Question 5.76

46. Figures 5.34 and 5.35 show histograms of the height and body mass index (BMI), respectively, of 6-year-olds participating in an investigation into childhood obesity.

  1. Make a sketch of the histogram in Figure 5.34. Do you think that the height of 6-year-olds follows a normal distribution? If yes, draw a normal curve over your histogram. If no, explain why not and draw a density curve that provides a better fit.
  2. Make a sketch of the histogram in Figure 5.35. Do you think that the BMI of 6-year-olds follows a normal distribution? If yes, draw a normal curve over it. If no, explain why not and draw a density curve that provides a better fit.
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Figure 5.36: Figure 5.34 Height (in centimeters) of 6-year-olds.
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Figure 5.37: Figure 5.35 BMI of 6-year-olds.