Comparing Distribution

Front

What is standard deviation?

Back

Standard deviation is a measure of the amount of variation or dispersion in a set of values. A low standard deviation indicates that the values tend to be close to the mean, while a high standard deviation indicates that the values are spread out over a wider range.

Front

Which standard deviation indicates greater variability: 4.2 or 8.5?

Back

8.5 indicates greater variability.

Front

Which standard deviation indicates more consistency: 4.2 or 8.5?

Back

4.2 indicates more consistency.

Front

What does a higher standard deviation imply about a data set?

Back

A higher standard deviation implies that the data points are more spread out from the mean, indicating greater variability.

Front

What does a lower standard deviation imply about a data set?

Back

A lower standard deviation implies that the data points are closer to the mean, indicating less variability.

Front

How do you interpret a pie chart in relation to a bar chart?

Back

A pie chart shows the proportion of parts to a whole, while a bar chart represents the same data in rectangular bars, making it easier to compare different categories.

Front

What is the median in a data set?

Back

The median is the middle value when the data set is ordered from least to greatest. If there is an even number of observations, the median is the average of the two middle numbers.

Front

How do you determine which data set has values closer to the mean?

Back

The data set with the lowest standard deviation has values that are closer to the mean.

Front

What is the relationship between mean and median in a skewed distribution?

Back

In a skewed distribution, the mean is pulled in the direction of the skew, while the median remains more resistant to extreme values.

Front

What is a bar chart?

Back

A bar chart is a graphical representation of data using bars of different heights or lengths to compare different categories.