Question

Match the following:

• A. i - d, ii - a, iii - c, iv - b
• B. i - a, ii - b, iii - c, iv - d
• C. i - d, ii - c, iii - b, iv - a
• D. i - d, ii - c, iii - a, iv - b

Hint:

When solving for mean, median, and mode, always first arrange the data in order and then apply the appropriate formula.

Answer 1

The Correct Option is A

Step 1: Understand the terms.
- Mean: The average of the numbers.
- Median: The middle number in an ordered data set.
- Mode: The most frequent number in a data set.
- Range: The difference between the highest and lowest values in the data.

Step 2: Match with the values.
Given the numbers 5, 8, 14, 7, 9, 11, 5, we calculate:
- Mean: \( \frac{5 + 8 + 14 + 7 + 9 + 11 + 5}{7} = 7.5 \)
- Median: The middle value of the sorted list (5, 5, 7, 8, 9, 11, 14) is 9.
- Mode: The most frequent value is 5.
- Range: \( 14 - 5 = 8 \)
Thus, the correct matching is \( i - d, ii - a, iii - c, iv - b \).

Final Answer: i - d, ii - a, iii - c, iv - b.