Construct and Interpret a Boxplot or a Modified Boxplot as Specified

question 99

Multiple Choice

Construct and interpret a boxplot or a modified boxplot as specified.
-The normal monthly precipitation (in inches) for August is listed for 20 different U.S. cities. Construct a boxplot for the data. $\begin{array} { l l l l l } 0.4 & 1.0 & 1.5 & 1.6 & 2.0 \end{array}$
$\begin{array} { l l l l l l } 2.2 & 2.4 & 2.7 & 3.4 & 3.4 \end{array}$
$\begin{array} { l l l l l } 3.5 & 3.6 & 3.6 & 3.7 & 3.7 \\ 3.9 & 4.1 & 4.2 & 4.2 & 7.0 \end{array}$

• A) The data is symmetrical. It is a uniform distribution.
• B) The data is slightly left-skewed.
• C) The data is slightly left-skewed.
• D) The data is highly left-skewed.

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Definitions:

Interval Estimate

Interval Estimate is a range of values used to estimate a population parameter, typically expressed through confidence intervals.

Population Parameter

A value, such as a mean or standard deviation, that describes a characteristic of an entire population.

Normal Distribution

A distribution pattern in probabilities that is balanced around the mean, signifying that data points near the mean have a higher frequency of occurrence compared to those far from the mean.

T Distribution

A probability distribution that arises when estimating the mean of a normally distributed population in situations where the sample size is small and the population standard deviation is unknown.