SCAT Data Interpretation and Probability 3

Question 1

A histogram shows frequency of scores: 50–59 (4 students), 60–69 (8 students), 70–79 (12 students), 80–89 (6 students). How many students scored below 70?

Accepted Answer

12

Answer

Students scoring below 70 are in the 50–59 and 60–69 ranges: 4 + 8 = 12.

Question 2

A standard deck has 52 cards. What is the probability of drawing a king or a queen?

Accepted Answer

2/13

Answer

There are 4 kings and 4 queens = 8 favorable cards; 8/52 = 2/13.

Question 3

The median of the data set {12, 15, 18, 22, 25, 30} is:

Accepted Answer

20

Answer

With 6 values, the median is the average of the 3rd and 4th values: (18+22)/2 = 20.

Question 4

A scatter plot shows a strong positive correlation between hours studied and exam scores. What does this tell us?

Accepted Answer

Higher study hours are associated with higher scores

Answer

A strong positive correlation means that as one variable increases, the other tends to increase as well.

Question 5

A jar contains 4 yellow and 6 purple candies. If one is drawn and not replaced, then another is drawn, what is the probability both are yellow?

Accepted Answer

2/15

Answer

P(yellow then yellow) = (4/10) × (3/9) = 12/90 = 2/15.

(SCAT) School and College Ability Test Practice Test

(SCAT) School and College Ability Test Practice Test

SCAT Data Interpretation and Probability 3