Question

Find the mean of the data set
12.18 12.05 11.88 11.97 11.94 12.01 12.11
1)12.02
2)12.03
3)12.05
4)12.01

Answer 1

To find the mean of the data set, you need to sum all the values and then divide by the number of values.

The data set is:
12.18, 12.05, 11.88, 11.97, 11.94, 12.01, 12.11

1. First, sum the values:
\[
12.18 + 12.05 + 11.88 + 11.97 + 11.94 + 12.01 + 12.11 = 12.18 + 12.05 + 11.88 + 11.97 + 11.94 + 12.01 + 12.11 = 12.01
\]
Calculating step by step:
- \(12.18 + 12.05 = 24.23\)
- \(24.23 + 11.88 = 36.11\)
- \(36.11 + 11.97 = 48.08\)
- \(48.08 + 11.94 = 60.02\)
- \(60.02 + 12.01 = 72.03\)
- \(72.03 + 12.11 = 84.14\)

Total sum = 84.14

2. Now, count the number of values:
There are 7 values in the set.

3. Calculate the mean:
\[
\text{Mean} = \frac{\text{Total Sum}}{\text{Number of Values}} = \frac{84.14}{7} \approx 12.02
\]

Thus, the mean of the data set is approximately **12.02**.

So the correct answer is **1) 12.02**.