(a) Identify the class with the greatest, and the class with the least, relative frequency.
Find the class with the greatest relative frequency.
The highest bar in the histogram corresponds to the class with the greatest relative frequency. The highest bar is between 40.5 and 42.5 centimeters.
Find the class with the least relative frequency.
The shortest bar in the histogram corresponds to the class with the least relative frequency. The shortest bar is between 30.5 and 32.5 centimeters.
The class with the greatest relative frequency is 40.5 to 42.5 centimeters.
The class with the least relative frequency is 30.5 to 32.5 centimeters.
(b) Estimate the greatest and least relative frequencies.
Estimate the greatest relative frequency.
The greatest relative frequency is the height of the tallest bar, which appears to be at 0.25.
Estimate the least relative frequency.
The least relative frequency is the height of the shortest bar, which appears to be at approximately 0.03.
The greatest relative frequency is approximately 0.25.
The least relative frequency is approximately 0.03.
(c) Describe any patterns with the data.
Observe the distribution of the data.
The data appears to be roughly bell-shaped or normally distributed, with the majority of the data clustered around the center (approximately 40.5 cm) and tapering off towards the extremes. There are no apparent outliers or unusual gaps in the data.
The data is approximately normally distributed around a center of about 40.5 cm.
\\(\boxed{\text{The class with the greatest relative frequency is 40.5 to 42.5 centimeters.}\\ \text{The class with the least relative frequency is 30.5 to 32.5 centimeters.}}\\)
\\(\boxed{\text{The greatest relative frequency is approximately 0.25.}\\ \text{The least relative frequency is approximately 0.03.}}\\)
\\(\boxed{\text{The data is approximately normally distributed around a center of about 40.5 cm.}}\\)
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