Question

1. define mean.
2. what type of graph is used to show the frequency of data grouped into intervals?
3. what values make up the five - number summary?
4. what is the purpose of a boxplot?

Explanation:

1. The mean is the average of a set of numbers. It is calculated by summing all the values in the data set and then dividing by the number of values.
2. A histogram is used to show the frequency of data grouped into intervals. It consists of adjacent bars where the height of each bar represents the frequency of the data within that interval.
3. The five - number summary consists of the minimum value, the first quartile ($Q_1$), the median ($Q_2$), the third quartile ($Q_3$), and the maximum value of a data set.
4. The purpose of a boxplot is to provide a visual summary of the distribution of data. It shows the five - number summary (minimum, $Q_1$, median, $Q_2$, maximum) and can also be used to identify outliers.

Answer:

1. The mean is the average of a set of numbers.
2. A histogram.
3. The minimum value, the first quartile ($Q_1$), the median ($Q_2$), the third quartile ($Q_3$), and the maximum value.
4. To provide a visual summary of the distribution of data, showing the five - number summary and identifying outliers.