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Example 1-3b Objective Make and interpret frequency tables

Example 1-3b Vocabulary Statistics Collecting, organizing, and interpreting data

Example 1-3b Vocabulary Data Pieces of information

Example 1-3b Vocabulary Frequency Table Shows the number of pieces of data that fall within given intervals

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

Example 1-3b Vocabulary Interval Separates the scale into equal parts

Example 1-3b Vocabulary Tally mark Counters used to record items in a group

Lesson 1 Contents Example 1Make a Frequency Table Example 2Make a Frequency Table Example 3Interpret a Frequency Table

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 /3 You need a ruler!

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

Example 1-1b 1/3 Surprise Quiz Scores Frequency TallyScores Surprise Quiz Scores 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”

Example 1-1b 1/3 Surprise Quiz Scores Frequency TallyScores Surprise Quiz Scores Choose an appropriate scale and interval for the data Determine the smallest number Determine the largest number

Example 1-1b 1/3 Surprise Quiz Scores Frequency TallyScores Surprise Quiz Scores The interval must be the same on each row Since the smallest number is 52 use for the first interval The interval is 10 so add 10 to each number to make a new interval

Example 1-1b 1/3 Surprise Quiz Scores Frequency TallyScores Surprise Quiz Scores Make a tally mark for each number is in the group of I 90 is in the group of I 53 is in the group of I 70 is in the group of I

Example 1-1b 1/3 Surprise Quiz Scores Frequency TallyScores Surprise Quiz Scores is in the group of I 100 is in the group of I 80 is in the group of I 75 is in the group of I I I I I

Example 1-1b 1/3 Surprise Quiz Scores Frequency TallyScores Surprise Quiz Scores is in the group of I 65 is in the group of I 75 is in the group of I 90 is in the group of I I I I I I I I I

Example 1-1b 1/3 Surprise Quiz Scores Frequency TallyScores Surprise Quiz Scores is in the group of I 80 is in the group of I 85 is in the group of I 95 is in the group of I I I I I I I I I I I I I

Example 1-1b 1/3 Surprise Quiz Scores Frequency TallyScores Surprise Quiz Scores is in the group of I 85 is in the group of I I 75 is in the group of 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

Example 1-1b 1/3 Surprise Quiz Scores Frequency TallyScores Surprise Quiz Scores 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

Example 1-1c Answer: FrequencyTallyScores Surprise Quiz Scores IIII IIII I II /3

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) /3

Example 1-1e Answer: 1 I IIII IIII IIII IIII I50-59 FrequencyTallySpeed Car Speeds (mph) 1/3

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

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

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

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

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

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

Example 1-2b Answer: 4 IIII 6 IIII I 6 8 IIII III West East South North FrequencyTallyDirection Customer Directions 2/3

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

Example 1-2d Answer: 5 IIIIMaybe 7 IIII IINo 8 IIII IIIYes FrequencyTallyResponse Opinion 2/3

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:

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 IIIpurple 6 IIII Igreen 13 IIII IIII IIIblue 4 IIIIyellow 8 IIII IIIred FrequencyTallyColor Favorite Color * 3/3

End of Lesson 1 Assignment Lesson 2:1Frequency Tables All