The mean of the data is 6.8. Find the median.

01 / Standard#Your turn

n,\ n-3,\ 2n+5,\ 4n-4,\ 5n+10

Official paper · jm01-2024 · I.8 · PDF 2

Skills and prerequisite lessons

Working and explanation

BUILD THE REASONING

Hint 1

Use total=5×mean.

Hint 2

Sort the resulting five numbers.

Worked solution

A: 4.

Checks and common pitfalls: The third listed expression need not be the median before sorting.

Reasoning checklist · self / teacher assessment

Teaching assessment checklist, independently authored. Use the original paper for official marks.
Solve for n.
$13n+8=5(6.8)=34\implies n=2$
Take the central sorted entry.
$-1,2,4,9,20\implies\operatorname{median}=4$

Think first. Reveal a hint when the class is ready.

2024 JM01