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Find the mean for the following group of data items:

[tex]\[ 5, 4, 9, 7, 8, 2, 3, 4 \][/tex]

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To find the mean of a given set of data items, you need to follow these steps:

1. Sum the data items: Add up all the numbers in the dataset.
2. Count the number of data items: Determine how many numbers are in the dataset.
3. Divide the sum by the number of items: This will give you the mean.

Let's break it down for the given data items: 5, 4, 9, 7, 8, 2, 3, 4.

Step 1: Sum the data items

First, add all the numbers together:
[tex]\[ 5 + 4 + 9 + 7 + 8 + 2 + 3 + 4 \][/tex]

Step 2: Count the number of data items

Next, count how many numbers there are:
[tex]\[ \text{There are 8 numbers in total.} \][/tex]

Step 3: Divide the sum by the number of items

Divide the sum of the numbers by the total number of items to find the mean:

The sum of the data items is 42, and there are 8 numbers. So,

[tex]\[ \text{Mean} = \frac{\text{Sum of data items}}{\text{Number of data items}} \][/tex]

[tex]\[ \text{Mean} = \frac{42}{8} = 5.25 \][/tex]

Therefore, the mean of the given data items is 5.25.
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