The weights of 5 ear-heads of sorghum are 100, 102, 118, 124, 126 grams. Find the standard deviation. (Round off your answer to two decimal places.)
10.95 grams
Mean: \(\bar{x} = \frac{100 + 102 + 118 + 124 + 126}{5} = \frac{570}{5} = 114\) grams.
Deviations from the mean: −14, −12, 4, 10, 12.
Squares of deviations: 196, 144, 16, 100, 144; their sum is 600.
Variance: \(\sigma^2 = \frac{600}{5} = 120\).
Standard deviation: \(\sigma = \sqrt{120} \approx 10.954\), which rounds to 10.95 grams.
Hence, the answer is 10.95 grams.
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