Day 15: Data Goal: To organize data in various graphs. AND To describe the central tendency of data. Standard: – Describe a data set using data displays, including box-and-whisker plots; describe and compare data sets using summary statistics, including measures of center, location and spread. Measures of center and location include mean, median, quartile and percentile. Measures of spread include standard deviation, range and inter-quartile range. Know how to use calculators, spreadsheets or other technology to display data and calculate summary statistics. Guiding Question: How can I organize data? AND What can the measures of central tendency tell me about a set of data? Materials: Pencil, Folder, Student Packet 1
Order the Fractions from least to greatest: Order the Decimals from least to greatest: A)0.01, 0.1, 0.11, B) 16.7, 16.07, 15.7, Prime Factorization: A) 18 B)72 Reflection Starters: “I know……” or “I need to work on……” Math Review Day 15 QUIZ 2
Access: Write the percent: A) B) Put the data set in order from least to greatest: A) 2.4, 5.1, 3.7, 2.1, 3.6, 4.0, 2.9, B) 5, 5, 6, 8, 7, 4, 6, 5, 9, 3, 6, 6, 9 3
Read and Interpret the graph: A)What casserole was ordered the most? B) About how many orders were placed? C) About how many more tuna noodle casseroles were ordered than king ranch casserole? D) About what percent of the total orders were baked ziti? 4
A)Which feature received the same satisfaction rating for each SUV? B)B) Which SUV received a better rating for mileage? 5
A)At what time was the humidity the lowest? B) During which 4-hour time period did the humidity increase the most? 6
A)In which months did station A charge more than station B B) During which month(s) did the stations charge the same for gasoline? 7
A) Which ingredients are present in equal amounts? 8
Stem and Leaf plots: The number of defective widgets in batches of 1000 are given below. Use the data to make a stem-and-leaf plot. 14, 12, 8, 9, 13, 20, 15, 9, 21, 8, 13, 19 9
Try) The temperatures in degrees Celsius for two weeks are given below. Use the data to make a stem-and-leaf plot. 7, 32, 34, 31, 26, 27, 23, 19, 22, 29, 30, 36, 35, 31 10
Frequency Tables and Histograms: The numbers of students enrolled in Western Civilization classes at a university are given below. Use the data to make a frequency table with intervals and then a histogram: 12, 22, 18, 9, 25, 31, 28, 19, 22, 32, 14 11
Try: The number of days Maria's last 15 vacations are listed below. Use the data to make a frequency table and then a histogram: 4, 8, 6, 7, 5, 4, 10, 6, 7, 14, 12, 8, 10, 15, 12 12
Measures of Central Tendency: Mean: Median: Mode: Rico scored 74, 73, 80, 75, 67 and 55 on six history tests. Find the mean, median and mode. Which value best describes Rico's scores? 13
Try: Josh scored 75, 75, 81, 84 and 85 on five tests. Find the mean, median and mode. Which value best describes the score Josh received most often? Which value best describes Josh's scores? 14
Box-and-Whisker Plot: Quartiles: Interquartile Range (IQR): The numbers of runs scored by a softball team at 19 games are given. Use the data to make a box-and-whisker plot: 3, 8, 10, 12, 4, 9, 13, 20, 15, 10, 5, 11, 5, 10, 6, 7, 6, 11 15
Try: Use the data to make a box-and-whisker plot: 13, 14, 18, 13, 12, 17, 15, 12, 13, 19, 11, 14, 14, 18, 22, 23 16
Misleading Graphs: Explain why this graph is misleading: 17
Try: Explain why this graph is misleading: 18
Exit Slip: (on a half-sheet of scratch paper) A) The number of people at a caterer's last 12 parties are given below. 16, 18, 17, 19, 15, 25, 18, 17, 18, 16, 17, 19 i)Use the data to make a frequency table with intervals. ii) Use your frequency table to make a histogram B) The daily high temperatures on 14 consecutive days in one city were: 59, 49, 48, 46, 47, 51, 49, 43, 35, 52, 51, 51, 51, and 38 i)Find the mean, median and mode of the temperature ii)Which value describes the average high temperature for the 14 days? iii) Which value best describes the high temperature? Explain. C) Use the data in B to make a box-and-whisker plot. 19