Shopping spree The figure displays computer output for data on the amount spent by 50

Chapter 1, Problem 99

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QUESTION:

The figure displays computer output for data on the amount spent by 50 grocery shoppers.

Descriptive Statistics: Amount spent

\(\begin{array}{lrrrrrrrr}\text{Variable}&\text{ Total }&&\text{St}&&&&&\\ \text{Amount}&\text{Count}&\text{Mean}&\text{Dev}&\text{Minimum}&\text{Q1}&\text{Median}&\text{Q3}&\text{Maximum}\\ \text{spent}&50&34.70&21.70&3.11&19.06&27.85&45.72&93.34\end{array}\)

(a) What would you guess is the shape of the distribution based only on the computer output? Explain.

(b) Interpret the value of the standard deviation.

(c) Are there any outliers? Justify your answer.

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QUESTION:

The figure displays computer output for data on the amount spent by 50 grocery shoppers.

Descriptive Statistics: Amount spent

\(\begin{array}{lrrrrrrrr}\text{Variable}&\text{ Total }&&\text{St}&&&&&\\ \text{Amount}&\text{Count}&\text{Mean}&\text{Dev}&\text{Minimum}&\text{Q1}&\text{Median}&\text{Q3}&\text{Maximum}\\ \text{spent}&50&34.70&21.70&3.11&19.06&27.85&45.72&93.34\end{array}\)

(a) What would you guess is the shape of the distribution based only on the computer output? Explain.

(b) Interpret the value of the standard deviation.

(c) Are there any outliers? Justify your answer.

ANSWER:

Step 1 of 4

(a)

The mean is much larger than the median and the third quartile is much further from the median than the first quartile. So, the peak of the distribution will be on the left side. Therefore the shape of the distribution is right-skewed.

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