Question

- Suppose that we have the data {x
_{1}, x_{2}, ..., x_{n}} such that x_{1}=x_{2}=...=x_{n}=3. What is the mean of the data? What is the standard deviation? - In the formula for the mean of the grouped data, what do you get when you have all group frequencies equal to 1?
- Two data sets of the same size have standard deviations s
_{1}and s_{2}. If s_{1}<s_{2}, then how do these data sets compare?

Step 1

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Step 2

**Mean of the data:**

Mean is the center value of the data set. The mean is calculated by the sum of all values divided by total number of observations in the data set.

Here, *x*_{1} = *x*_{2 }= … = *x _{n}* = 3. That is, all the data values in the data set are exactly same.

The mean of the data is 3 as calculated as follows.

Step 3

**Standard deviation of the data:**

The standard deviation is the measure of spread of data in data set. In other words, the difference between the data in data sets and its mean value.

Since t...

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