We are given a set of numbers: 3, 8, 5, 6, 7, 4, 4. We need to find the mean, median, mode, and range of this data set.

1. Problem Description

We are given a set of numbers: 3, 8, 5, 6, 7, 4,

4. We need to find the mean, median, mode, and range of this data set.

2. Solution Steps

First, let's arrange the numbers in ascending order:

3, 4, 4, 5, 6, 7, 8

Mean:

The mean is the average of the numbers. To find the mean, we sum up the numbers and divide by the total number of numbers in the set.

$Mean = \frac{3+8+5+6+7+4+4}{7} = \frac{37}{7} \approx 5.3$

Median:

The median is the middle value when the numbers are arranged in ascending order. Since there are 7 numbers, the median is the 4th number.

In the ordered set 3, 4, 4, 5, 6, 7, 8, the median is

5.

Mode:

The mode is the number that appears most frequently in the set.

In the set 3, 4, 4, 5, 6, 7, 8, the number 4 appears twice, which is more than any other number.

Therefore, the mode is

4.

Range:

The range is the difference between the largest and smallest numbers in the set.

$Range = Largest \ number - Smallest \ number$

$Range = 8 - 3 = 5$

3. Final Answer

Mean = 5.3

Median = 5

Mode = 4

Range = 5