Question

what is the mode of 13 11 15 13 16 16 17 12 13 13 12 13 11 13 13​

Answer 1

Mode is the most repeated observation in a given set of data.

Data: 13, 11, 15, 13, 16, 16, 17, 12, 13, 13, 12, 13, 11, 13 and 13.

Now, it can be kind of hard just looking at it to understand which observation is the most repeated. Let's first arrange them in order of ascendance.

11, 11, 12, 12, 13, 13, 13, 13, 13, 13, 13, 15, 16, 16 and 17.

From this, it's clear that 13 is the most repeated observation. Hence, 13 is the mode.

[NOTE: This can also be done by using the tally mark method to record the number of each observation.]

Other data related terms:

Mean: The average of a given set of data.

$\tt Mean\ =\ \dfrac{Sum\ of\ all\ the\ observations}{Total\ number\ of\ observations}$

Median: The middlemost observation in a given set of data.

$\tt When\ n\ (the\ number\ of\ observations0\ is\ an\ odd\ number,\\\\\\Median\ =\ \bigg[\dfrac{n\ +\ 1}{2}\bigg]^{th}\ term\\\\\\When\ n\ is\ an\ even\ number,\\\\\\Median\ =\ \bigg[\dfrac{\bigg(\dfrac{n}{2}\bigg)\ +\ \bigg(\dfrac{n}{2}\ +\ 1\bigg)}{2}\bigg]^{th}\ term$