Final answer:
To find the mean, median, and mode, we organize the data from a stem-and-leaf plot, calculate the sum and number of data points for the mean, identify the central value(s) for the median, and look for the most frequent number as the mode.
Step-by-step explanation:
The question involves the use of stem-and-leaf plots to find the mean, median, and mode of a dataset. In this dataset represented by a stem-and-leaf plot, we need to calculate these measures of central tendency. The mean is the sum of all the data values divided by the number of values, the median is the middle value when the data are ordered, and the mode is the value that appears most frequently in the dataset.
To find the mean, list out all the numbers represented by the stem-and-leaf plot and add them together before dividing by the number of values. For the median, organize the values and find the central number or take the average of the two central numbers if there's an even number of data points. To identify the mode, look for the number that appears most often in the list.
The mean tends to reflect the skewness in a dataset, as it is affected by every value, including any outliers. The median, being the middle value, is less affected by skewness and outliers. The mode reflects the most frequent occurrence and may not be indicative of skewness unless there are multiple modes or no mode at all.