Maximum Wind Speeds The data show the maximum wind speeds in...

Maximum Wind Speeds The data show the maximum wind speeds in miles per hour recorded for 40 states. Construct a frequency distribution using 7 classes. $$ \begin{array}{lllll} 59 & 78 & 62 & 72 & 67 \\ 76 & 92 & 77 & 64 & 83 \\ 64 & 70 & 67 & 75 & 75 \\ 78 & 75 & 71 & 72 & 93 \\ 68 & 69 & 76 & 72 & 85 \\ 64 & 70 & 77 & 74 & 72 \\ 53 & 67 & 48 & 76 & 59 \\ 87 & 53 & 77 & 70 & 63 \\ \text { Source: } & \text { NOAA } & & & \end{array} $$

Maximum Wind Speeds The data show the maximum wind speeds in miles per hour recorded for 40 states. Construct a frequency distribution using 7 classes.
$$
\begin{array}{lllll}
59 & 78 & 62 & 72 & 67 \\
76 & 92 & 77 & 64 & 83 \\
64 & 70 & 67 & 75 & 75 \\
78 & 75 & 71 & 72 & 93 \\
68 & 69 & 76 & 72 & 85 \\
64 & 70 & 77 & 74 & 72 \\
53 & 67 & 48 & 76 & 59 \\
87 & 53 & 77 & 70 & 63 \\
\text { Source: } & \text { NOAA } & & &
\end{array}
$$

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Key Concepts

Class Interval

A class interval is a set range of values used in a frequency distribution to group the data. Each interval collects a subset of the data, and together, all intervals cover the entire range of the data without overlapping.

Grouping Data

Grouping data involves collecting individual data points into classes or intervals that simplify the analysis. This method reduces complexity by summarizing many individual observations into a few categories, which helps in identifying trends and patterns within the dataset.

Class Width

The class width is the size of each interval in a frequency distribution. It is typically calculated by dividing the data range by the number of desired classes, and it may be adjusted slightly to create convenient interval boundaries.

Frequency Distribution

A frequency distribution is a summary of how often each value or range of values occurs in a dataset. It organizes raw data into classes (or intervals), making it easier to see the distribution and underlying patterns in the data.

Data Range

The data range is the difference between the maximum and minimum values in a dataset. This measure helps in understanding the spread of the data and is also used to determine the approximate width of the class intervals in a frequency distribution.

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