For the data sets in Exercises 13-15, find the mean, the...

For the data sets in Exercises $13-15,$ find the mean, the median, and the mode. Comment on the skewness or symmetry of the data. The following data give the estimated prices of a 170-gram can or a 200-gram pouch of water-packed tuna for 14 different brands, based on prices paid nationally in supermarkets. $\begin{array}{rrrrrrr}.99 & 1.92 & 1.23 & .85 & .65 & .53 & 1.41 \\ 1.12 & .63 & .67 & .69 & .60 & .60 & .66\end{array}$

For the data sets in Exercises $13-15,$ find the mean, the median, and the mode. Comment on the skewness or symmetry of the data.
The following data give the estimated prices of a 170-gram can or a 200-gram pouch of water-packed tuna for 14 different brands, based on prices paid nationally in supermarkets.
$\begin{array}{rrrrrrr}.99 & 1.92 & 1.23 & .85 & .65 & .53 & 1.41 \\ 1.12 & .63 & .67 & .69 & .60 & .60 & .66\end{array}$

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Key Concepts

Skewness

Skewness is a measure of the asymmetry of the distribution of data. A distribution can be positively skewed (long tail on the right), negatively skewed (long tail on the left), or symmetric. Understanding skewness helps in interpreting whether the central measures such as the mean or median provide a good representation of the data, especially in the presence of outliers.

Mode

The mode is the most frequently occurring value in a data set. Unlike the mean and median, the mode can be used with nominal data and may represent more than one value if multiple values occur with the same highest frequency.

Mean

The mean is the arithmetic average of a data set, calculated by summing all observations and then dividing by the number of observations. It is a measure of central tendency that provides an overall value for the dataset, although it can be sensitive to extreme values or outliers.

Median

The median is the middle value of a sorted data set. When the number of observations is odd, it is the central number; when even, it is the average of the two central numbers. The median is a robust measure of central tendency, less affected by outliers or skewed data than the mean.

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