The median of an ungrouped data and the median calculated when the same data is grouped are always the same. Do you think that this is a correct statement? Give reason.
Step 1: Understand what "median" means. The median is the middle value of a data set when the numbers are arranged in order.
Step 2: Median for ungrouped data. When the data is written as individual numbers (like 3, 7, 9, 12), we can directly pick the middle number. → This gives the exact value of the median.
Step 3: Median for grouped data. When the same numbers are arranged in class intervals (like 0–5, 5–10, 10–15, etc.), we use a formula to calculate the median. → This formula gives only an approximate value, not the exact one.
Step 4: Compare both. The median from ungrouped data (exact) and the median from grouped data (approximate) are usually close to each other, but they are not always exactly the same.
Final Conclusion: The statement is false because the two medians are not guaranteed to be equal.