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Use the given minimum and maximum data entries, and the number of classes, to find the class width, the lower class limits, and the upper class limits.
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\[
\text { minimum }=18 \text {, } \text { maximum }=140,8 \text { classes }
\]
The class width is 16 .
(Type a whole number.)
Choose the correct lower class limits below.
A. $33,49,66,81,97,113,130,145$
B. $18,33,50,65,81,98,113,130$
C. $34,49,66,82,98,113,129,145$
D. $18,34,50,66,82,98,114,130$
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None of the given options for lower class limits in the question are correct. Therefore, the final answer is: \(\boxed{\text{Class width} = 15, \text{Lower class limits} = [18, 33, 49, 64, 79, 94, 110, 125], \text{Upper class limits} = [33, 48, 64, 79, 94, 110, 125, 140]}\)

Steps

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: \(\boxed{\text{Class width} = 15, \text{Lower class limits} = [18, 33, 49, 64, 79, 94, 110, 125], \text{Upper class limits} = [33, 48, 64, 79, 94, 110, 125, 140]}\)

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