Question

Here is a data set: 1 2 3 3 4 4 4 4 5 5 6 7 What happens to the mean and standard deviation of the data set when the 7 is changed to a 70? Your answer:

1. phucdien
When the 7 is changed to a 70, what happens is that the mean would get bigger while the standard deviation would change as well.

### How to find Mean and Standard deviation?

We are given the data set as;
Data set: 1, 2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 7
The mean is the average of a group of data. The data set  added up and divided by the number of data. The mean is sensitive to extreme data.
Standard deviation shows how much variation there is from the mean. A low SD indicates that the data points tend to be close to the mean, whereas a high SD indicates that the data are spread out over a large range of values.
When the 7 is changed to a 70, what happens is that the mean would get bigger because you are adding in a bigger number and as such the mean would increase.
The standard deviation would change as well because then again you are adding a bigger number and standard deviation is basically the difference between the greatest and least.