Vocabulary Flash Cards box-and-whisker plot Chapter 11 (p. 594) conditional relative frequency Chapter 11 (p. 612) five-number summary Chapter 11 (p. 594) joint frequency Chapter 11 (p. 610) Copyright © Big Ideas Learning, LLC All rights reserved. categorical data Chapter 11 (p. 618) data transformation Chapter 11 (p. 589) interquartile range Chapter 11 (p. 595) joint relative frequency Chapter 11 (p. 611) Big Ideas Math Algebra 1 Vocabulary Flash Cards Data that consists of labels or nonnumerical entries that can be separated into different categories; also known as qualitative data Data Source A graph that shows the variability of a data set along a number line using the least value, the greatest value, and the quartiles of the data What is your favorite subject? math a house In what state is the house located? Wisconsin A procedure that uses a mathematical operation to change a data set into a different data set 3, 5, 6, 9, 10, 21. greatest value Major in Medical Field Class transforms the data set into whisker The ratio of a joint relative frequency to the marginal relative frequency Adding 5 to each value in the data set 2, 0, 1, 4, 5, 16 third quartile box whisker least value a student Yes No Junior 0.18 0.55 0.33 0.32 0.48 0.67 Senior 0.15 0.45 0.33 0.35 0.52 0.67 Given that a student is not planning to major in a medical field, the conditional relative frequency that he or she is a junior is about 48%. A measure of variation for a data set, which is the difference of the third quartile and the first quartile The five numbers that make up a box-and-whisker plot (least value, first quartile, median, third quartile, and greatest value) least value The interquartile range of the data set is 42 18 24. first quartile median first quartile Qualitative Data 14, third quartile 16, 16, 17 , 18, first quartile 15, 18, 21, 28, 35, 42, 55 greatest value median 18, 21 third quartile See box-and-whisker plot. The ratio of a frequency that is not in the “total” row or the “total” column to the number of values or observations ≈ 0.18 — 680 124 ≈ 0.32 — 680 0.50 Senior 101 — 680 236 — 680 0.50 Total 0.33 ≈ 0.35 0.67 Studied Total Junior ≈ 0.15 219 Student 1 Grade Class Major in Medical Field Yes No Each entry in a two-way table Did Not Study Passed 21 2 Failed 1 6 joint frequency joint relative frequency Copyright © Big Ideas Learning, LLC All rights reserved. Big Ideas Math Algebra 1 Vocabulary Flash Cards marginal frequency Chapter 11 (p. 610) mean measure of variation Chapter 11 (p. 587) misleading graph Chapter 11 (p. 620) All rights reserved. Chapter 11 (p. 611) measure of center Chapter 11 (p. 586) Copyright © Big Ideas Learning, LLC marginal relative frequency Chapter 11 (p. 586) median Chapter 11 (p. 586) mode Chapter 11 (p. 586) Big Ideas Math Algebra 1 Vocabulary Flash Cards The sum of the joint relative frequencies in a row or a column Junior ≈ 0.18 — 680 124 ≈ 0.32 — 680 0.50 Senior 101 — 680 236 — 680 0.50 Total ≈ 0.15 0.33 219 ≈ 0.35 0.67 Age 12–13 14–15 16–17 Total Total Student Class Major in Medical Field Yes No The sums of the rows and columns in a two-way table Ride Bus 24 12 14 50 Does Not Ride Bus 16 13 21 50 Total 40 25 35 100 1 marginal relative frequency marginal frequency A measure that represents the center, or typical value, of a data set The sum of a numerical data set divided by the number of data values The mean, median, and mode are measures of center. The mean of the values 7, 4, 8, and 9 is The middle number of a numerical data set when the values are written in numerical order A measure that describes the spread, or distribution, of a data set The median of the data set 24, 25, 29, 33, 38 is 29. The range and standard deviation are measures of variation. 7 4 8 9 28 7. 4 4 A statistical graph that is not drawn appropriately –2 01 10 20 20 09 –2 –2 08 01 0 9 00 00 –2 20 07 20 1 18,500 18,000 17,500 17,000 16,500 16,000 15,500 8 The mode of the data set 3, 4, 4, 7, 7, 9, 12 are 4 and 7. Tuition, Room, and Board at All Colleges and Universities Average cost (dollars) The value or values that occur most often in a data set Academic year Copyright © Big Ideas Learning, LLC All rights reserved. Big Ideas Math Algebra 1 Vocabulary Flash Cards outlier Chapter 11 (p. 587) quantitative data Chapter 11 (p. 618) range of a data set Chapter 11 (p. 587) qualitative data Chapter 11 (p. 618) quartiles Chapter 11 (p. 594) standard deviation Chapter 11 (p. 588) two-way table Chapter 11 (p. 610) Copyright © Big Ideas Learning, LLC All rights reserved. Big Ideas Math Algebra 1 Vocabulary Flash Cards Data that consists of labels or nonnumerical entries that can be separated into different categories Data Source Qualitative Data a student What is your favorite subject? math a house In what state is the house located? Wisconsin Values of a box-and-whisker plot that divide a data set into four equal parts first quartile, Q1 third quartile, Q3 37, 39, 39, 41, 44, 45, 48 A data value that is much greater than or much less than the other values in a data set In the data set 2, 4, 4, 5, 6, 64, the data value 64 is an outlier. Data that consist of numbers that represent counts or measurements Data Source Quantitative Data a student What is your age? 15 a house How many bedrooms? 3 median, Q2 A measure of how much a typical value in a numerical data set differs from the mean The difference of the greatest value and the least value of a data set The standard deviation is given by The range of the data set 12, 16, 18, 22, 27, 35 is ( x1 x ) 2 ( x2 x ) 2 ( xn x ) 2 n 35 12 23. where n is the number of values in the data set. A frequency table that displays data collected from one source that belong to two different categories Gender Fundraiser Copyright © Big Ideas Learning, LLC All rights reserved. No Yes Female 22 51 Male 30 29 Big Ideas Math Algebra 1
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