The weights (in grams) of a sample of apples randomly sorted from a basket are given below. Use the range rule of thumb to estimate the standard deviation of all the 350350 apples in the basket. Compare the estimated standard deviation to the measured one of 5.12 g5.12\:\text{g}.145.3,149.2,152.0,154.5,157.3,158.1,161.2,163.5,166.0,167.8145.3, 149.2, 152.0, 154.5, 157.3, 158.1, 161.2, 163.5, 166.0, 167.8

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Standard Deviation

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Problem 54Multiple Choice

The weights (in grams) of a sample of apples randomly sorted from a basket are given below. Use the range rule of thumb to estimate the standard deviation of all the $350$ apples in the basket. Compare the estimated standard deviation to the measured one of $5.12 g$ .

$145.3 comma 149.2 comma 152.0 comma 154.5 comma 157.3 comma 158.1 comma 161.2 comma 163.5 comma 166.0 comma 167.8$

$6.15 g$

The estimate is much higher than the computed standard deviation.

$4.85 g$

The estimate is significantly lower than the computed standard deviation.

$5.12 g$

The estimate is much lower than the computed standard deviation.

$5.63 g$

The estimate is slightly higher but reasonably close to the computed standard deviation.

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