Statistics and Probability Review

Front

What is the shape of the data when it is negatively skewed?

Back

In a negatively skewed distribution, the tail on the left side is longer or fatter than the right side. Most of the data points are concentrated on the right.

Front

What is the theoretical probability of pulling a red marble from a bag containing 3 red, 2 blue, 1 yellow, and 4 green marbles?

Back

The theoretical probability of pulling a red marble is calculated as the number of red marbles divided by the total number of marbles: \( \frac{3}{10} \).

Front

How do you find the median of a set of numbers?

Back

To find the median, arrange the numbers in ascending order and identify the middle number. If there is an even number of values, the median is the average of the two middle numbers.

Front

What is the shape of the data when it is positively skewed?

Back

In a positively skewed distribution, the tail on the right side is longer or fatter than the left side. Most of the data points are concentrated on the left.

Front

What is the range of a set of numbers?

Back

The range is calculated as the biggest number minus the smallest number in the set.

Front

Define 'mean' in statistics.

Back

The mean is the average of a set of numbers, calculated by adding all the numbers together and dividing by the count of numbers.

Front

What is 'mode' in a data set?

Back

The mode is the number that appears most frequently in a data set.

Front

What does it mean if data is 'symmetrical'?

Back

Symmetrical data has a balanced distribution where the left and right sides are mirror images of each other.

Front

How do you calculate the probability of an event?

Back

The probability of an event is calculated as the number of favorable outcomes divided by the total number of possible outcomes.

Front

What is a 'bi-modal' distribution?

Back

A bi-modal distribution has two different modes, or peaks, indicating two different groups within the data.