BMST Data Interpretation and Probability 4

Question 1

A survey of 150 people found 90 own a car, 60 own a bicycle, and 30 own both. How many own neither?

Accepted Answer

30

Answer

Using inclusion-exclusion: 90+60−30=120 own at least one; 150−120=30 own neither.

Question 2

A line graph shows a company's profit doubling each year from $10,000 in Year 1. What is the profit in Year 4?

Accepted Answer

$80,000

Answer

Year 2=$20,000; Year 3=$40,000; Year 4=$80,000 (doubling each year).

Question 3

The probability of event A is 0.4 and event B is 0.3. If A and B are mutually exclusive, what is P(A or B)?

Accepted Answer

0.7

Answer

For mutually exclusive events, P(A or B) = P(A) + P(B) = 0.4 + 0.3 = 0.7.

Question 4

A stem-and-leaf plot shows stems 1, 2, 3 with leaves 2,5 | 1,4,8 | 0,3. What is the largest value?

Accepted Answer

33

Answer

Stem 3 with leaf 3 gives 33, which is the largest value in the plot.

Question 5

A data set has a mean of 50 and standard deviation of 5. Approximately what percentage of data falls within one standard deviation of the mean?

Accepted Answer

68%

Answer

By the empirical rule, approximately 68% of data falls within one standard deviation of the mean.

BMST - Basic Math and Science Test Practice Test