Question

What are the mean, median and mode of the numbers 2, 8, 5, 8, 10?

Answer 1

We have a dataset: {2, 8, 5, 8, 10}, with a size of n = 5.

We have to calculate the mean, the median and the mode.

The mean can be calculated as:

`\begin{gathered} Mean=(1)/(n)\sum_{i\mathop{=}1}^nx_i \\ Mean=(1)/(5)(2+8+5+8+10) \\ Mean=(1)/(5)(33) \\ Mean=(33)/(5) \\ Mean=6.6 \end{gathered}`

To find the median, we have to sort the dataset: 2, 5, 8, 8, 10.

The median will be located at the center of this sorted dataset.

This happens at the 3rd place, so the median is 8, as the 3rd value is 8.

The 3rd place has 2 datapoints above and 2 datapoints below its value.

The mode is the most frequent value in the dataset.

In this case, the mode is 8, which has a frequency of 2.

Answer:

Mean = 6.6

Median = 8

Mode = 8