Final answer:
The median is the middle value in a data set when it is ordered from least to greatest. Quartiles represent specific points in a data set that divide it into quarters. The interquartile range is the difference between the first quartile and the third quartile, and it is a measure of the spread of the middle 50% of the data. The mode of a data set is the most frequently occurring value, and outliers are data points that significantly differ from the other values.
Step-by-step explanation:
The median is the middle value in a data set when it is ordered from least to greatest. To find the median, you would first need to order the data set. If there are an odd number of values in the set, the median is the middle value. If there are an even number of values, then the median is the average of the two middle values. The first quartile (Q1) is the value that is 25% of the way through the data set, and the third quartile (Q3) is the value that is 75% of the way through the data set. The interquartile range (IQR) is the difference between Q3 and Q1 and represents the spread of the middle 50% of the data.
The lower quantile is the 25th percentile, and it represents the value below which 25% of the data falls. The upper quantile is the 75th percentile, and it represents the value below which 75% of the data falls.
The mode of a data set is the value or values that occur most frequently.
To calculate the mean, you would sum up all the values in the data set and divide by the total number of values in the set.
A box plot is a graphical representation of a data set that shows the minimum value, first quartile, median, third quartile, and maximum value. It can help visualize the spread and distribution of the data.
An outlier is a data point that is significantly different from the other values in the data set. Outliers can affect the analysis of the data and should be investigated further.