Medium
Consider the data: 3, 5, 7, 5, 9, 5, 11, 7.
I. The mode is 5.
II. The median is 6.
III. The mean is 7.
Which of the statements are correct?
Explanation
Explanation
Step 1 (Mode): 5 appears three times, more than any other value, so mode = 5. Statement I is true.
Step 2 (Median): Arrange in order: 3, 5, 5, 5, 7, 7, 9, 11. There are 8 values (even), so median = average of the 4th and 5th values = (5 + 7) ÷ 2 = 6. Statement II is true.
Step 3 (Mean): Sum = 3+5+7+5+9+5+11+7 = 52, and mean = 52 ÷ 8 = 6.5, not 7. Statement III is false.
Answer: I and II only.
PRO TIP
Re-check your working by substituting the answer back into the original question.