Question

find the mean for the following group of data items. 4, 2, 6, 5, 7, 3, 7, 9 the mean is (type an integer or a decimal.)

Explanation:

Step1: Sum the data items

The data items are 4, 2, 6, 5, 7, 3, 7, 9. We add them together: $4 + 2 + 6 + 5 + 7 + 3 + 7 + 9$. Let's calculate step by step: $4+2 = 6$, $6+6 = 12$, $12+5 = 17$, $17+7 = 24$, $24+3 = 27$, $27+7 = 34$, $34+9 = 43$. So the sum is 43.

Step2: Count the number of data items

There are 8 data items (4, 2, 6, 5, 7, 3, 7, 9), so the count $n = 8$.

Step3: Calculate the mean

The formula for the mean $\bar{x}$ is $\frac{\text{Sum of data items}}{n}$. So we have $\frac{43}{8}$. Calculating this division: $43\div8 = 5.375$.

Answer:

5.375