Praxis Core Academic Skills for Educators: Reading (5713) and Mathematics (5733)
Data Interpretation and Representation, Statistics, and Probability: practice questions
Our Praxis Core bank has 60 questions on this topic. Here are 5 of them with answers; the full mock exam draws from every topic, like the real one.
Question 1
Each value in a data set is increased by 5. What happens to the range?
- It increases by 5
- It increases by 10
- It doubles
- It decreases by 5
- It stays the same
Show the answer
E. It stays the same — Adding a constant shifts every value equally, so the gap between greatest and least does not change.
Question 2
A card is drawn from 20 cards numbered 1 to 20. What is the probability the number is a multiple of 5?
- 1/4
- 1/20
- 1/10
- 1/5
- 4/5
Show the answer
D. 1/5 — Multiples of 5: 5, 10, 15, 20, so 4 of 20 = 1/5.
Question 3
Two fair coins are tossed. What is the probability of getting two heads?
- 1/2
- 1/3
- 1/4
- 3/4
- 2/3
Show the answer
C. 1/4 — Outcomes HH, HT, TH, TT; one of four is HH.
Question 4
On a circle graph, a category is 25% of the total. What is the angle of its sector?
- 25°
- 45°
- 90°
- 120°
- 180°
Show the answer
C. 90° — 25% of 360° = 90°.
Question 5
A bag has 4 red, 5 blue and 3 green marbles. One is drawn at random. What is the probability it is blue?
- 5/7
- 1/3
- 5/12
- 1/5
- 7/12
Show the answer
C. 5/12 — 5 blue out of 12 marbles.