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Example 1-3b Objective Make and interpret frequency tables
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Example 1-3b Vocabulary Statistics Collecting, organizing, and interpreting data
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Example 1-3b Vocabulary Data Pieces of information
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Example 1-3b Vocabulary Frequency Table Shows the number of pieces of data that fall within given intervals
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Example 1-3b Vocabulary Scale The set of all possible values of a given measurement, including the least and greatest numbers in the set, separated by the intervals used
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Example 1-3b Vocabulary Interval Separates the scale into equal parts
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Example 1-3b Vocabulary Tally mark Counters used to record items in a group
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Lesson 1 Contents Example 1Make a Frequency Table Example 2Make a Frequency Table Example 3Interpret a Frequency Table
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Example 1-1a SCHOOL The grades scored on a surprise quiz are shown in the table. Make a frequency table of the data. Surprise Quiz Scores 9983925275 90100658085 53807585 7075909575 1/3 You need a ruler!
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Example 1-1b 1/3 Make a frequency table with at least 7 rows using the lines on your paper A frequency table needs 3 columns Leave the top row with no columns for the title
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Example 1-1b 1/3 Surprise Quiz Scores Frequency TallyScores Surprise Quiz Scores 9983925275 90100658085 53807585 7075909575 Add Title Add headings to chart The data in the first column which is “scores” The second column is labeled “tally” The third column is “frequency”
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Example 1-1b 1/3 Surprise Quiz Scores Frequency TallyScores Surprise Quiz Scores 9983925275 90100658085 53807585 7075909575 Choose an appropriate scale and interval for the data Determine the smallest number Determine the largest number
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Example 1-1b 1/3 Surprise Quiz Scores Frequency TallyScores Surprise Quiz Scores 9983925275 90100658085 53807585 7075909575 The interval must be the same on each row Since the smallest number is 52 use 51 - 60 for the first interval 51-60 The interval is 10 so add 10 to each number to make a new interval 61-70 71-80 81-90 91-100
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Example 1-1b 1/3 Surprise Quiz Scores Frequency TallyScores Surprise Quiz Scores 9983925275 90100658085 53807585 7075909575 Make a tally mark for each number 51-60 61-70 71-80 81-90 91-100 99 is in the group of 91-100 I 90 is in the group of 81-90 I 53 is in the group of 51-60 I 70 is in the group of 61-70 I
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Example 1-1b 1/3 Surprise Quiz Scores Frequency TallyScores Surprise Quiz Scores 9983925275 90100658085 53807585 7075909575 51-60 61-70 71-80 81-90 91-100 83 is in the group of 81-90 I 100 is in the group of 91-100 I 80 is in the group of 71-80 I 75 is in the group of 71-80 I I I I I
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Example 1-1b 1/3 Surprise Quiz Scores Frequency TallyScores Surprise Quiz Scores 9983925275 90100658085 53807585 7075909575 51-60 61-70 71-80 81-90 91-100 92 is in the group of 91-100 I 65 is in the group of 61-70 I 75 is in the group of 71-80 I 90 is in the group of 81-90 I I I I I I I I I
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Example 1-1b 1/3 Surprise Quiz Scores Frequency TallyScores Surprise Quiz Scores 9983925275 90100658085 53807585 7075909575 51-60 61-70 71-80 81-90 91-100 52 is in the group of 51-60 I 80 is in the group of 71-80 I 85 is in the group of 81-90 I 95 is in the group of 91-100 I I I I I I I I I I I I I
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Example 1-1b 1/3 Surprise Quiz Scores Frequency TallyScores Surprise Quiz Scores 9983925275 90100658085 53807585 7075909575 51-60 61-70 71-80 81-90 91-100 75 is in the group of 71-80 I 85 is in the group of 81-90 I I 75 is in the group of 71-80 I I I I I I I I I I I I I I On the 5 th tally put a diagonal across the other 4 tally marks I
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Example 1-1b 1/3 Surprise Quiz Scores Frequency TallyScores Surprise Quiz Scores 9983925275 90100658085 53807585 7075909575 51-60 61-70 71-80 81-90 91-100 Count the tally marks and put the number in the frequency column I I I 2 I I I I I I I I I I I I I I I 2 6 6 4
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Example 1-1c Answer: FrequencyTallyScores Surprise Quiz Scores 51-60 61-70 71-80 81-90 91-100IIII IIII I II 4 6 2 2 6 1/3
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Example 1-1d SPEED The speeds of cars on the highway are shown in the table below. Make a frequency table of the data. Car Speeds (mph) 55 64 72 67 75 69 81 72 71 66 65 74 73 72 68 71 65 69 76 66 1/3
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Example 1-1e Answer: 1 I 80-89 9 IIII IIII70-79 9 IIII IIII60-69 1 I50-59 FrequencyTallySpeed Car Speeds (mph) 1/3
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Example 1-2a BUSINESS Owners of Copies ‘R’ Us wanted to move their store to another location. They asked their customers in which general direction they lived from the store. Make a frequency table of the data that resulted from the survey. Customer Directions NSESNW ENWSNN WESENE SNNWSE 2/3 When there are letters there is no need for intervals
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Example 1-2a Customer Directions NSESNW ENWSNN WESENE SNNWSE 2/3 Determine how many different letters are used to know how many rows will be needed for the data These are directions NSEWNSEW
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Example 1-1b 1/3 Make a frequency table with at least 6 rows using the lines on your paper (4 for data, 1 for title, 1 for labels) A frequency table needs 3 columns Leave the top row with no columns for the title
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Example 1-2a Customer Directions NSESNW ENWSNN WESENE SNNWSE 2/3 Add Title Customer Directions Add headings to chart The data in the first column which is “directions” The second column is labeled “tally” TallyDirection The third column is labeled “frequency” Frequency
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Example 1-2a Customer Directions NSESNW ENWSNN WESENE SNNWSE 2/3 Since intervals are not needed place the directions in the first column Customer Directions TallyDirection Frequency North South East West Notice: The directions were spelled out - not abbreviated like in the chart
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Example 1-2a Customer Directions NSESNW ENWSNN WESENE SNNWSE 2/3 Customer Directions TallyDirection Frequency North South East West Make a tally mark for each letter I I I I I I I I I I I I I On the 5 th tally put a diagonal across the other 4 tally marks I I II I I I I Count the tally marks and put the number in the frequency column 8 6 6 4
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Example 1-2b Answer: 4 IIII 6 IIII I 6 8 IIII III West East South North FrequencyTallyDirection Customer Directions 2/3
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Example 1-2c MARKETING An inventor takes a survey to try to determine if the general public would be interested in purchasing his product. He asks people to respond yes, no, or maybe. Make a frequency table of the data that resulted from the survey. Opinion Y Y N M M N N Y Y N M M N Y Y N N Y Y M 2/3
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Example 1-2d Answer: 5 IIIIMaybe 7 IIII IINo 8 IIII IIIYes FrequencyTallyResponse Opinion 2/3
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15IIII IIII IIIIScience 11IIII IIII IMath 4IIIIHistory 9IIII English FrequencyTallySubject Favorite School Subject Example 1-3a SCHOOL The frequency table below shows sixth-grade students’ votes in one school for favorite subject. What do you think is the most common favorite subject? How did you reach your conclusion? According to the frequency, science had 15 votes which is more than any other subject - OF COURSE 3/3 Answer:
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Example 1-3b COLOR The frequency table below shows middle school students’ responses to a survey about their favorite color. What do you think is the most common favorite color? How did you reach your conclusion? Answer: Blue; it received the most votes with 13. 3 IIIpurple 6 IIII Igreen 13 IIII IIII IIIblue 4 IIIIyellow 8 IIII IIIred FrequencyTallyColor Favorite Color * 3/3
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End of Lesson 1 Assignment Lesson 2:1Frequency Tables8 - 15 All
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