Notes
Questions
Find the mean, median and mode of each data set
\(\textbf{1)}\) \(2,2,8,5,10,15\)![Link to Youtube Video Solving Question Number 1](https://andymath.com/wp-content/uploads/2020/08/play-video.jpg")
\(\textbf{2)}\) \(1,6,4,8,8,7,15\)
\(\textbf{3)}\) \(1,2,3,4\)
\(\textbf{4)}\) \(3,7,7,2,9,10\)
\(\textbf{5)}\) \(5,8,12,14,18\)
\(\textbf{6)}\) \(6,3,4,4,4,9\)
\(\textbf{7)}\) \(12,5,9,6,7,11,9\)
\(\textbf{8)}\) \(20,15,10,5,0\)
See Related Pages\(\)
\(\bullet\text{ Mean, Median and Mode}\)
\(\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,4,2,6,7,1,10,8,8…\)
\(\bullet\text{ Quartiles and IQR}\)
\(\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,IQR=Q3-Q1…\)
\(\bullet\text{ Box and Whisker Plot}\)
\(\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\)
\(\bullet\text{ Stem and Leaf Plot}\)
\(\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\)
In Summary…
Mean, median, and mode are all measures of central tendency, which are used to describe the characteristics of a set of data.
The mean is the arithmetic average of a set of numbers. To find the mean, add up all of the numbers in the set and divide by the total number of numbers. The mean is a useful measure of central tendency because it takes into account every value in the set. However, it can be affected by outliers, or unusually high or low values that may not be representative of the rest of the data.
The median is the middle value in a set of numbers when the numbers are arranged in order from least to greatest. To find the median, first arrange the numbers in order, and then find the number that is in the middle of the set. If there are an even number of numbers in the set, the median is the average of the two middle numbers. The median is a useful measure of central tendency because it is not affected by outliers.
The mode is the most frequently occurring value in a set of numbers. To find the mode, first arrange the numbers in order and then count how many times each number occurs. The number that occurs the most is the mode. The mode is a useful measure of central tendency when the data is categorical, rather than numerical.
It is important to note that mean, median, and mode are not always the best measures of central tendency to use, depending on the characteristics of the data. For example, the mean may not be a good measure of central tendency if the data is heavily skewed or if there are outliers present. In these cases, the median may be a more appropriate measure.