a set of data consist of five number the mode is 2. the median is 3. the mode is 4. the difference between the largest and smallest number is 6. what are the five number?
Answer (1)
We are given that:- The mode is 2, meaning 2 appears more than any other number.- The median is 3, meaning the middle number (3rd one when arranged in order) is 3.- The mean is 4, so the average of the five numbers is 4. That means the sum of all five numbers is 4 × 5 = 20.- The range (difference between largest and smallest) is 6. If the smallest is 2 (since it's the mode), then the largest must be 2 + 6 = 8.Let’s test the set: 2, 2, 3, 4, 8- Mode: 2 appears twice, more than any other number. Correct.- Median: the third number is 3. Correct.- Mean: (2 + 2 + 3 + 4 + 8) = 19 — that’s not 20. So this doesn’t work yet.Try another set: 2, 2, 3, 5, 8- Sum = 20 → Mean is 4 ✅- Median is 3 ✅- Mode is 2 ✅- Range: 8 − 2 = 6 ✅Final answer: 2, 2, 3, 5, 8Let me know if you need more help! If this helps, feel free to mark it Brainliest
