# What are the minimum, first quartile, median, mean, third quartile, and maximum of the following data set?: 10, 4, 9, 13, 5, 11, 5, 3, 7, 5

##### 1 Answer

**Minimum: 3**

**First quartile: 5**

**Median: 6**

**Third quartile: 10**

**Maximum: 13**

#### Explanation:

First, let's list the data out from smallest to largest:

The **minimum** is the lowest number in the data set.

Since we listed it out from smallest to largest, we know that the minimum is

The **median** is the middle number. Cancel out

Find the average of the middle

Therefore, the median is

The **first quartile (Q1)** is the median of the lower half of data which lies at 25% of the data.

Let's look at the lower half of numbers:

Cancel out

Therefore, the

The **third quartile (Q3)** is the median of the upper half of data which lies at 75% of the data.

Let's look at the upper half of numbers:

Again cancel out

The

The **maximum** is the highest number in the data set; it is

Hope this helps!