Question

Hello hope all is well with you . Can you help me with the question at the bottom I did the answer for C AND D

Answer 1

The means for both population data shows the hypothetical age due to the contribution of all the ages in the data.

For Data in C:

The mean of 31.7 is somewhat relevant and gives an okay sense of the data spread since it can be argued that 4 ages in the population are close to the mean value of 31.7. i.e. 29, 32, 33 and 35. So saying the average age of people who become zombies is 31.7, reflects some truth about the population but it is not a complete enough metric to cater for the spread of the population ages.

Therefore, if we were to give information about the crisis, we could mention the mean only that it should be accompanied by the relevant standard deviation of the data.

The standard deviation of this data is gotten using the formula:

`\begin{gathered} \sum ((x-\mu)^2)/(n)^{} \\ \\ \text{where } \\ x=\text{individual data points} \\ \mu=\text{population mean} \\ n=\text{ number of data points} \end{gathered}`

Let us calculate the standard deviation to show how relevant this is.

This means that if we add and subtract 8 from the mean, we should cover 1 standard deviation of the data. Doing this, we have:

`\begin{gathered} 31.7-8=23.7 \\ 31.7+8=39.7 \end{gathered}`

As you can see, the values gotten after adding the standard deviations covers a much larger portion of the data.

Hence, We should not use the Mean alone in an interview. Rather we should use it with a metric like the standard deviation (std)

For Data in D:

The data in D has a mean of 28.58, which is not close in any way to the values in the population data.

The values of the population data are spread really wide about the mean so much that saying

"the average number of people who recover from the Zombie disease is 28.58", has no meaning.

Hence, in this case using a metric like