Step 1 :Given the minimum value as 18, the maximum value as 140 and the number of classes as 8.
Step 2 :Calculate the class width by subtracting the minimum value from the maximum value and then dividing by the number of classes. \(\text{class width} = \frac{\text{maximum} - \text{minimum}}{\text{classes}} = \frac{140 - 18}{8} = 15.25\)
Step 3 :Calculate the lower class limits by adding the class width times the class number, starting from 0, to the minimum value. The lower class limits are [18.0, 33.25, 48.5, 63.75, 79.0, 94.25, 109.5, 124.75].
Step 4 :Calculate the upper class limits by adding the class width to the lower class limit. The upper class limits are [33.25, 48.5, 63.75, 79.0, 94.25, 109.5, 124.75, 140.0].
Step 5 :Since the question asks for whole numbers, round these values to the nearest whole number. The class width is then 15, the lower class limits are [18, 33, 49, 64, 79, 94, 110, 125], and the upper class limits are [33, 48, 64, 79, 94, 110, 125, 140].
Step 6 :None of the given options for lower class limits in the question are correct. Therefore, the final answer is: \(\boxed{\text{Class width} = 15, \text{Lower class limits} = [18, 33, 49, 64, 79, 94, 110, 125], \text{Upper class limits} = [33, 48, 64, 79, 94, 110, 125, 140]}\)