall at 10 AM on a Saturday. Color of Car Tally Frequency Red 1111 1111 1111 11 Blue 1111 1111 1111 1111 1 Gray 1111 1111 1111 1111 1111 1111 1 Gold 1111 1111 1 Green 1111 1111 Black 1111 1111 1111 1111 1. Create a frequency table by writing the numbers for each frequency. You can organize the frequency numbers using a stem-and-leaf plot. For example, the stem for 17 (the number of red cars) will be 1, the leaf will be 7. 2. Complete the stem-and-leaf plot. For each stem, order the leaves from least to greatest. Stems Leaves 0 9 1 2 3 Example 1: Key: The list shows the average high temperatures for 20 cities on one February day. Make a cumulative frequency table of the data. How many cities had average high temperatures below 59 degrees? 69, 66, 65, 51, 50, 50, 44, 41, 38, 32, 32, 28, 20, 18, 12, 8, 8, 4, 2, 2 February Temperatures in 20 Cities Average Highs Frequency Cumulative Frequency __________cities had average high temperatures below 59 degrees. Example 2: The data shows the number of years coached by the top 15 leaders in alltime NFL coaching victories. Make a stem-and-leaf plot of the data. Then find the number of coaches who coached fewer than 25 years. 33, 40, 29, 33, 21, 23, 23, 22, 19, 21, 18, 23, 15, 15, 15 Example 3: Make a line plot of the data. How many hours per day did Morgan babysit most often? M T W Th F S Su Wk 1 0 6 4 6 5 8 2 Wk 2 2 7 7 7 0 6 8 Wk 3 0 6 8 5 6 1 2 Wk 4 4 8 4 3 3 6 0 0 1 2 3 4 5 6 7 8 November 30, 2012 November 30, 2012 Welcome to Class! Write down the assignment in your agenda Put your homework on the top left corner of your desk Get ISTEP packet and calculator PROBLEM OF THE WEEK! November 30, 2012 Mean, Median, Mode, and Range Notes Mean-‐ ______________of the values _____________________by total numbers Median-‐ _________________________number Mode-‐ value occurs the _____________________ (most popular) Range-‐ diﬀerence between the largest and the _______________________________values Outlier-‐ an _______________________ value (number that does not ﬁt in with the rest of the data) Example 1: Find the mean, median, mode, and range of the data set. 4, 7, 8, 2, 1, 2, 4, 2 Mean: Mode: Median: Range: Example 2: The line plot shows the number of miles each of the 17 members of the cross-‐country team ran in a week. Which measure of central tendency best describes these data? JusMfy your answer. X X X X X X X X X X X X X X X X X X 4 6 8 10 12 14 16 Example 3: The data shows Sara’s scores for the last 5 math tests: 88, 90, 55, 94, and 89. IdenMfy the outlier in the data set. Then determine how the outlier aﬀects the mean, median, and mode of the data. Then tell which measure of central tendency best describes the data with the outlier. Outlier: With the outlier Without the outlier Mean: Mean: Median: Median: Mode: Mode: Range: Range: Example 4: Find the mean, median, mode, range, and outlier of the data set. November 30, 2012 Welcome to Class! Write down the assignment in your agenda Put your homework on the top left corner of your desk Get ISTEP packet, calculator, and blue math book PROBLEM OF THE WEEK! November 30, 2012 Bar Graphs and Histograms Notes Example 1: Use the bar graph to answer each question. Most Widely Spoken Language English Hindi Mandarin Spanish 0 200 400 600 800 1,000 Number of speakers (millions) A. Which language has the least number of native speakers? The bar for__________ is the shortest, so______________has the least number of native speakers. B. About how many more people speak Hindi than Spanish? About________________more people speak Hindi than Spanish. Example 2: The table shows the highway speed limits on interstate roads within three states. Make a double-bar graph of the data. State Urban Rural Florida 65 mi/h 70 mi/h Texas 70 mi/h 70 mi/h Vermont 55 mi/h 65 mi/h Example 3: The table below shows the number of hours students watch TV in one week. Make a histogram of the data. Number of Hours of TV 1 ll 6 lll 2 lll 7 llll llll Number of Hours of TV Frequency 3 llll llll 8 lll 4 llll l 9 llll 5 llll lll November 30, 2012 Welcome to Class! Write down the assignment in your agenda Put your homework on the top left corner of your desk Pass back papers Get Homework Quiz, calculator, and blue math book PROBLEM OF THE WEEK! November 30, 2012 Reading and Interpreting Circle Graph Notes Example 1: Use the circle graph to answer each question. A. Which group of echinoderms includes the fewest number of species? B. Approximately what percent of echinoderm species are brittle stars and basket stars? C. Which group is made up of a greater number of species, sea cucumbers or sea stars? Example 2: Leon surveyed 30 people about pet ownership. The circle graph shows his results. Use the graph to answer each question. A. How many people own dogs only? B. How many people own both cats and dogs? Check It Out! 1. Use the circle graph to answer the question. Approximately what percent of cars were midsize? 2. Fifty students were asked which instrument they could play. The circle graph shows the responses. Use the graph to answer the question. Ten students said they play the piano. How many play the flute? 3. Decide whether a bar graph or circle graph would best display the information. Explain your answers. The percent of people buying a certain color of a new vehicle Example 3: Decide whether a bar graph or circle graph would best display the information. Explain your answers. A. the percent of U.S. population living in the different states B. the number of tickets sold for each night of a school play November 30, 2012 Welcome to Class! Write down the assignment in your agenda Put your homework on the top left corner of your desk Pass back papers -- KEEP your quiz out!!! Get calculator PROBLEM OF THE WEEK! November 30, 2012 Box-and-Whisker Plots Notes Vocabulary box-and-whisker plot lower quartile upper quartile interquartile range Example 1: Use the data to make a box-and-whisker plot. Heights of Basketball Players (in.) 73, 67, 75, 81, 67, 75, 85, 69 Example 2: Use the box-and-whisker plots to answer each question below. A. Which set of heights of players B. Which players have a greater has the greater median? interquartile range? C. Which group of players has more predictability in their height? Check It Out! 1. Use the data to make a box-and-whisker plot. 42, 22, 31, 27, 24, 38, 35 2. Use the box-and-whisker plots below to answer the question. Which shoe store has a greater interquartile range? November 30, 2012 Welcome to Class! Write down the assignment in your agenda Put your homework on the top left corner of your desk Pass back papers Get ISTEP packet PROBLEM OF THE WEEK! November 30, 2012 Line Graphs Notes Example 1: Make a line graph of the data in the table. Use the graph to determine during which 2-hour period did the temperature change the most. Example 2: Use the graph to estimate the population of Florida in 1950. Example 3: The table shows stock prices for two stocks in one week. Make a double-line graph of the data. Check It Out! 1. Make a line graph of the data in the table. Use the graph to determine between which two months was the increase in number of homes sold the greatest. 2. Use the graph to estimate the population of Florida in 1970. 3. This table shows stock prices for two stocks in one week. Make a double-line graph of the data. November 30, 2012 Welcome to Class! Write down the assignment in your agenda Put your homework on the top left corner of your desk Come see me to pass back papers Get a blue math book PROBLEM OF THE WEEK! November 30, 2012 Choosing an Appropriate Display Notes Example 1: A. The students want to create a display to show each species of butterfly as a percentage of all species in the butterfly family. Which type of graph would they use? Explain. Each listed species is______________of the______________population. A_______________shows how a set of data is divided into parts. B. The students want to create a display to show the relationship between the species of butterflies in the park. Choose the type of graph that would best represent the data. Explain. A_____________________shows species do not__________________________ but are in the butterfly family. Example 2: The table shows the number of visitors to the butterfly park during a four-month period. Explain why each kind of display below would or would not appropriately represent the data. A. Circle Graph B. Bar Graph D. Line Graph C. Line Plot Check It Out! 1. The students want to create a display to show the total number of roses in the garden and see which ones occurred more frequently. Which type of graph should they use? Explain. 2. The table shows the weights of 4 animals at the Animal Sanctuary. Does the line graph below appropriately represent the same data? Explain. November 30, 2012 Welcome to Class! Write down the assignment in your agenda Put your homework on the top left corner of your desk Pass back papers Get a blue math book PROBLEM OF THE WEEK! November 30, 2012 Populations and Samples Notes Vocabulary population sample random sample convenience sample biased sample Example 1: Determine which sampling method will better represent the entire population. Justify your answer. Example 2: Determine whether each sample may be biased. Explain. A. The mayor surveys 100 supporters at a rally about the most important issues to be addressed by the city council. B. The principal sends out questionnaires to all of the students to find out what kind of music students prefer at dances. Example 3: A principal of a school with 1,500 students estimates that about 400 students will attend a band festival on Saturday. A random sample of 25 students showed that 6 of them will attend. Determine whether the principal’s estimate is likely to be accurate. Set up a proportion to predict the total number of students that will attend. students attending in sample students attending in population size of sample size of population Check It Out! 1. Determine which sampling method will better represent the entire population. Justify your answer. Sampling Method Results Pedro surveys the offense on his football team 87% said the quarterback was the on who was the team's more valuable player most valuable player. Chad surveys 5 players from the offense and 5 65% said the quarterback was the players from the defense on his football team on most valuable player. who was the team's most valuable player. 2. Determine whether the sample may be biased. Explain. The owner of a record shop surveys only customers over the age of 18 who shop at his store. 3. The owner of a large chain restaurant with 1,200 employees estimates that about 250 employees will ask for winter vacation. A random sample of 40 employees showed that 8 of them will ask for the time off. Determine whether the owner’s estimate is likely to be accurate. November 30, 2012 November 30, 2012 Scatter Plots Notes Example 1: Use the data to make a scatter plot. Describe the relationship between the data sets. Example 2: Write positive correlation, negative correlation, or no correlation to describe each relationship. A. Population increase with area. B. Height and number of vacation days Check It Out! 1. Use the data to make a scatter plot. Describe the relationship between the data sets. 2. Write positive correlation, negative correlation, or no correlation to describe each relationship. November 30, 2012 Welcome to Class! Write down the assignment in your agenda Put your homework on the top left corner of your desk Pass back papers Get a blue math book PROBLEM OF THE WEEK! November 30, 2012 Misleading Graphs Notes Example 1: Which graph could be misleading? Why? Example 2: Explain how you could redraw the graphs so it would not be misleading. Check It Out! 2. Explain how you could redraw the graph so it would not be misleading. November 30, 2012 Welcome to Class! Write down the assignment in your agenda Put your homework on the top left corner of your desk Pass back papers Get a calculator PROBLEM OF THE WEEK!