Calculate mean, median, mode, and range

Detailed Explanation: Calculate mean, median, mode, and range

To summarize a data set, find its mean, median, mode, and range.

Use this data set:

1. Mean

The mean is the total of all values divided by the number of values.

First, add the values:

There are $6$ values, so divide by $6$:

The mean is $10\frac{1}{3}$, or about $10.3$.

2. Median

The median is the middle value when the data is in order. The data is already ordered:

There are $6$ values, so there are two middle values: $8$ and $10$. Find their average:

The median is $9$.

3. Mode

The mode is the value that occurs most often.

The value $8$ appears twice, while every other value appears once. Therefore, the mode is:

A data set can have no mode if no value repeats, or it can have more than one mode if several values tie for appearing most often.

4. Range

The range shows the spread from the smallest value to the largest value. Subtract the minimum from the maximum:

The range is $11$.

So, for this data set:

• Mean: $10\frac{1}{3}$
• Median: $9$
• Mode: $8$
• Range: $11$

The mean and median describe the center of the data, while the range describes how spread out the data is. An unusually large or small value can affect the mean more strongly than the median.