Chapter 2.1, Problem 37E

To determine

To select:

Correct option from $30$ is added to every observation in a data set, the one that is not changed is

Answer to Problem 37E

The only one that is not changed is the standard deviation.

Explanation of Solution

Given:

1. The mean.
2. The ${75}^{th}$
3. The median.
4. The standard deviation.
5. The minimum.

Data set = 30

Adding a constant to each data set does not change the distance between values standard deviation is same.

So answer (d) is the correct answer. I.e. standard deviation is not changed when $30$ is added to every observation in a data set.

Conclusion:

Hence, the only one that is not changed is the standard deviation.