An article in Technometrics (Vol. 19, 1977, p. 425) presents the following data

Question

An article in Technometrics (Vol. 19, 1977, p. 425) presents the following data on the motor fuel octane ratings of several blends of gasoline. Construct a frequency distribution and histogram for these data. Use 8 bins. 90.1 99.1 91.9 94.2 94.4 91.9 91.7 90.9 92.6 89.7 91.1 83.9 87.1 88.8 87.7 90.4 84.4 90.8 90.5 89.3 94.3 93.3 88.5 89.4 90.792.5 91.5 88.2 93.4 92.6 89.4 91.6 88.6 91.0 89.0 89.3 89.8 95.789.5 88.0 91.2 92.9 89.5 91.7 89.6 85.3 90.9 91.8 91.1 86.5 94.9 87.0 90.5 94.688.1 91.5 92.4 85.7 90.7 88.2 86.8 90.6 90.1 86.0 88.9 90.8 94.8 87.3 91.9 91.7 94.6 90.2 100.4 89.6 93.3 91.6 90.6 96.9 91.1 88.389.5 88.4 85.7 Choose the correct answer.

Explanation / Answer

putting above data into ascending order:

therefore first option A is correct

83.9 84.4 85.3 85.7 85.7 86 86.5 86.8 87 87.1 87.3 87.7 88 88.1 88.2 88.2 88.3 88.4 88.5 88.6 88.8 88.9 89 89.3 89.3 89.4 89.4 89.5 89.5 89.5 89.6 89.6 89.7 89.8 90.1 90.1 90.2 90.4 90.5 90.5 90.6 90.6 90.7 90.7 90.8 90.8 90.9 90.9 91 91.1 91.1 91.1 91.2 91.5 91.5 91.6 91.6 91.7 91.7 91.7 91.8 91.9 91.9 91.9 92.4 92.5 92.6 92.6 92.9 93.3 93.3 93.4 94.2 94.3 94.4 94.6 94.6 94.8 94.9 95.7 96.9 99.1 100.4

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