1. The table below shows the number of students from different classes of two schools who participated in a group dance:School A242123222221202322School B53252012343Part A: How can you use box plots to compare the median and interquartile range of the data? Write the minimum value, first quartile, median, third quartile, and interquartile range for the two sets of data. (5 points)Part B: Are the box plots symmetrical in shape? Justify your answer. (5 points)2. The table below shows the number of hours high school students of different cities of two states spend on indoor sports each week:State A79542521668State B14121013151411516Part A: Why is the histogram for State A different in shape, center, and spread than the histogram or State B? (5 points)Part B: In which state did the students spend more average time on indoor sports? Justify your answer. (5 points)3. A restaurant did a survey among 100 customers to find their food preferences. The customers were asked about their preferences for pasta or rice. Out of the total 30 people who liked pasta, 10 liked rice also. There were 40 people who liked rice.Part A: Summarize the data by writing the values that the alphabets A to I in the table below represent. (5 points)Like pastaDo not like pastaTotalLike riceABCDo not like riceDEFTotalGHIPart B: What percentage of the total people did not like either pasta or rice? (3 points)Part C: Do the people surveyed have more dislike for rice than pasta? Justify your answer. (2 points)4. A student is assessing the correlation between the average number of hours of playing video games in a week and average score on a math test for the students of a class. The table below shows the data:Number of hours of playing video games(x)00.511.522.533.544.5Score on math test(y)90888684828078767472Part A: Is there any correlation between the average number of hours of playing video games in a week and average score on the math test for the students of a class? Justify your answer. (4 points)Part B: Write a function which best fits the data. (3 points)Part C: What does the slope and y-intercept of the plot indicate? (3 points)5. George has found a relationship between the sale of sweaters in his store and the air temperature, in degrees Celsius. The table below shows the data collected by George:Temperature (in degrees Celsius)(x)0246810121416Number of sweaters sold(y)250242234226218210202194186Part A: What would most likely be the number of sweaters sold if the temperature is 27 degrees Celsius? (3 points)Part B: Predict a possible correlation coefficient for the data in the table and explain why you think your prediction is a good value for the data. (4 points)Part C: George says that if a discount is given on the sweaters, the sale of sweaters would increase. Is this an example of correlation or causation? Justify your answer. (3 points)

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