Data And Statistics REview

Front

What is the mean of a set of numbers?

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

How do you increase the mean of a set of numbers?

Back

To increase the mean, you must increase the sum of the numbers. For example, to increase the mean of 4 numbers by 9, the sum must increase by 36.

Front

What is a box plot?

Back

A box plot is a graphical representation of a data set that shows the median, quartiles, and potential outliers.

Front

What does the median represent in a data set?

Back

The median is the middle value when the numbers are arranged in order. It divides the data set into two equal halves.

Front

What is the mode of a data set?

Back

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

Front

How do you find the median of a data set with an even number of values?

Back

To find the median, average the two middle numbers after arranging the data in order.

Front

What is the range of a data set?

Back

The range is the difference between the highest and lowest values in a data set.

Front

What is the interquartile range (IQR)?

Back

The IQR is the difference between the first quartile (Q1) and the third quartile (Q3) and measures the spread of the middle 50% of the data.

Front

How do you calculate the median of the following data set: 0, 7, 12, 4, 1, 3, 5, 3?

Back

First, arrange the data: 0, 1, 3, 3, 4, 5, 7, 12. The median is the average of the two middle numbers (3 and 4), which is 3.5.

Front

What is the difference between the median and the mode in a data set?

Back

The median is the middle value, while the mode is the most frequently occurring value. They can be the same or different.