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Height and weight are key measurements for tracking a child’s development. The World Health Organization assesses child development by comparing the weights of children of the same height and gender. In 2009, the weights of all 80 cm girls in a reference population were normally distributed with a mean of 10.2 kg and a standard deviation of 0.8 kg.
Using this information, calculate the following probabilities or values for the weights of 80 cm girls:
The percentage of girls with weights between 10.2 kg and 11 kg.
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\(\pourcent\)
The percentage of girls with weights between 10.2 kg and 11.8 kg.
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\(\pourcent\)
The percentage of girls with weights greater than 9.4 kg.
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In 2010, if there were 545 girls who were 80 cm tall, estimate the number of girls with weights between 9.4 kg and 11 kg (round to the nearest integer).
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For a normal distribution, the coverage probabilities are illustrated below:
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