Final answer:
To describe the number of hours students spend watching TV each night from a line plot, include the mean, median, and mode for measures of center and the range, variance, and standard deviation for variability. The interquartile range (IQR) helps further analyze the spread of data and identify potential outliers.
Step-by-step explanation:
When describing the data from a line plot that shows the number of hours students spend watching TV each night, key statistical measures to include are measures of central tendency and measures of variability. The measures of central tendency include the mean, median, and mode. The mean is the average of the data, the median is the middle value when the numbers are arranged in order, and the mode is the most frequently occurring number. Measures of variability include the range, which is the difference between the highest and lowest values; the variance, which quantifies how spread out the numbers are; and the standard deviation, which is the square root of the variance and provides an indication of how much the values typically deviate from the mean.
Variability in data can be further understood by using interquartile range, or IQR, which measures the spread of the middle 50% of the values. To identify outliers, one could use the 1.5(IQR) rule, where values lower than 'Q1 - 1.5×IQR' or higher than 'Q3 + 1.5×IQR' are considered as potential outliers.