Question

The age of penguins participating in an annual Icicle-darts competition is given in the list.
Age of Penguins

12	15	12	13	17
13	14	14	14	16
14	12	12	14	11

What age best represents the group of participants?

• A. $13$ years
• B. $14$ years

Answer 1

The correct option is B $14$ years

Age of Penguins

12	15	12	13	17
13	14	14	14	16
14	12	12	14	11

To know the age that best represents the group of participants, we measure the central tendency of the data set.

Here, we find the median of the given data set.

Total number of data points
$=\text{Number of Rows}\times \text{Number of Columns}$
$=3\times 5$
$=15$

Median is the middle value when odd-numbered data is arranged in ascending order.

Ascending order:

11

12

12

12

12

13

13

14

14

14

14

14

15

16

17

Here, the middle positon is $8^{th}$.

The value corresponding to $8^{th}$ position is 14.

$\Rightarrow$ Median age $=14$ years.