# Interpreting Categorical and Quantitative Data

## CCSS Math Questions

This quiz illustrates the range of difficulty expected by the following Common Core State (CCS) standards:

 Question Common Core Standard # 1 S.ID.2 2 S.ID.4 3 S.ID.4 4 S.ID.4 5 S.ID.5 6 S.ID.6 7 S.ID.7 8 S.ID.8 9 S.ID.9
indicates a modeling standard.
+ indicates a college and career ready standard.

All questions of this quiz illustrate the difficulty of the high school S.ID standards required for all students, including the college and career ready students.

Question 1: It takes different times for different workers to perform the same specific task, as it is shown in the distribution below. The boxplot displays time in minutes. Which of the following statements must be true?

Questions 2 and 3: Suppose that the weights of the basketball players of a tournament are approximately normally distributed with a mean of 190lb and a standard deviation of 15lb.

Which of the following is a good approximation of the probability that a randomly selected player weighs more than 220lb?

If a player weighs 175lb, what is the player's percentile weight (the proportion of players with weights below 175lb)?

Question 4: 99.7% of the population of a normal distribution is within m standard deviations from the mean. What is the value of m?

Question 5: Six hundred travelers have purchased airline tickets through the same travel agency. The following table gives the two-way classification of their destination choices.

 Male Female Totals Europe 189 195 384 Asia 49 62 111 South America 55 50 105 Totals 293 307 600

The percentage of travelers who bought tickets to Asia is .

Questions 6,7 and 8: A study investigates the relationship between the number of large stores in a small town versus the average speed of vehicles in the town. The table in the figure below shows this relationship for a number of towns.

 Town Stores Speed(mph) 1 1 40 2 5 39.5 3 12 39 4 24 38 5 53 34 6 66 33 7 72 33 8 90 32

The relationship between the number of large stores in a small town versus the average speed of vehicles in the town appears to be:

The equation of the least-squares line for these data is:

Based on this line, the estimated decrease in average vehicle speed of a town that adds 10 large stores is miles per hour.

The correlation coefficient of the relationship is .

Question 9: A new nasal spray based on beclomethasone is tested and researchers found that people that used the spray showed increased intraocular pressure. Does this mean that all nasal sprays based on beclomethasone increase the intraocular pressure of patients?

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