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Childhood Obesity Study: Boxplot of 40 6-Year-Old Weights

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Forty 6-year-olds were selected from a childhood obesity study and their weights ranged from 16.9kg to 44.8kg. A boxplot was drawn to summarize the weights using the minimum, first quartile, median, third quartile, and maximum values, with any data points more than 1.5 times the interquartile range above the third quartile or below the first quartile identified as outliers.

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Forty 6-year-olds were randomly selected from the participants in a study investigating childhood obesity. The childrens weights (in kilograms) are arranged below in order from smallest to largest: 16.9 17.0 17.1 17.5 17.7 18.1 18.3 18.6 18.8 18.9 19.1 19.1 19.2 19.5 19.6 19.9 20.0 20.2 20.3 20.4 20.5 20.8 20.8 20.8 21.0 21.3 21.9 22.2 22.5 22.7 22.9 23.0 23.4 23.5 24.4 25.6 26.5 34.2 38.2 44.8 a. Give the five-number summary of the weights of these 6-year- olds and then draw a boxplot to represent this summary. b. The width of your box, , gives the interquartile range (IQR). Calculate the IQR for these data. c. Consider any weights that fall more than above the third quartile or below the first quartile as outliers. Identify any outliers.

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Childhood Obesity Study: Boxplot of 40 6-Year-Old Weights

  • 1. Forty 6-year-olds were randomly selected from the participants in a study investigating childhood obesity. The childrens weights (in kilograms) are arranged below in order from smallest to largest: 16.9 17.0 17.1 17.5 17.7 18.1 18.3 18.6 18.8 18.9 19.1 19.1 19.2 19.5 19.6 19.9 20.0 20.2 20.3 20.4 20.5 20.8 20.8 20.8 21.0 21.3 21.9 22.2 22.5 22.7 22.9 23.0 23.4 23.5 24.4 25.6 26.5 34.2 38.2 44.8 a. Give the five-number summary of the weights of these 6-year- olds and then draw a boxplot to represent this summary. b. The width of your box, , gives the interquartile range (IQR). Calculate the IQR for these data. c. Consider any weights that fall more than above the third quartile or below the first quartile as outliers. Identify any outliers.