SCAT Data Interpretation and Probability 5

Question 1

A survey of 50 people found 30 prefer coffee and 20 prefer tea. If one person is selected at random, what is the probability they prefer coffee?

Accepted Answer

3/5

Answer

P(coffee) = 30/50 = 3/5.

Question 2

A graph shows a company's profit over 5 years: Year 1=$10k, Year 2=$15k, Year 3=$12k, Year 4=$20k, Year 5=$18k. What is the median profit?

Accepted Answer

$15k

Answer

Sorted values: 10, 12, 15, 18, 20; the middle value is 15.

Question 3

Two events A and B are independent. P(A)=0.4 and P(B)=0.5. What is P(A and B)?

Accepted Answer

0.2

Answer

For independent events, P(A and B) = P(A) × P(B) = 0.4 × 0.5 = 0.2.

Question 4

A pictograph shows each symbol represents 10 books. Category A has 3.5 symbols, Category B has 5 symbols. How many more books does Category B have than A?

Accepted Answer

15

Answer

Category A = 35 books, Category B = 50 books; difference = 50 − 35 = 15.

Question 5

From a group of 5 boys and 4 girls, one student is chosen at random. What is the probability the student is a girl?

Accepted Answer

4/9

Answer

P(girl) = 4 girls / 9 total students = 4/9.

(SCAT) School and College Ability Test Practice Test

(SCAT) School and College Ability Test Practice Test

SCAT Data Interpretation and Probability 5