ERB Data Analysis and Statistics 2

Question 1

A bag contains 4 red marbles, 3 blue marbles, and 5 green marbles. If one marble is chosen at random, what is the probability of selecting a blue marble?

Accepted Answer

3/12

Answer

There are 3 blue marbles out of 12 total (4+3+5=12), so the probability is 3/12, which simplifies to 1/4 but the exact fraction 3/12 is also listed.

Question 2

A frequency table shows that in a class, 6 students scored 60–69, 10 scored 70–79, 8 scored 80–89, and 4 scored 90–99. How many students are in the class?

Accepted Answer

28

Answer

Total students = 6 + 10 + 8 + 4 = 28 students.

Question 3

A scatter plot shows data points generally moving from the lower-left to the upper-right of the graph. What type of correlation does this represent?

Accepted Answer

Positive correlation

Answer

When data points trend from lower-left to upper-right, as one variable increases the other also increases, indicating positive correlation.

Question 4

The high temperatures for one week were: 72, 75, 68, 74, 70, 85, 71. Which value is most likely an outlier?

Accepted Answer

85

Answer

85°F is significantly higher than the other values (which cluster between 68–75), making it an outlier.

Question 5

A pie chart shows how a student spends 24 hours: Sleep 33%, School 29%, Homework 17%, Free Time 13%, Other 8%. How many hours does the student spend on homework?

Accepted Answer

4.08 hours

Answer

17% of 24 hours = 0.17 × 24 = 4.08 hours spent on homework.

ERB - Educational Records Bureau Practice Test

ERB - Educational Records Bureau Practice Test

ERB Data Analysis and Statistics 2