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7 Chapter 10 Tables Graphs Probability….
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In this Chapter you will… (Goals)
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Ch 10 Section 1
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Look at the graph below and answer the following questions… (BASIC) WARM-UP 1.Which ingredient contains the most fat? Mayonnaise 2. How many more grams of fat are in ham than in turkey? 6-3=3 3. How many total fat grams are in the sandwich? 1+6+3+9+11=30 4. What percent of the total fat grams in this sandwich are from turkey? 3/30 = 1/10 = 10%
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Interpreting a double bar graph A double bar graph can be used to compare two data sets 1. In which year did State college have the greatest average attendance for basketball? 2003 2.On average, how many more people attended a football game than a basketball game in the year 2001? 20,000-13,000= 7,000
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A line graph- displays data using line segments. Line graphs are a good way to display data that changes over a period of time. 1.At what time was the temperature the warmest? 4pm 2. During which 4-hour time period did the temperature increase the most? From 8am to noon
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A double line graph can be used to compare how two related data sets change over time. A double line graph has a key to distinguish between the two sets of data. 1.In which month(s) did airline B charge more than airline A? April and September 2.During which month did the airlines charge the same airfare? May (where the data points overlap)
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A circle graph shows parts of a whole. The entire circle represents 100% of the data and each sector represents a percent of the total. Circle graphs are good for comparing each category of data to the whole set.
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Ch 10 Section 2
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A Stem and Leaf Plot arranges data by dividing each data value into two parts. This allows you to see each data value.
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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 Stem Leaves 07 1 9 223 6 79 312456
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The frequency of a data value is the number of times it occurs. A frequency table shows the frequency of each data value. If the data is divided into intervals the table shows the frequency of the intervals.
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A Histogram- is a bar graph used to display the frequency of data divided into equal intervals. The bars must be of equal width and should touch, but not overlap. Use the data below to create a Histogram.
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Cumulative Frequency: Shows the frequency of ALL data values less than or equal to a given value.
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Chapter 10 Section 2: Teacher Station: Guided Practice page 698 Independent Station: Practice and Problem Solving page 699
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Ch 10 Section 3
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Vocab Mean: Is the average of the data values, the sum of the values in the set divided by the number of values in a set. Median in the middle value when the numbers are in numerical order, or the mean of the two middle numbers if there are an even number of values. Mode: is the value or values that occur most often. A data set may have one mode or more than one mode. If no value occurs more than another then the value set has no mode. Range: of a set of data is the difference between the greatest and least values in the set. The range is one measure of the spread of the data set.
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Outlier: A value that is VERY different than ALL other values in a value set. You have conducted an experiment in Chemistry and you are measuring the final weight of your Sulfur product. If you have no error, your weight should be about the same for all five trials that you have conducted due to the law of conservation of mass; matter can neither be created nor destroyed. Trial #1final weight= 4.1grams Sulfur Trial #2 final weight= 4.25grams Sulfur Trial #3 final weight = 4.01g Trial #4 final weight = 4.20g Trial #5 final weight = 2 g ** Outlier ** You would throw out this result bc it would skew your results
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Ch 10 Section 4
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Graphs can be used to influence what people believe. The way a data set is displayed can influence how the data is interpreted. Who might want to use the graph above? Why?
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Statistics can be misleading because of the way the data is collected or because of the way the results are reported. A sufficiently large random sample is a good way to collect unbiased data. In a random sample, all members of the group being surveyed have an equal chance of being selected.
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Ch 10 Section 5
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Important Vocabulary Experiment: An activity involving chance Trial: Each observation of the experiment is a trial Outcome: Each possible result Sample Space: In an experiment is a set of all possible outcomes
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Ch 10 Section 6
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Theoretical Probability
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An experiment consists of rolling a number cube. Find the theoretical probability of rolling a number GREATER than 3. Number of ways the event can occur = Total number of equally likely outcomes 3 = 1 6 2
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The odds in favor of winning a free drink 1:24. What is the probability of winning a free drink? 1 =.04 24 4%
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Ch 10 Section 7
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Tell whether each set of events are independent or dependent. 1.A number cube lands showing an odd number. It is rolled a second time and lands showing a 6. 2. One student in your class is chosen for a project. Then another student in your class is chosen. Independent Dependent
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Chapter Review page 756
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