Question

find the mean, \\(\overline{x}\\), of the data.
84, 98, 70, 76, 88, 76
\\(\overline{x} = ?\\)

Explanation:

Step1: Sum the data values

To find the mean, we first need to sum all the data points. The data points are 84, 98, 70, 76, 88, and 76. So we calculate the sum:
\(84 + 98 + 70 + 76 + 88 + 76\)
First, add 84 and 98: \(84 + 98 = 182\)
Then add 70: \(182 + 70 = 252\)
Next add 76: \(252 + 76 = 328\)
Then add 88: \(328 + 88 = 416\)
Finally add 76: \(416 + 76 = 492\)

Step2: Divide by the number of data points

The number of data points (n) is 6. The formula for the mean \(\overline{x}\) is \(\overline{x}=\frac{\text{Sum of data points}}{n}\). So we divide the sum (492) by 6:
\(\overline{x}=\frac{492}{6}\)
Calculating this division: \(492\div6 = 82\)

Answer:

\(82\)