The last words given and spelled correctly at the National...

The last words given and spelled correctly at the National Spelling Bee for the past 21 years are spelled out below. Count the number of letters in each word, and find the mean, median, mode, and midrange for the data. fibranne $\quad$ euonym$\quad$ autochthonous antipyretic $\quad$chiaroscurist$\quad$ appoggiatura lyceum $\quad$logorrhea$\quad$ Ursprache kamikaze $\quad$demarche$\quad$ serrefine antediluvian$\quad$ succedaneum$\quad$ guerdon xanthosi$\quad$s propispicience $\quad$stromuhr vivisepulture$\quad$ pococurante $\quad$cymatrichous

The last words given and spelled correctly at the National Spelling Bee for the past 21 years are spelled out below. Count the number of letters in each word, and find the mean, median, mode, and midrange for the data.

fibranne $\quad$ euonym$\quad$ autochthonous
antipyretic $\quad$chiaroscurist$\quad$ appoggiatura
lyceum $\quad$logorrhea$\quad$ Ursprache
kamikaze $\quad$demarche$\quad$ serrefine
antediluvian$\quad$ succedaneum$\quad$ guerdon
xanthosi$\quad$s propispicience $\quad$stromuhr
vivisepulture$\quad$ pococurante $\quad$cymatrichous

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Key Concepts

Data Collection

Gathering numerical data from observations is the first step in statistical analysis. In this context, counting the letters of each word converts qualitative information into quantitative data that can be summarized with statistical measures.

Arithmetic Mean

The arithmetic mean is the sum of all data points divided by the number of data points. It provides a measure of central tendency and is useful for understanding the overall average of the dataset.

Median

The median is the middle value in a sorted list of numbers. This measure of central tendency is less affected by extreme values or outliers and gives a good indication of the central position in the data.

Mode

The mode is the value that occurs most frequently in a dataset. It is particularly useful for identifying the most common value and understanding the frequency distribution within the data.

Midrange

The midrange is calculated by averaging the smallest and largest values in the dataset. This measure gives an additional perspective on central tendency by considering only the extreme values, though it is highly sensitive to outliers.

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