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## Data Analysis & Probability

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**Data Analysis & Probability**Another CRCT review**#1**What is the mode of the set below? 3, 5, 9, 9, 7, 0, 2, 8, 4, 1 • 3 • 4 • 7 • 9**#1 answer**D) 9 Mode is the piece of data that appears the most. Since 9 appeared twice, it is the mode. What is the mode of the set below? 3, 5, 9, 9, 7, 0, 2, 8, 4, 1**#2**Which set below has only one mode? • 5, 17, 23, 17, 20, 23 • 19, 22, 46, 32, 23, 9, 15 • 101, 110, 11, 111, 1,011 • 154, 145, 514, 145, 545**#2 answer**D) 154, 145, 514, 145, 545 • 5, 17, 23, 17, 20, 23: mode = 17 & 23 • 19, 22, 46, 32, 23, 9, 15: mode = none • 101, 110, 11, 111, 1,011: mode = none • 154, 145, 514, 145, 545: mode = 145**#3**What is the median of the set below? 4.5, 4.0, 3.5, 5.5, 5.0 • 3.5 • 4.5 • 5.0 • 5.5**#3 answer**B) 4.5 Place the numbers in order from least to greatest. The median is the MIDDLE number. 3.5, 4, 4.5, 5, 5.5**#4**In a circle graph of this data, which percent represents the votes for Canary? • 16% • 24% • 20% • 28% Favorite Bird**#4 answer**In a circle graph of this data, which percent represents the votes for Canary? C) 20% Favorite Bird**#5**In a circle graph of this data, which bird has a part that is equal to the combined parts for Hummingbird and Owl? • Parakeet • Canary • Other • There is no sector Favorite Bird**#5 answer**In a circle graph of this data, which bird has a part that is equal to the combined parts for Hummingbird and Owl? C) Other Hummingbird had 8 votes and owl had 6 votes. 8 + 6 = 14. Other Had 14 votes. Favorite Bird**#6**Favorite Bird Which birds taken together received more than half the votes? • Hummingbird & Owl • Canary & Other • Hummingbird & Parakeet • Hummingbird, Owl, Parakeet**Which birds taken together**received more than half the votes? #6 answer Favorite Bird D) Hummingbird, Owl, Parakeet • Hummingbird & Owl 8 + 6 = 14 • Canary & Other 10 + 14 = 24 • Hummingbird & Parakeet 8 + 12 = 20 • Hummingbird, Owl, Parakeet 8 + 6 + 12 = 26 There was a total of 50 votes – half of the votes is 25.**#7**Which statement below is NOT true? • A histogram shows the interval of data in which the median occurs. • A histogram shows the interval with the greatest frequency. • You can compare the frequencies of different intervals of data on a histogram. • A histogram shows the interval of data in which the mean occurs.**#7 answer**D) A histogram shows the interval of data in which the mean occurs.**#8**Which graph could BEST represent how a plant grows in height each month? • bar graph • line graph • line plot • circle graph**#8 answer**Which graph could BEST represent how a plant grows in height each month? B) Line graph A line graph shows change over time.**#9**Two hundred people are surveyed about their favorite hot dog topping. Which two graphs could show the data and its popularity amongst those surveyed? • line plot & histogram • pictograph & line plot • line graph & histogram • circle graph & bar graph**#9 answer**D) circle graph & bar graph • line plot & histogram • pictograph & line plot • line graph & histogram • circle graph & bar graph Two hundred people are surveyed about their favorite hot dog topping. Which two graphs could show the data and its popularity amongst those surveyed?**#10**The results of a customer survey are shown in the table. Which graph would BEST represent the data? • circle graph • bar graph • line graph • pictograph Customer Satisfaction**#10 answer**• Circle Graph The data is given as percents (part to a whole). So, a circle graph would be the best graph. Which graph would BEST represent the data? Customer Satisfaction**#11**Clara needed to take a survey for a class project. She thought of a question she wanted answered. Then, she asked that question to a total of 80 parents who were attending 4 different Little League games. Which question below makes the MOST sense to ask given her sample? • Do you prefer hot dogs or hamburgers? • What position do you play? • Which sport do you like best: baseball, soccer, or hockey? • Which do you think the Little League should buy this year: new helmets or new catcher’s equipment?**#11 answer**D) Which do you think the Little League should buy this year: new helmets or new catcher’s equipment? Keep in mind, she is asking her question to parents attending a Little League game.**#12**A store owner wants to record the number of pairs of jeans sold each month at her store for an entire year. Which would be the BEST reason for the store owner to display these data in a line graph rather than a pictograph? • A line graph will show trends in jeans sales over the course of a year. • A line graph will show what percent of the year’s jeans sales occurred in each month. • A line graph will use pictures to represent the data. • A line graph will show sales grouped into intervals, such as 1 – 10 pairs sold and 11 – 20 pairs sold.**#12 answer**A) A line graph will show trends in jeans sales over the course of a year.**#13**Ashleigh will reach into a bag that contains 14 marbles: 2 green marbles, 7 gray marbles, and 5 blue marbles. If Ashleigh reaches into the bag and picks a marble without looking what is the probability that she will choose a green marble?**#13 answer**B) There were 2 green marbles in the bag. Write 2 in the numerator. There were a total of 14 marbles in the bag. Write 14 in the denominator. Simplify the fraction.**#14**Mrs. Dimattia surveyed her students to find out what they wanted to do during choice time. Seven students wanted to read, 7 students wanted time to write, 10 students wanted to play a trivia game, and 6 students wanted time to work on the computer. Which type of data display would be MOST appropriate for determining what fraction of the students wanted to read during choice time? • bar graph • circle graph • histogram • line plot**#14 answer**B) circle graph The question asks “which data display would be MOST appropriate for determining what fraction…” Since a fraction is part to whole – the best choice is a circle graph.**#15**There are 15 boys and 25 girls in the school band. All the band members’ names will be placed in a hat and the band director will select a name at random to win a prize. What is the probability that a girl’s name will be drawn?**#15 answer**D) There are 25 girls. Write 25 in the numerator. 25 + 15 = 40. Write 40 in the denominator. Simplify 25/40 There are 15 boys and 25 girls in the school band. What is the probability that a girl’s name will be drawn.