Shapes of Data Review

Front

What is a dot plot?

Back

A dot plot is a statistical chart consisting of dots representing the frequency of data points in a dataset. Each dot represents one occurrence of a value.

Front

How is standard deviation related to variability in a dataset?

Back

Standard deviation measures the amount of variation or dispersion in a set of values. A higher standard deviation indicates more variability.

Front

What happens to the mean of a dataset if every number is increased by a constant value?

Back

The mean will increase by the same constant value.

Front

What is the effect on the mean if a very large negative number is added to a dataset?

Back

The mean will decrease, as the large negative number pulls the average down.

Front

What is the median in a dataset?

Back

The median is the middle value when the data points are arranged in ascending order. If there is an even number of observations, it is the average of the two middle numbers.

Front

When is the median a better measure of center than the mean?

Back

The median is a better measure of center when the data is skewed or has outliers, as it is not affected by extreme values.

Front

What does it mean for a dataset to be non-symmetric?

Back

A non-symmetric dataset has a distribution that is not evenly balanced around the center, often resulting in a skewed shape.

Front

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

Back

In a symmetric distribution, the mean and median are equal.

Front

What is the impact of outliers on the mean and median?

Back

Outliers can significantly affect the mean, pulling it towards the extreme value, while the median remains relatively unaffected.

Front

How do you calculate the mean of a dataset?

Back

To calculate the mean, sum all the values in the dataset and divide by the number of values.