Question

Calculate the mean, median, and mode of the following set of data

Answer 1

Mean = 7.3, Median = 7, Mode = 1

Explanation:

Given the set of numbers below:

`\begin{equation}7,3,2,1,13,8,1,5,14,11,15\end{equation}`

We want to find the mean, median, and mode.

First, begin by sorting the data in ascending order.

`1,1,2,3,5,7,8,11,13,14,15`

(a)Mean

There are 11 items in the dataset.

To find the mean, add the numbers and divide by 11.

`\begin{gathered} Mean=(1+1+2+3+5+7+8+11+13+14+15)/(11) \\ =(80)/(11) \\ =7.27 \\ Mean\approx7.3 \end{gathered}`

(b)Median

The median is the number in the middle when arranged in ascending order.

The number in the middle is 7, therefore:

Median = 7

(c)Mode

The mode is the number that appears the most.

Mode = 1

The second option is correct.