Question

HH.1 Calculate mean, median, mode, and range
U2A
What is the range?
658810463

Answer 1

To calculate the mean, median, mode, and range for the data set you've provided, we first need to organize the numbers. The provided data appears to be a sequence of numbers:

6, 5, 8, 10, 4, 6, 3

### Step 1: Organize the Numbers
Let's list the numbers in ascending order:
3, 4, 5, 6, 6, 8, 10

### Step 2: Calculate the Mean
The mean is calculated by adding all the numbers together and dividing by the total number of values.

\[
\text{Mean} = \frac{3 + 4 + 5 + 6 + 6 + 8 + 10}{7} = \frac{42}{7} = 6
\]

### Step 3: Calculate the Median
The median is the middle number in a sorted list. Since there are 7 numbers (an odd count), the median will be the 4th number in the ordered list.

Ordered List: 3, 4, 5, **6**, 6, 8, 10

\[
\text{Median} = 6
\]

### Step 4: Calculate the Mode
The mode is the number that appears most frequently. In this list:

- 3 appears 1 time
- 4 appears 1 time
- 5 appears 1 time
- 6 appears 2 times
- 8 appears 1 time
- 10 appears 1 time

The mode is 6, as it appears the most frequently.

\[
\text{Mode} = 6
\]

### Step 5: Calculate the Range
The range is the difference between the highest and lowest values in the data set.

\[
\text{Range} = \text{Maximum} - \text{Minimum} = 10 - 3 = 7
\]

### Summary:

- **Mean**: 6
- **Median**: 6
- **Mode**: 6
- **Range**: 7