Answer: 24
Step-by-step explanation:
The median is the middle number of the set. If the set contains an even number of terms, then the median is the average of the two middle numbers.
{12, 14, 16, 18, x-1, x+3, 30, 32, 35, 41}
Cross out the end terms to find the median: {X, X, X, X, x-1, x+3, X, X, X, X}
The median is the average of the two middle numbers (x-1 and x+3).
[tex]\dfrac{(x-1)+(x+3)}{2}=22\\\\(x-1)+(x+3)=44\\\\2x+2=44\\2x=42\\x=21[/tex]
The 6th term is x+3 ⇒ 21 + 3 = 24
