Question

The mean (rounded to the nearest tenth if needed) Of the following data set is 30,29,40,51,39,33,24,60,40,35,58

Answer 1

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

The data set is: 30, 29, 40, 51, 39, 33, 24, 60, 40, 35, 58.

1. **Calculate the sum of the data set**:

\[
30 + 29 + 40 + 51 + 39 + 33 + 24 + 60 + 40 + 35 + 58 = 30 + 29 = 59
\]
\[
59 + 40 = 99
\]
\[
99 + 51 = 150
\]
\[
150 + 39 = 189
\]
\[
189 + 33 = 222
\]
\[
222 + 24 = 246
\]
\[
246 + 60 = 306
\]
\[
306 + 40 = 346
\]
\[
346 + 35 = 381
\]
\[
381 + 58 = 439
\]

So, the sum of the data set is 439.

2. **Count the number of values in the data set**:

There are 11 values.

3. **Calculate the mean**:

\[
\text{Mean} = \frac{\text{Sum}}{\text{Number of Values}} = \frac{439}{11} \approx 39.9090
\]

Rounding to the nearest tenth, the mean is **39.9**.