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Spencer was 40 inches tall as a 4-year old which placed him in the top 10% of all children of similar age. the mean height for such children is 38 inches. based on this information, what is the standard deviation?

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sqdancefan

The 90th percentile is 1.2816 standard deviations from the mean. That tells you the standard deviation is ...

... (40 in - 38 in)/(1.2816) ≈ 1.56 in

The standard deviation for height for 4-year olds seems to be 1.56 inches.

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