High School

For a set of five numbers:
- The mode is 8.
- The median is 12.

Work out one possible set of five numbers.

Answer :

Step-by-step explanation:

mode = the number appearing the most often in the list of data.

median = the middle number. half of the other numbers are smaller, and the other half is larger.

so, we know one number already : 12 in the middle.

that gives us

_ _ 12 _ _

a good mode is when it has a real majority (e.g. every other number appears only once, but the mode number appears twice).

so, 8 should appear twice.

as 8 is smaller than 12, it can only be on the left side of 12.

that gives us

8 8 12 _ _

note we need 2 numbers larger than 12, but each appearing only once.

so, e.g.

8 8 12 13 14

Final answer:

One possible set of five numbers could be 8, 8, 12, 15, 20, where 8 is the mode and 12 is the median.

Explanation:

The question asks us to find a possible set of five numbers knowing that the mode is 8 and the median is 12. In statistics, the mode is the value that appears most often in a set of data and the median is the middle value when a data set is ordered from least to greatest.

Given these definitions, one possible set for these numbers could be 8, 8, 12, 15, 20. Here, 8 appears twice, making it the mode, and 12 is in the middle when organized in ascending order, making it the median.

Learn more about Statistics here:

https://brainly.com/question/31538429

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