IA2.DS.A.1: Evaluate and refine statistical study designs and critically analyze data-based claims to improve the quality and validity of inferences. a. Assess the limitations of a sample or study design in terms of bias, randomness, and representativeness. b. Propose modifications to sampling methods or data collection strategies to enhance the validity and generalizability of conclusions. c. Identify potential sources of bias or misuse in data collection, representation, or modeling. d. Recognize when correlation is misused to imply causation.

Evaluate and refine statistical study designs and critically analyze data-based claims to improve the quality and validity of inferences. a. Assess the limitations of a sample or study design in terms of bias, randomness, and representativeness. b. Propose modifications to sampling methods or data collection strategies to enhance the validity and generalizability of conclusions. c. Identify potential sources of bias or misuse in data collection, representation, or modeling. d. Recognize when correlation is misused to imply causation.

Example Problems

Tom took 4 exams. His mean was

91

and his standard deviation was

0

. What scores did Tom receive on his exams?

a. Write two sets of 5 different numbers that have the same mean but different standard deviations.

b. Write two sets of 5 different numbers that have the same standard deviations but different means.

Jim has taken 4 exams in his Statistics class.

Exam	Score
1	92
2	84
3	96
4	100

Calculate the standard deviation of Jim's scores and explain how this value represents the variability in his test scores.

1-on-1 AI tutoring aligned to IA2.DS.A.1. Instant help for students, real-time insights for teachers.

Used in classrooms by 100,000+ students at Baltimore County, Plano ISD, Deer Valley USD, KIPP, and districts nationwide.

Free for teachers, forever →