Warm-UP Compound Probability: INDEPENDENT EVENTS Name:________________________________________________________________________________Date:_____/_____/__________ Warm-UP Compound Probability: INDEPENDENT EVENTS The table to the right shows the types of dessert and drink selections at a party. Mark will randomly select one type of dessert and one drink from these choices. What is the probability that he will select cake and punch? ______ x ______ = ______ Type of Dessert Drink Cake Punch Fruit Kabob Water You have a bag of 15 marbles. Five are red and 10 are purple. What is the probability of drawing a red marble, putting it back in the bag (replacing it), and then drawing a purple marble? Compound Probability: DEPENDENT EVENTS You have a bag of 15 marbles. Five are red and 10 are purple. What is the probability of drawing a red marble, putting it aside (no replacement), and then drawing a purple marble? ______ x ______ = ______ You have a bag of 15 marbles. Five are red and 10 are purple. What is the probability of drawing a red marble, putting it aside (no replacement), and then drawing ANOTHER red marble? If there are 13 Diamonds in a deck of 52 shuffled cards, what is the probability of drawing a Diamond, keeping it (no replacement), and then drawing ANOTHER Diamond?

analyzing graphs and histograms Today’s Lesson: What: analyzing graphs and histograms Why: To review and analyze the circle graph, line plot, stem-and-leaf plot, and frequency table; and to create and analyze histograms (emphasis on histograms).

Vocabulary: Circle Graph-- used to show parts out of a larger ___________________ . The entire circle represents 100%. Line Plot– used to show _______________________ of data along a number line. Stem-and-Leaf Plot– used to organize data by ______________________________. The stem represents the greatest place value digits, and the leaves represent the ____________________ place value digits. Frequency Table– used to organize intervals of numerical data according to how often each interval ________________________ (frequency). Histogram-- uses bars to represent equal ____________________ of numerical data. Each bar represents an interval. Bars in a histogram MUST _________________ ! whole frequency place value smallest occurs intervals TOUCH

Examples: CIRCLE GRAPH: ANALYZE THE GRAPH: What category represents the smallest part of the Milton’s family budget? What category represents the largest part of the Milton’s family budget? Using this graph, is it possible to know the specific amount of money spent on food each month? Savings (6%) Food (33%) No

STEM-AND-LEAF PLOT: REMEMBER! For a group of numbers, the MEAN means AVERAGE; the MEDIAN means MIDDLE; and the MODE means MOST FREQUENT!!! ANALYZE THE GRAPH: How many total temperatures were recorded in this plot? How many temperatures were between 70-79 degrees? What is the mode of the data? What is the range of the data? Is it possible to calculate the mean of the data? 9 3 63 degrees 38 degrees yes

3. LINE-PLOT: ANALYZE THE GRAPH: How many students are represented in this line plot? What is the mode of the data? What is the range of the quiz scores? Is it possible to calculate the mean of the data? Is there an outlier in the data? If so, what? 27 students 7 7 yes Yes. The outlier is “3.”

We often use a frequency table of data in order to create a histogram. histograms: Again, a histogram is a type of bar graph– except that the bars show equal ______________ of numerical data. The height of each bar represents the _____________________, while the width of each bar represents how big each interval is. We often use a frequency table of data in order to create a histogram. intervals frequency

Create a histogram from a frequency table: The below frequency table is using intervals of _______________________. Fill-in the frequency column and create the histogram. REMEMBER, the bars must ______________________________!! five TOUCH Height Of trees (ft.) Tally Frequency 60-64 65-69 70-74 75-79 80-84 85-89 3 3 8 10 5 2

Fill-in a frequency table from a histogram: The below histogram is using intervals of ___________________ . Use the height of the bars to fill-in the missing information in the frequency table. ten score Tally Frequency 20-29 30-39 40-49 50-59 60-69 70-79 80-89 90-99 (plus 100%) 1 2 1 2 6 9 13 5

Create a histogram from our class data!! Let’s survey the students in our class to see how many pets we own! We will record our data in the below frequency table. Then, we will create a histogram from the data. # of Pets Tally Frequency 0-2 3-5 6-8 9-11 12 and above

ANALYZE THE GRAPH: What are the intervals being used in this graph? How many students scored below an 80%? How many students scored an 80% or above? What conclusion(s) can be drawn about the overall performance of the class on this particular quiz/test? intervals of 10 11 19 Overall, the class performed well. The majority scored a B or higher, while only 3 scored below a C.

homework IXL: AA.8 AA.9

Math-7 NOTES Examples: Vocabulary: DATE: ______/_______/_______ What: analyzing graphs and histograms Why: To review and analyze the circle graph, line plot, stem-and-leaf plot, and frequency table; and to create and analyze histograms (emphasis on histograms). NAME:_________________________________________________________________________________ Vocabulary: Circle Graph-- used to show parts out of a larger ___________________ . The entire circle represents 100%. Line Plot– used to show _______________________ of data along a number line. Stem-and-Leaf Plot– used to organize data by ______________________________. The stem represents the greatest place value digits, and the leaves represent the ____________________ place value digits. Frequency Table– used to organize intervals of numerical data according to how often each interval ________________________ (frequency). Histogram-- uses bars to represent equal ____________________ of numerical data. Each bar represents an interval. Bars in a histogram MUST _________________ ! Examples: 1. CIRCLE GRAPH: ANALYZE THE GRAPH: What category represents the smallest part of the Milton’s family budget? What category represents the largest part of the Milton’s family budget? Using this graph, is it possible to know the specific amount of money spent on food each month?

REMEMBER! For a group of numbers, the MEAN means AVERAGE; the MEDIAN means MIDDLE; and the MODE means MOST FREQUENT!!! 2. STEM-AND-LEAF PLOT: ANALYZE THE GRAPH: How many total temperatures were recorded in this plot? How many temperatures were between 70-79 degrees? What is the mode of the data? What is the range of the data? Is it possible to calculate the mean of the data? 3. LINE-PLOT: ANALYZE THE GRAPH: How many students are represented in this line plot? What is the mode of the data? What is the range of the quiz scores? Is it possible to calculate the mean of the data? Is there an outlier in the data? If so, what? histograms: Again, a histogram is a type of bar graph– except that the bars show equal ______________ of numerical data. The height of each bar represents the _____________________, while the width of each bar represents how big each interval is. We often use a frequency table of data in order to create a histogram.

Create a histogram from a frequency table: The below frequency table is using intervals of _______________________. Fill-in the frequency column and create the histogram. REMEMBER, the bars must ______________________________!! Height Of trees (ft.) Tally Frequency 60-64 65-69 70-74 75-79 80-84 85-89 Fill-in a frequency table from a histogram: The below histogram is using intervals of ___________________ . Use the height of the bars to fill-in the missing information in the frequency table. score Tally Frequency 20-29 30-39 40-49 50-59 60-69 70-79 80-89 90-99 (plus 100%)

IXL: AA.8 and AA.9 Create a histogram from our class data!! # of Pets Let’s survey the students in our class to see how many pets we own! We will record our data in the below frequency table. Then, we will create a histogram from the data. # of Pets Tally Frequency 0-2 3-5 6-8 9-11 12 and above ANALYZE THE GRAPH: What are the intervals being used in this graph? How many students scored below an 80%? How many students scored an 80% or above? What conclusion(s) can be drawn about the overall performance of the class on this particular quiz/test? IXL: AA.8 and AA.9

“histograms” Math-7 EXTRA PRACTICE NAME: _______________________________________________________________________________ DATE: ______/_______/_______ Math-7 EXTRA PRACTICE “histograms”

Remember, a line graph shows change over time.

MUSICAL MATH Compound Probability: INDEPENDENT EVENTS NAME: _______________________________________________________________________________ DATE: ______/_______/_______ MUSICAL MATH Compound Probability: INDEPENDENT EVENTS PROBLEM/WORK ANSWER CHECK The table to the right shows the types of dessert and drink selections at a party. Joe will randomly select one type of dessert and one drink from these choices. What is the probability that he will select a cupcake and milk? Type of Dessert Drink Brownie Milk Cupcake Juice Cookie If there is one King of Diamonds in a deck of 52 shuffled cards, what is the probability of drawing the King of Diamonds, putting it back in the deck (replacing it), shuffling the deck, and then drawing the same card again? ______ x ______ = ______ You have a bag of 10 marbles. Three are green and 7 are black. What is the probability of drawing a black marble, putting it back in the bag, and then drawing a green marble? Compound Probability: DEPENDENT EVENTS PROBLEM/WORK ANSWER CHECK You have a bag of 10 marbles. Three are green and 7 are black. What is the probability of drawing a black marble, putting it aside (no replacement), and then drawing a green marble? ______ x ______ = ______ You have a bag of 10 marbles. Three are green and 7 are black. What is the probability of drawing a black marble, putting it aside, and then drawing ANOTHER black marble? If there are 13 Hearts in a deck of 52 shuffled cards, what is the probability of drawing a Heart, keeping it, and then drawing ANOTHER Heart?

Experimental vs. Theoretical Probability MORE MUSICAL MATH! Experimental vs. Theoretical Probability PROBLEM/WORK ANSWER CHECK There are 4 red skittles, 2 yellow skittles, 6 green skittles, and 8 orange skittles in a bag. What is the probability of randomly selecting a red or yellow skittle – P(red or yellow) ? Is problem #1 (above) an example of experimental or theoretical probability? Marissa has attempted 55 free throws. Of those attempted, 15 have gone in the basket. What is the probability that Marissa’s next free throw attempt will go in the basket? Is problem #3 an example of experimental or theoretical probability? If a standard number cube is rolled 25 times, what is the expected number of times a “2” or “3” will land face up (round answer to the nearest whole number)? ______ = ______ The spinner shown was spun 20 times. Out of 20 spins, it landed on the number “3” 4 times. Compare the experimental probability with thetheoretical probability. Experimental probability: ________ Theoretical probability: ________ COMPARE THE RESULTS HERE: WRITE YOUR ANSWERS IN THE SPACE TO THE LEFT. NOT HERE.