College Math Prep B - Unit 5 Exam

There are 14 waiters working at a restaurant. One night, the mean tip the waiters received was $115.90. How much total in tips did the waiters collect that night? Enter your answer as a dollar amount, like this: $42.53

$1622.60

To the nearest hundredth, what is the sample standard deviation of this set of numbers? 6, 4, 5, 5

0.82

A biologist measures the radii of 8 cells in micrometers. 1.74, 0.24, 1.56, 2.79, 0.89, 1.16, 0.20, 1.84 What is the third quartile of cell radii in the sample?

1.79

A researcher is studying a group of American eagles with the following weights: 7.5 lb., 10.2 lb., 9.7 lb., 11.6lb., 10.0 lb., 9.8lb., 8.5 lb., 12.1 lb., 9.0 lb., 7.9 lb., 8.8 lb., 11.2 lb. Which weight is at the 90th percentile?

11.2 lb. - incorrect

What is the median of the data set? 15.2, 14.3, 14.9, 14.3, 14.0, 13.9, 13.8, 13.5, 13.8, 14.1, 13.3

14.0

The data represent the number of miles traveled by 10 delivery drivers in a community for one day. 218, 223, 211, 299, 231, 245, 261, 278, 212, 233 What is the first quartile of miles driven?

218

A traffic radar records the speed of cars driving through an intersection. It records these statistics: Mean=36.2 mph Median=28.5 mph Mode=30.0 mph What is the most common speed of a car driving through the intersection?

30.0 mph

A group of children played a balloon dart game at the county fair. The children took turns at the game, and the first 9 players scored 230, 540, 420, 430, 540, 560, 275, 50, 250 Joey is the 10th player, and his score is recorded with the first 9 scores after his turn. If Joey wants his score to be higher than the 70th percentile of all 10 scores, at least how many points does Joey need to score? Enter your answer as a number, like this: 42

431 - incorrect

To be eligible for the swim team, the mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s). The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps. What is the maximum time (in seconds) that she can take on her last lap and still make the team? Enter your answer as a number, like this: 42

52

In a week, an airline operates a flight from San Francisco to New York once a day. The total travel times for this week are: Sunday: 343 min. Monday: 314 min. Tuesday: 401 min. Wednesday: 341 min. Thursday: 359 min. Friday: 407 min. Saturday: 378 min. What was the range of flight times for the route that week?

93 min.

In a ski jumping competition, the athletes each perform 4 jumps. The distance, in feet, for each jump is shown. Which athlete had the largest range in distance jumped?

Adrian

At a car racing event, the total times for 12 cars to complete the racecourse were Which cars were faster than at least 75% of the other cars? Select all that apply.

Car A Car F Car K

A pharmaceutical company has different production lines for the pills it produces. A production line creates and processes pills, and the weights of individual pills are recorded. The mean and standard deviation weight of the pills produced by each line are provided. Which line produces products whose weights are closest to their mean?

Line O

A hardware manufacturer tests 5 screws. The screws weighed 15.07 g, 15.47 g, 15.93 g, 15.86 g, 15.07 g. What is the mean, median, and mode of the tested screws' weights?

Mean: 15.48 g Mode: 15.07 g Median: 15.47 g

How would removing outliers affect the standard deviation of a data set?

Removing outliers less than the mean or outliers greater than the mean will decrease the standard deviation.

A farmer measured the mass (in grams) of a sample of potatoes harvested today. 297, 239, 195, 183, 276, 270, 178, 213, 182, 271, 262, 184, 201, 259, 253, 266, 256, 188, 198, 273 What are the values of T, W, X, Y, and Z?

T = 178 W = 191.5 X = 246 Y = 268 Z = 297

A scientist collects these measurements: 0.90, 0.85, 0.64, 0.94, 0.99, −0.02, 0.56, 0.15, 0.73, 0.72, 0.89, 1.72, 0.52 Which statement is correct?

The data value 1.72 is an outlier because it is greater than 1.5 X IQR above the third quartile.

Consider these data: 89, 95, 74, 87, 87, 85, 94, 84, 88, 76, 76, 100, 90, 81, 78 Which statement is correct?

The data value is an outlier because the third quartile is 90 and the IQR is 12. - incorrect The data value 100 is not an outlier because the third quartile is 90 and the IQR is 12. - should be this one

While analyzing a data set, a scientist notices one data value that is 2 IQRs below the first quartile. She decides to remove this value from further analysis. What might happen to the mean, median, and mode of the data set after the value's removal? Select all that apply.

The median may decrease. - incorrect The mode will stay the same. - correct The mean will increase. - correct The median may stay the same. - correct

Consider these data: 5.52, 5.96, 5.87, 6.04, 6.01, 5.79, 5.84, 5.59, 5.99, 5.66, 5.81, 5.46, 5.92, 5.80, 5.95 Which box plot best represents these data?

https://assets.learnosity.com/organisations/625/0d7033f9-bebb-4947-ab6c-b97f0cd16423.png