Question

find the mean, \\(\overline{x}\\), of the data.\
16, 13, 20, 16, 12, 17, 18

Explanation:

Step1: Sum the data values

To find the mean, we first sum all the data points. The data is \(16, 13, 20, 16, 12, 17, 18\). So we calculate \(16 + 13 + 20 + 16 + 12 + 17 + 18\). Let's compute that: \(16+13 = 29\), \(29+20 = 49\), \(49+16 = 65\), \(65+12 = 77\), \(77+17 = 94\), \(94+18 = 112\). So the sum is \(112\).

Step2: Count the number of data points

There are 7 data points (since we have 7 numbers: 16, 13, 20, 16, 12, 17, 18).

Step3: Calculate the mean

The formula for the mean \(\bar{x}\) is \(\bar{x}=\frac{\text{Sum of data points}}{\text{Number of data points}}\). So we divide the sum (112) by the number of data points (7). So \(\bar{x}=\frac{112}{7}=16\).

Answer:

16