What is the median of the data set {4, 1, 7, 2, 5}?

First, order the data set: {1, 2, 4, 5, 7}. The median is the middle value, which is 4.

How do you calculate the range of a data set?

The range is calculated by subtracting the smallest value from the largest value. For the data set {3, 7, 5}, the range is 7 - 3 = 4.

What is the formula for standard deviation?

The standard deviation (σ) is calculated using the formula: σ = √(Σ(x_i - μ)² / N), where μ is the mean and N is the number of data points.

If a data set has a mean of 8 and consists of 5 numbers, what is the total sum of all the numbers?

The total sum is calculated as Mean × Number of values = 8 × 5 = 40.

In a box plot, what do the whiskers represent?

The whiskers in a box plot represent the range of the data, extending to the minimum and maximum values excluding outliers.

What does a correlation coefficient of -1 indicate?

A correlation coefficient of -1 indicates a perfect negative linear relationship between two variables.

If the mode of a data set is 6, what does this mean?

The mode is the value that appears most frequently in the data set. If the mode is 6, then 6 is the most common value.

What is the difference between a sample and a population in statistics?

A population includes all members of a specified group, while a sample is a subset of the population used for analysis.

If a data set has an outlier, how might this affect the mean?

An outlier can significantly increase or decrease the mean, making it not representative of the majority of the data.

In probability, what is the difference between independent and dependent events?

Independent events do not affect each other, while dependent events have outcomes that are affected by previous events.