Name:    SOL A.9 STANDARD DEVIATION MINI QUIZ

Multiple Choice
Identify the choice that best completes the statement or answers the question.

1.

Two athletes run several miles each day to train. A random sample of their daily distances is taken. Use a calculator to find the mean and standard deviation for each athlete. Use your results to make a conclusion about the data. Round your answers to the nearest hundredth, if necessary.

 Distances (miles) Athlete A 3, 6, 5, 8, 4, 8, 6, 8, 9, 5, 5, 6, 7, 7, 3, 5, 5, 6, 7, 10, 3, 9 Athlete B 8, 9, 8, 8, 8, 4, 4, 4, 5, 5, 6, 15, 1, 3, 8, 4, 4, 8, 6, 10, 10, 10
 a. Athlete AAthlete BThe mean for Athlete A is slightly higher than Athlete B, but the standard deviation for Athlete A is much higher than Athlete B; therefore, Athlete A has more variability. c. Athlete AAthlete BThe mean for Athlete B is slightly higher than Athlete A, but the standard deviation for Athlete B is much higher than Athlete A; therefore, Athlete B has more variability. b. Athlete AAthlete BThe mean for Athlete A is slightly higher than Athlete B, but the standard deviation for Athlete A is much higher than Athlete B; therefore, Athlete A has more variability. d. Athlete AAthlete BThe mean for Athlete B is slightly higher than Athlete A, but the standard deviation for Athlete B is much higher than Athlete A; therefore, Athlete B has more variability.

2.

A quality control supervisor at a shrimp processing plant is testing the plant's shrimp grading machines for accuracy. The machines are labeled A, B, and C. The industry standard is that jumbo shrimp bags should contain 15 to 20 shrimp per pound. The supervisor randomly chose 10 one-pound bags of jumbo shrimp from each of the machines, and recorded the shrimp counts in the table below.

Based on these samples, which of the following statements is true?
 a. Grader A is both the most consistent and the most accurate. b. Grader A is the most consistent, but Grader B is the most accurate. c. Grader A is the most consistent, but Grader C is the most accurate. d. Graders A and B are equally consistent and more accurate than Grader C.

Essay

1.

The heights of ten students were measured in inches. The heights of the girls are in set A and the heights of the boys are in set B. Compare the spread of the data for the two sets using the range and the mean absolute deviation.
A: 62, 63, 64, 65, 68
B: 62, 64, 64, 65, 70