Summary Information Is Given for the Weights (In Pounds) of 1000

question 107

Multiple Choice

Summary information is given for the weights (in pounds) of 1000 randomly sampled tractor trailers. $$\begin{array} { l r l l } \text { MIN: } & 3996 & 25 \% : & 5596 \\\text { MAX: } & 10,596 & 75 \% : & 8596 \\\text { AVE: } & 6996 & \text { Std. Dev.: } & 1400\end{array}$$ Find the percentage of tractor trailers with weights between 5596 and 8596 pounds.

• A) 75%
• B) 100%
• C) 50%
• D) 25%

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Definitions:

Mean

The average of a set of numerical values, calculated by dividing the sum of the values by the number of values.

Normal Distribution

A bell-shaped frequency distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Standard Deviation

A statistic that measures the dispersion or spread of a set of data points relative to its mean.

Mean

The average of a set of numbers, calculated by dividing the sum of these numbers by the count of the numbers.