Question

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

Explanation:

Step1: Calculate the sum of data items

Sum \( S=4 + 6+5 + 3+2 + 9+7 + 6\)
\(S=(4 + 6)+(5 + 3)+(2 + 9)+(7 + 6)\)
\(S = 10+8 + 11+13\)
\(S=42\)

Step2: Calculate the number of data items

Number of data items \(n = 8\)

Step3: Calculate the mean

Mean \(\bar{x}=\frac{S}{n}\)
\(\bar{x}=\frac{42}{8}=5.25\)

Answer:

\(5.25\)