Question

the acreage (in thousands of acres) of the 39 u.s. national parks is shown here. construct a frequency distribution for the data using eight classes.
source: the universal almanac
41 66 233 775 169
36 338 233 236 64
183 61 13 308 77
520 77 27 217 5
650 462 106 52
505 94 75 265 402
196 70 132 28 220
760 143 46 539
part: 0 / 3
part 1 of 3
to construct eight classes, the range for each class (or the class width) should be □ acres.
round your answer to the next whole number.

Explanation:

Step1: Find the maximum and minimum values

From the data, the maximum value \(M = 760\) and the minimum value \(m=5\).

Step2: Calculate the range

The range \(R = M - m\). So, \(R=760 - 5=755\).

Step3: Calculate the class width

The formula for class width \(w=\frac{R}{k}\), where \(k = 8\) (number of classes). Then \(w=\frac{755}{8}=94.375\).

Step4: Round the class width

Rounding \(94.375\) to the next whole number, we get \(w = 95\).

Answer:

\(95\)