# Elementary PSA Item Specification Chart

Elementary Probability Statistics Algebra Item Specification Chart—6/29/05

Mathematics Content

S

T

A

Type I Items

Type II Items

Type III Items

Type IV Items

1. Probability

a. sample space (outcomes)

3

3

6

8. Determine equally likely outcomes (sample space) of a given experiment

b. determine likelihood of an outcome/event

5

2

7

3. Determine likelihood of an event

c. determine simple/compound probabilities (theoretical)

3

5

8

4. Find simple theoretical probability given a situation

18. Find compound theoretical probability of a given situation

d. determine simple/compound probabilities (empirical)

3

4

7

12. Find simple probabilities given empirical data

e. concept of randomness

0

3

3

19. Determine if a situation is random

f. independent and dependent events

2

1

3

g. fair games and expected value

0

2

2

1

1

2

i. conditional probability

2

0

2

j. describe and conduct experiments and simulations

0

1

1

k. compare empirical & theoretical probabilities

0

1

1

 Mathematics Content S T A Type I Items Type II Items Type III Items Type IV Items 2. Data Representation & Analysis a. represent data using appropriate graphs and plots 6 6 12 1. Description of a type of graph 16. Determine appropriate graphical representations b. collect data 6 5 11 c. formulate questions 6 2 8 d. measures of central tendency 5 6 11 2. Find the mean, median or mode of a set of data e. use measures of spread 3 4 7 f. analyze data/draw conclusions 4 4 8 6. Draw conclusions from graphical representations7 i. distributions of data (shape) 3 3 6 g. making predictions/inferences 5 3 8 11. Make predictions using graphs and proportional reasoning h. sampling 3 3 6 17. Determine if a given sampling technique generates a random sample j. make conjectures 3 2 5 k. compare data sets 2 1 3 l. understand correlation vs. causation 2 1 3 m. misuses of statistics 2 1 3 n. compare different representations of the same data 1 0 1
 Elementary Probability Statistics Algebra Item Specification Chart—4/19/05 (Continued) Mathematics Content S T A Type I Items Type II Items Type III Items Type IV Items 3. Algebraic Ideas a. patterns (generating/generalizing) 7 6 13 13. Generalize patterns using algebraic expressions b. function concepts and representation 6 6 12 9. Determine whether or not a relation is a function 14.Use graphical representations to describe relationships h. graph representations (reading/interpreting graphs) 4 5 9 c. variables/unknown numbers 7 5 12 10. Identify expression of a given situation d. expressions 4 3 7 e. equation representation & modeling 6 6 12 15. Use equations to solve problems 20. Create a model for an algebraic equation i. equation solving 4 5 9 f. plotting points – Cartesian plane 5 5 10 5. Find coordinates of a given point in a four-quadrant plane g. slope/intercept 1 3 4 k. direct variation 0 2 2 l. systems of equations 0 1 1 m. bivariate and univariate data 0 1 1 n. curve fitting 0 1 1