Data Analysis Test Study Guide Name: __________________________ Date: __________ Vocabulary Range Mean Median Mode 1st quartile 3rd quartile Central Tendency Questions and Data Changes Example: 29, 58, 33, 45, 88, 33, 45 If you add the number 75 to the data,which measure(s) of central tendency change? Range: 88 – 29 = 59 stays the same, Median: 45 stays the same, Modes: 33 and 45 stay the same, Mean 331 ÷ 7 = 47.2 new mean 406 ÷ 8 = 50.75 Ages at a Birthday party: 88 64 1) Find: range 22 13 36 44 83 67 mean median 2 4 44 11 mode 2) If you add a person whose age is 18, which measure(s) of central tendency will be affected and how will it/they be affected? 3) The average Gina has with 4 tests is an 83. What score would she need to get on the next test to get an 85 average? Create and Interpret a Box-and-Whisker Plot If these are test scores for a class of 25 students, and 70 is passing, how many students passed? 0.75 • 25 = 19 students Data for children’s weights: 53 40 36 59 30 47 59 30 42 46 61 4) 5) What number are 25% of the weights above? 6) Between which two numbers are the top 75% of weights? 59 Create and Interpret a Stem and Leaf Plot If this is a plot of the number of students in dance classes, what is the median number of students? The median is 97 + 94 = 191 ÷ 2 = 95 What is the range? 111 – 81 = 30 Using the data of children’s weights create a stem and leaf plot 7) In what group do most weights fall? _______________ 8) What is the mode of weights? 9) What is the range of weights? Interpret a Circle Graph If the Adams School has 500 students, how many of them like rap music? 0.35 • 500 = 175 students like rap How many more students like rap than country? 0.12 • 500 = 60 so 175 – 60 = 115 more like rap 10) If the school has 800 students, how many would prefer rap and alternative music? 11) How many more students would prefer rap than country and classical together? Create and Interpret a Histogram – label and complete the histogram. Teacher Ages Tally Frequency 25 – 30 30 – 35 35 - 40 12) How many people are in their 30’s? 13) How many teachers are there in total? Interpret a Scatter Plot for various trends. According to the scatter plot what is the correlation, if any between engine size and fuel economy? Explain. There is a negative correlation, as the engine size increases, the fuel economy decreases. What is the approximate fuel economy for a 3L engine? About 25 miles per gallon 14) What kind of correlation is there between hours of studying and test scores? Explain. 15) If a student studied for 15 hours, what approximate test score could they expect to get? Students must also study the types of graphs and be able to explain which type of graph would best represent a particular set of data.