The following are body mass index (BMI) scores measured in 8 patients who are free of diabetes and participating in a study of risk factors for obesity. BMI is measured as the ratio of weight in kilograms to height in meters squared. 25, 27, 31, 26, 28, 41, 26, and 40 Construct a boxplot. Are there potential outliers in the data? Justify your answer. What is the shape of the distribution? Justify your answer. Hint: Use can infer from the boxplot or by just comparing the mean to the median. Compute the standard deviation. What is the z-score for observation 41? Comment on the value obtained in part (l) above.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
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The following are body mass index (BMI) scores measured in 8 patients who are free of diabetes and participating in a study of risk factors for obesity. BMI is measured as the ratio of weight in kilograms to height in meters squared. 25, 27, 31, 26, 28, 41, 26, and 40

Construct a boxplot. Are there potential outliers in the data? Justify your answer.

What is the shape of the distribution? Justify your answer. Hint: Use can infer from the boxplot or by just comparing the mean to the median.

Compute the standard deviation.

What is the z-score for observation 41?

Comment on the value obtained in part (l) above.

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