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Chapter 3: Q5 (page 128)

Histogram The accompanying histogram depicts outcomes of digits from the Florida Play 4 lottery. What is the major flaw in this histogram?

Short Answer

Expert verified

The given histogram is plotted with the vertical axis, not beginning with a 0. Thus, this tends to misrepresent the actual frequency of each digit, and the differences in the frequencies are exaggerated.

Step by step solution

01

Given information

A histogram is plotted, which shows the frequency of the digits 0–9 in the Florida Play 4 lottery.

02

Define a histogram

A histogram is a plot used to graphically represent a frequency distribution based on a continuous range of numbers. All the class frequencies are plotted on the vertical axis, while all the class intervals (midpoints/limits) are plotted on the horizontal axis.

03

Interpretation of the given histogram

The frequency axis shouldalways begin with a 0to show the accurate frequency of each class. If the vertical axis does not begin with a 0, the deviations among each frequency are exaggerated or enlarged. This results in false interpretations.

The given histogram showing the frequencies of each digit in a lottery doesnot begin with a 0 on the vertical axis. This leads tomagnified differences between each frequency and gives a wrong picture.

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2.4 Mbps
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