Step-by-step explanation
From the table, we have:
• The first column (Value),: indicates the # of correct answers,
,
• The second column (Frequency),: indicates the # of students that answer the # of correct answers to the left in the table,
,
• The third column (Relative Frequency),: indicates the proportion of the # of students to the total,
,
• The fourth column (Cumulative Frequency),: gives the sum of the previous frequencies up to that row.
Using these data, we answer the questions:
a) Looking at the column Frequency for Value = 3, we find that 2 students answered exactly 3 answers correct.
b) Looking at the column Cumulative Frequency for Value = 2 (the previous value to 3), we find that 18 students answered less than 3 questions correctly.
c) Looking at the column Relative Frequency for Value = 4, we find that 0.3 = 0.3 * 100% = 30% of the students answered exactly 4 questions correctly.
Answer
a) 2
b) 18
c) 30%