Question

For the odd numbers between $8$ and $24$, the correct option(s) is/are

• A. Median is $15$
• B. Median is $16$
• C. Mean is $15$
• D. Mean is $16$

Answer 1

Answer: (B), (D)

Mean is $16$

Odd numbers between $8$ and $24$ are
$9,11,13,15,17,19,21,23$
Here $N=8\text{(even)}$
median $=\frac{{\left(\frac{N}{2}\right)}^{th}\text{term}+{(\frac{N}{2}+1)}^{th}\text{term}}{2}$
$=\frac{4^{th}\text{term}+5^{th}\text{term}}{2}$
$=\frac{15+17}{2}=16$

Hence, median is $16$

Mean $=\frac{9+11+.....+23}{8}=16$