Question

exd and statistics problem set

1. using everyday language, briefly explain what the mean, or average, of a population tells us.
2. using everyday language, briefly explain what the standard deviation tells us.
3. use the histograms below to identify which population has a greater standard deviation. justify your choice.

population x
population y

Explanation:

1. The mean of a population gives us a single - value that represents the 'center' or 'typical' value of all the data points in the population. It's like finding the middle - ground of all the values in the group.
2. The standard deviation tells us how spread out the data points in a population are. A small standard deviation means the data is clustered closely around the mean, while a large one means the data is more spread out.
3. Population Y has a greater standard deviation. In Population X, the data is more clustered around the values near 100 - 120, while in Population Y, the data is more spread out across a wider range of values from 60 - 140.

Answer:

1. The mean represents the typical or central value of the population.
2. The standard deviation shows how spread out the data in the population is.
3. Population Y has a greater standard deviation because its data is more spread out across a wider range of values compared to Population X.